Browsing by Author "Osman, M.S."

Now showing 1 - 14 of 14

Citation Count: Arqub, Omar Abu;...et.al. (2022). "A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves", Alexandria Engineering Journal, Vol.61, No.7, pp.5753-5769.
A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves
(2022) Arqub, Omar Abu; Al-Smadi, Mohammed; Almusawa, Hassan; Baleanu, Dumitru; Hayat, Tasawar; Alhodaly, Mohammed; Osman, M.S.; 56389
The purpose of this research is to study, investigate, and analyze a class of temporal time-FNEE models with time-FCDs that are indispensable in numerous nonlinear wave propagation phenomena. For this purpose, an efficient semi-analytical algorithm is developed and designed in view of the residual error terms for solving a class of fifth-order time-FCKdVEs. The analytical solutions of a dynamic wavefunction of the fractional Ito, Sawada-Kotera, Lax's Korteweg-de Vries, Caudrey-Dodd-Gibbon, and Kaup-Kupershmidt equations are provided in the form of a convergent conformable time-fractional series. The related consequences are discussed both theoretically as well as numerically considering the conformable sense. In this direction, convergence analysis and error estimates of the developed algorithm are studied and analyzed as well. Concerning the considered models, specific unidirectional physical experiments are given in a finite compact regime to confirm the theoretical aspects and to demonstrate the superiority of the novel algorithm compared to the other existing numerical methods. Moreover, some representative results are presented in two- and three-dimensional graphs, whilst dynamic behaviors of fractional parameters are reported for several α values. From the practical viewpoint, the archived simulations and consequences justify that the iterative algorithm is a straightforward and appropriate tool with computational efficiency for long-wavelength solutions of nonlinear time-FPDEs in physical phenomena.
Citation Count: Chowdhury, M. Akher...et.al. (2023). "Advanced exact solutions to the nano-ionic currents equation through MTs and the soliton equation containing the RLC transmission line", European Physical Journal Plus, Vol.138, No.6.
Advanced exact solutions to the nano-ionic currents equation through MTs and the soliton equation containing the RLC transmission line
(2023) Chowdhury, M. Akher; Miah, M. Mamun; Iqbal, M. Ashik; Alshehri, Hashim M.; Baleanu, Dumitru; Osman, M.S.; 56389
In this study, the double (G′/G, 1/G)-expansion method is utilized for illustrating the improved explicit integral solutions for the two of nonlinear evolution equations. To expose the importance and convenience of our assumed method, we herein presume two models, namely the nano-ionic currents equation and the soliton equation. The exact solutions are generated with the aid of our proposed method in such a manner that the solutions involve to the rational, trigonometric, and hyperbolic functions for the first presumed nonlinear equation as well as the trigonometric and hyperbolic functions for the second one with meaningful symbols that promote some unique periodic and solitary solutions. The method used here is an extension of the (G′/G)-expansion method to rediscover all known solutions. We offer 2D and 3D charts of the various recovery solutions to better highlight our findings. Finally, we compared our results with those of earlier solutions. © 2023, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
Citation Count: Ali Akbar, M. ;...et.al. (2022). "Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme", Results in Physics, Vol.43.
Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme
(2022) Ali Akbar, M.; Wazwaz, Abdul-Majid; Mahmud, Forhad; Baleanu, Dumitru; Roy, Ripan; Barman, Hemonta Kumar; Mahmoud, W.; Al Sharif, Mohammed A.; Osman, M.S.; 56389
The perturbed nonlinear Schrödinger (NLS) equation and the nonlinear radial dislocations model in microtubules (MTs) are the underlying frameworks to simulate the dynamic features of solitons in optical fibers and the functional aspects of microtubule dynamics. The generalized Kudryashov method is used in this article to extract stable, generic, and wide-ranging soliton solutions, comprising hyperbolic, exponential, trigonometric, and some other functions, and retrieve diverse known soliton structures by balancing the effects of nonlinearity and dispersion. It is established by analysis and graphs that changing the included parameters changes the waveform behavior, which is largely controlled by nonlinearity and dispersion effects. The impact of the other parameters on the wave profile, such as wave speed, wavenumber, etc., has also been covered. The results obtained demonstrate the reliability, efficiency, and capability of the implemented technique to determine wide-spectral stable soliton solutions to nonlinear evolution equations emerging in various branches of scientific, technological, and engineering domains.
Citation Count: Adel M.;...et.al. (2022). "Inelastic soliton wave solutions with different geometrical structures to fractional order nonlinear evolution equations", Results in Physics, Vol.38.
Inelastic soliton wave solutions with different geometrical structures to fractional order nonlinear evolution equations
(2022) Adel, M.; Baleanu, Dumitru; Sadiya, Umme; Asif Arefin, Mohammad; Hafiz, Uddin M.; Elamin, Mahjoub A.; Osman, M.S.; 56389
The general time fractional Burger- Fisher (TF-BF) and the space–time regularized long-wave (STF-RLW) equations are considered as examples of gravitational water waves in cold plasma as well as so many areas. The above equations are used in nonlinear science and engineering to study long waves in seas and harbors that travel in just one direction. First, the two equations are transformed to ODEs by applying a fractional complex transform along with characteristics of confirmable fractional derivative (CFD). Then, the extended tanh-function (ET-F) approach is investigated to find a variety of analytical solutions with different geometrical wave structures the mentioned models. The results are in the form of kink, one-, two
Citation Count: Kumar, Sachin;...et.al. (2022). "Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations", Symmetry, Vol.14, No.3.
Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations
(2022) Kumar, Sachin; Kumar Dhiman, Shubham; Baleanu, Dumitru; Osman, M.S.; 56389
This investigation focuses on two novel Kadomtsev–Petviashvili (KP) equations with timedependent variable coefficients that describe the nonlinear wave propagation of small-amplitude surface waves in narrow channels or large straits with slowly varying width and depth and nonvanishing vorticity. These two variable coefficients, Kadomtsev–Petviashvili (VCKP) equations in (2+1)-dimensions, are the main extensions of the KP equation. Applying the Lie symmetry technique, we carry out infinitesimal generators, potential vector fields, and various similarity reductions of the considered VCKP equations. These VCKP equations are converted into nonlinear ODEs via two similarity reductions. The closed-form analytic solutions are achieved, including in the shape of distinct complex wave structures of solitons, dark and bright soliton shapes, double W-shaped soliton shapes, multi-peakon shapes, curved-shaped multi-wave solitons, and novel solitary wave solitons. All the obtained solutions are verified and validated by using back substitution to the original equation through Wolfram Mathematica. We analyze the dynamical behaviors of these obtained solutions with some three-dimensional graphics via numerical simulation. The obtained variable coefficient solutions are more relevant and useful for understanding the dynamical structures of nonlinear KP equations and shallow water wave models.
Citation Count: Lu D.;...et.al. (2019). "New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications", Results in Physics, Vol.14.
New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications
(2019) Lu, D.; Tariq, K.U.; Osman, M.S.; Baleanu, Dumitru; Younis M., Younis M; Khater, M.M.A.; 56389
Different types of soliton wave solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq equations are investigated via the solitary wave ansatz method. These solutions are classified into three categories, namely solitary wave, shock wave, and singular wave solutions. The corresponding integrability criteria, termed as constraint conditions, obviously arise from the study. Moreover, the influences of the free parameters and interaction properties in these solutions are discussed graphically for physical interests and possible applications
Citation Count: Iqbal, M. Ashik;...et.al. (2023). "New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double G′/G,1/G-expansion method", Results in Physics, Vol.47.
New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double G′/G,1/G-expansion method
(2023) Iqbal, M. Ashik; Baleanu, Dumitru; Miah, M. Mamun; Alit, H.M. Shahada; Alshehri, Hashim M.; Osman, M.S.; 56389
In the electrical transmission lines, the processing of cable signals distribution, computer networks, high-speed computer databases and discrete networks can be investigated by the modified Zakharov-Kuznetsov (mZK) equation as a data link propagation control model in the study of nonlinear Schrödinger type equations as well as in the analysis of the generalized stationary Gardner equation. The proposed Gerdjikov–Ivanov model can be used in the field of nonlinear optics, weakly nonlinear dispersion water waves, quantum field theory etc. In this work, we developed complete traveling wave solutions with specific t-type, kink type, bell-type, singular solutions, and periodic singular solutions to the proposed mZK equation and the Gerdjikov-Ivanov equation with the aid of the double G′/G,1/G- expansion method. These settled solutions are very reliable, durable, and authentic which can measure the fluid velocity and fluid density in the electrically conductive fluid and be able to analysis of the flow of current and voltage of long-distance electrical transmission lines too. These traveling wave solutions are available in a closed format and make them easy to use. The proposed method is consistent with the abstraction of traveling wave solutions.
Citation Count: Nisar, Kottakkaran Sooppy...et al. (2022). "On beta-time fractional biological population model with abundant solitary wave structures", Alexandria Engineering Journal, Vol. 61, No. 3, pp. 1996-2008.
On beta-time fractional biological population model with abundant solitary wave structures
(2022) Nisar, Kottakkaran Sooppy; Ciancio, Armando; Ali, Khalid K.; Osman, M.S.; Cattani, Carlo; Baleanu, Dumitru; Zafar, Asim; Raheel, M.; Azeem, M.; 56389
The ongoing study deals with various forms of solutions for the biological population model with a novel beta-time derivative operators. This model is very conducive to explain the enlargement of viruses, parasites and diseases. This configuration of the aforesaid classical scheme is scouted for its new solutions especially in soliton shape via two of the well known analytical strategies, namely: the extended Sinh-Gordon equation expansion method (EShGEEM) and the Expa function method. These soliton solutions suggest that these methods have widened the scope for generating solitary waves and other solutions of fractional differential equations. Different types of soliton solutions will be gained such as dark, bright and singular solitons solutions with certain conditions. Furthermore, the obtained results can also be used in describing the biological population model in some better way. The numerical solution for the model is obtained using the finite difference method. The numerical simulations of some selected results are also given through their physical explanations. To the best of our knowledge, No previous literature discussed this model through the application of the EShGEEM and the Expa function method and supported their new obtained results by numerical analysis.
Citation Count: Osman, M.S...et al. (2021). "On distinctive solitons type solutions for some important nonlinear Schrödinger equations", Optical and Quantum Electronics, Vol. 53, No. 2.
On distinctive solitons type solutions for some important nonlinear Schrödinger equations
(2021) Osman, M.S.; Machado, J.A.T.; Baleanu, Dumitru; Zafar, A.; Raheel, M.; 56389
The extended Jacobi elliptic function expansion (EJEFE) method is used to retrieve several types of optical solitons of two nonlinear Schrödinger equations, namely the Heisenberg ferromagnetic spin chains and Alfvén envelop equations. The obtained traveling wave solutions and the corresponding plots are analysed by means of the symbolic package Mathematica. The solutions show that the proposed strategy is effective and reliable for solving different types of nonlinear differential equations.
Citation Count: Kumar Barman, Hemonta...et al. (2021). "Physically significant wave solutions to the Riemann wave equations and the Landau-Ginsburg-Higgs equation", Results in Physics, Vol. 27.
Physically significant wave solutions to the Riemann wave equations and the Landau-Ginsburg-Higgs equation
(2021) Kumar Barman, Hemonta; Aktar, Most. Shewly; Uddin, M. Hafiz; Akbar, M. Ali; Baleanu, Dumitru; Osman, M.S.; 56389
The nonlinear Riemann wave equations (RWEs) and the Landau-Ginsburg-Higgs (LGH) equation are related to plasma electrostatic waves, ion-cyclotron wave electrostatic potential, superconductivity, and drift coherent ion-cyclotron waves in centrifugally inhomogeneous plasma. In this article, the interactions between the maximum order linear and nonlinear factors are balanced to compute realistic soliton solutions to the formerly stated equations in terms of hyperbolic functions. The linear and nonlinear effects rheostat the structure of the wave profiles, which vary in response to changes in the subjective parameters combined with the solutions. The established solutions to the aforementioned models using the extended tanh scheme are descriptive, typical, and consistent, and include standard soliton shapes such as bright soliton, dark soliton, compacton, peakon, periodic, and others that can be used to analyze in ion-acoustic and magneto-sound waves in plasma, homogeneous, and stationary media, particularly in the propagation of tidal and tsunami waves.
Citation Count: Almusawa, Hassan...et al. (2021). "Protracted study on a real physical phenomenon generated by media inhomogeneities", Results in Physics, Vol. 31.
Protracted study on a real physical phenomenon generated by media inhomogeneities
(2021) Almusawa, Hassan; Ali, Khalid K.; Wazwaz, Abdul-Majid; Mehanna, M.S.; Baleanu, Dumitru; Osman, M.S.; 56389
In this work, we study the dynamical behavior for a real physical application due to the inhomogeneities of media via analytical and numerical approaches. This phenomenon is described by the 3D Date–Jimbo–Kashiwara–Miwa (3D-DJKM) equation. For analytical techniques, three different methods are performed to get hyperbolic, trigonometric and rational functions solutions. After that, the obtained solutions are graphically depicted through 2D- and 3D-plots and numerically compared via the finite difference algorithm to check the precision of the proposed methods.
Citation Count: Baleanu, Dumitru...et al. (2020). "Soliton solutions of a nonlinear fractional sasa-satsuma equation in monomode optical fibers", Applied Mathematics and Information Sciences, Vol. 14, No. 3, pp. 365-374.
Soliton solutions of a nonlinear fractional sasa-satsuma equation in monomode optical fibers
(2020) Baleanu, Dumitru; Osman, M.S.; Zubair, Asad; Raza, Nauman; Arqub, Omar Abu; Ma, Wen-Xiu; 56389
This article is devoted to retrieving soliton solutions of a nonlinear Sasa-Satsuma equation governing the propagation of short light pulses in the monomode optical fibers using the effect of conformable fractional transformation. The Integrability is carried out by incorporating two versatile integration gadgets namely the first integral method and the generalized projective Riccati equation method. The resulting solutions include bright, dark, singular, periodic as well as rational solitons along with their existence criteria. Furthermore, the fractional behavior of the solutions is investigated comprehensively using graphs.
Citation Count: Hosseini, Kamyar...et al. (2020). "Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation", Frontiers in Physics, Vol. 8.
Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation
(2020) Hosseini, Kamyar; Mirzazadeh, Mohammad; Osman, M.S.; Al Qurashi, Maysaa; Baleanu, Dumitru; 56389
The complex Ginzburg–Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified Jacobi elliptic expansion method. In special cases, several dark and bright soliton solutions to the CGL equation are retrieved when the modulus of ellipticity approaches unity. The results presented in the current work can help to complete previous studies on the complex Ginzburg–Landau equation.
Citation Count: Alharthi, Mohammed Shaaf...et.al. (2022). "The dynamical behavior for a famous class of evolution equations with double exponential nonlinearities", Journal of Ocean Engineering and Science, pp.1-7.
The dynamical behavior for a famous class of evolution equations with double exponential nonlinearities
(2022) Alharthi, Mohammed Shaaf; Baleanu, Dumitru; Ali, Khalid K.; Nuruddeen, R.I.; Muhammad, Lawal; Aljohani, Abdulrahman F.; Osman, M.S.; 56389
An analytical investigation for a famous class of evolution equations with double exponential nonlinearities that has vast applications in many nonlinear sciences is presented. These equations include the Tzitzéica Equation (TE), Dodd-Bullough-Mikhailov Equation (DBME), Tzitzéica-Dodd-Bullough-Mikhailov equation (TDBME) and the Peyrard Bishop DNA Equation (PB-DNA-E). Furthermore, the Kudryashov method for constructing exponential function solutions has been employed to reveal various sets of traveling wave solutions with different geometrical structures to the identified models. We also give the graphical illustrations of certain solutions to further analyze the results.