Browsing by Author "Mirzazadeh, M."

Now showing 1 - 13 of 13

Citation Count: Hosseini, K.;...et.al. "A new generalized KdV equation: Its lump-type, complexiton and soliton solutions", International Journal of Modern Physics B, Vol.36, No.31.
A new generalized KdV equation: Its lump-type, complexiton and soliton solutions
(2022) Hosseini, K.; Salahshour, S.; Baleanu, D.; Mirzazadeh, M.; Dehingia, K.; 56389
A new generalized KdV equation, describing the motions of long waves in shallow water under the gravity field, is considered in this paper. By adopting a series of well-organized methods, the Bäcklund transformation, the bilinear form and diverse wave structures of the governing model are formally extracted. The exact solutions listed in this paper are categorized as lump-type, complexiton, and soliton solutions. To exhibit the physical mechanism of the obtained solutions, several graphical illustrations are given for particular choices of the involved parameters. As a direct consequence, diverse wave structures given in this paper enrich the studies on the KdV-type equations.
Citation Count: Hosseini K.;...et.al. (2023). "Bäcklund Transformation, Complexiton, and Solitons of a (4 + 1)-dimensional Nonlinear Evolutionary Equation", International Journal of Applied and Computational Mathematics, Vol.8, No.6.
Bäcklund Transformation, Complexiton, and Solitons of a (4 + 1)-dimensional Nonlinear Evolutionary Equation
(2022) Hosseini, K.; Salahshour, S.; Baleanu, D.; Mirzazadeh, M.; 56389
The main purpose of the current paper is to establish a (4 + 1)-dimensional nonlinear evolutionary (4D-NLE) equation and derive its Bäcklund transformation, complexiton, and solitons. To this end, the Bäcklund transformation of the 4D-NLE equation is first constructed by applying the truncated Painlevé expansion. The simplified Hirota’s method is then employed to acquire the solitons of the governing model. In the end, the complexiton of the 4D-NLE equation is retrieved using the Zhou–Ma method. As the completion of studies, several graphical representations are considered for different parameter values to show the dynamics of complexiton and solitons.
Citation Count: Osman, M. S...et al. (2020). "Double-wave solutions and Lie symmetry analysis to the (2+1)-dimensional coupled Burgers equations", Chinese Journal of Physics, Vol. 63, pp. 122-129.
Double-wave solutions and Lie symmetry analysis to the (2+1)-dimensional coupled Burgers equations
(2020) Osman, M. S.; Baleanu, Dumitru; Adem, A. R.; Hosseini, K.; Mirzazadeh, M.; Eslami, M.; 56389
This paper investigates the (2 + 1)-dimensional coupled Burgers equations (CBEs) which is an important nonlinear physical model. In this respect, by making use of the generalized unified method (GUM), a series of double-wave solutions of the (2 + 1)-dimensional coupled Burgers equations are derived. The Lie symmetry technique (LST) is also utilized for the symmetry reductions of the (2 + 1)-dimensional coupled Burgers equations and extracting a non-traveling wave solution. Through some figures, we discussed the wave structures of the double-wave solutions of the CBEs for different values of parameters in these solutions.
Citation Count: Hosseini K.,...et.al. (2022). "Multi-complexiton and positive multi-complexiton structures to a generalized B-type Kadomtsev−Petviashvili equation", Journal of Ocean Engineering and Science.
Multi-complexiton and positive multi-complexiton structures to a generalized B-type Kadomtsev−Petviashvili equation
(2022) Hosseini, K.; Baleanu, D.; Rezapour, S.; Salahshour, S.; Mirzazadeh, M.; Samavat, M.; 56389
Recently, Zhang et al. (International Journal of Modern Physics B 30 (2016) 1640029) constructed N-wave solutions of a generalized B-type Kadomtsev−Petviashvili (gbKP) equation using the linear superposition method. The authors’ aim of the present paper is to derive multi-complexiton and positive multi-complexiton structures of the gbKP equation through considering N-wave solutions and applying specific systematic methods. To investigate the dynamical characteristics of positive multi-complexiton structures, particularly single and double positive complexitons, several two and three-dimensional simulations are formally considered. The results of the current research enrich the studies regarding the gbKP equation.
Citation Count: Hosseini, K...et al. (2020). "Multiwave, multicomplexiton, and positive multicomplexiton solutions to a (3 + 1)-dimensional generalized breaking soliton equation", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 3473-3479.
Multiwave, multicomplexiton, and positive multicomplexiton solutions to a (3 + 1)-dimensional generalized breaking soliton equation
(2020) Hosseini, K.; Seadawy, Aly R.; Mirzazadeh, M.; Eslami, M.; Radmehr, S.; Baleanu, Dumitru; 56389
There are a lot of physical phenomena which their mathematical models are decided by nonlinear evolution (NLE) equations. Our concern in the present work is to study a special type of NLE equations called the (3 + 1)-dimensional generalized breaking soliton (3D-GBS) equation. To this end, the linear superposition (LS) method along with a series of specific techniques are utilized and as an achievement, multiwave, multicomplexiton, and positive multicomplexiton solutions to the 3D-GBS equation are formally constructed. The study confirms the efficiency of the methods in handling a wide variety of nonlinear evolution equations. © 2020 Faculty of Engineering, Alexandria University
Citation Count: Hosseini K.;...et.al. (2022). "Optical solitons of a high-order nonlinear Schrödinger equation involving nonlinear dispersions and Kerr effect", Optical and Quantum Electronics, Vol.54, no.3.
Optical solitons of a high-order nonlinear Schrödinger equation involving nonlinear dispersions and Kerr effect
(2022) Hosseini, K.; Mirzazadeh, M.; Baleanu, D.; Salahshour, S.; Akinyemi, L.; 56389
The main aim of this paper is to conduct a detailed study on a high-order nonlinear Schrödinger (HONLS) equation involving nonlinear dispersions and the Kerr effect. More precisely, after reducing the governing model describing ultra-short pulses in optical fibers in a one-dimensional domain, its optical solitons including the bright and dark solitons are derived through the modified Kudryashov (MK) method. The dynamical behavior of the bright and dark solitons is formally investigated for different sets of the involved parameters. It is shown that increasing and decreasing nonlinear dispersions lead to significant changes in the amplitude of the bright and dark solitons.
Citation Count: Hosseini K.;...et.al. (2022). "Optical solitons to the Ginzburg–Landau equation including the parabolic nonlinearity", Optical and Quantum Electronics, Vol.54, No.10.
Optical solitons to the Ginzburg–Landau equation including the parabolic nonlinearity
(2022) Hosseini, K.; Mirzazadeh, M.; Akinyemi, L.; Baleanu, D.; Salahshour, S.; 56389
The major goal of the present paper is to construct optical solitons of the Ginzburg–Landau equation including the parabolic nonlinearity. Such an ultimate goal is formally achieved with the aid of symbolic computation, a complex transformation, and Kudryashov and exponential methods. Several numerical simulations are given to explore the influence of the coefficients of nonlinear terms on the dynamical features of the obtained optical solitons. To the best of the authors’ knowledge, the results reported in the current study, classified as bright and kink solitons, have a significant role in completing studies on the Ginzburg–Landau equation including the parabolic nonlinearity.
Citation Count: Salahshour, S...et al. (2021). "Soliton structures of a nonlinear Schrödinger equation involving the parabolic law", Optical and Quantum Electronics, Vol. 53, No. 12.
Soliton structures of a nonlinear Schrödinger equation involving the parabolic law
(2021) Salahshour, S.; Hosseini, K.; Mirzazadeh, M.; Baleanu, Dumitru; 56389
The search for soliton structures plays a pivotal role in many scientific disciplines particularly in nonlinear optics. The main concern of the present paper is to explore the dynamics of soliton structures in a nonlinear Schrödinger (NLS) equation with the parabolic law. In this respect, the reduced form of the NLS equation is firstly extracted; then, its soliton structures are derived in the presence of spatio-temporal dispersions using the Kudryashov method. As the completion of studies, the impact of increasing and decreasing the coefficients of the parabolic law on the dynamics of soliton structures is formally addressed through representing several two- and three-dimensional figures.
Citation Count: Hosseini, K...et al. (2022). "Specific wave structures of a fifth-order nonlinear water wave equation", JOURNAL OF OCEAN ENGINEERING AND SCIENCE, Vol. 7, No. 5, pp. 462-466.
Specific wave structures of a fifth-order nonlinear water wave equation
(2022) Hosseini, K.; Mirzazadeh, M.; Salahshour, S.; Baleanu, Dumitru; Zafar, A.; 56389
Investigated in the present paper is a fifth-order nonlinear evolution (FONLE) equation, known as a non-linear water wave (NLWW) equation, with applications in the applied sciences. More precisely, a travel-ing wave hypothesis is firstly applied that reduces the FONLE equation to a 1D domain. The Kudryashov methods (KMs) are then adopted as leading techniques to construct specific wave structures of the gov-erning model which are classified as W-shaped and other solitons. In the end, the effect of changing the coefficients of nonlinear terms on the dynamical features of W-shaped and other solitons is investigated in detail for diverse groups of the involved parameters.(c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )
Citation Count: Hosseini, K...et al. (2021). "The generalized complex Ginzburg–Landau model and its dark and bright soliton solutions", European Physical Journal Plus, Vol. 136, No. 7.
The generalized complex Ginzburg–Landau model and its dark and bright soliton solutions
(2021) Hosseini, K.; Mirzazadeh, M.; Baleanu, Dumitru; Raza, N.; Park, C.; Ahmadian, A.; Salahshour, S.; 56389
In the present work, the generalized complex Ginzburg–Landau (GCGL) model is considered and its 1-soliton solutions involving different wave structures are retrieved through a series of newly well-organized methods. More exactly, after considering the GCGL model, its 1-soliton solutions are obtained using the exponential and Kudryashov methods in the presence of perturbation effects. As a case study, the effect of various parameter regimes on the dynamics of the dark and bright soliton solutions is analyzed in three- and two-dimensional postures. The validity of all the exact solutions presented in this study has been examined successfully through the use of the symbolic computation system.
Citation Count: Hosseini, K....et.al. (2022). "The generalized Sasa–Satsuma equation and its optical solitons", Optical and Quantum Electronics, Vol.54, No.11.
The generalized Sasa–Satsuma equation and its optical solitons
(2022) Hosseini, K.; Sadri, K.; Salahshour, S.; Baleanu, D.; Mirzazadeh, M.; Inc, Mustafa; 56389
The principal goal of the presented paper is to investigate the dynamics of optical solitons for the generalized Sasa–Satsuma (GSS) equation describing the propagation of the femtosecond pulses in the systems of optical fiber transmission. More precisely, the governing model, which is a generalized version of the classical Sasa–Satsuma equation, is firstly reduced in a one-dimensional real regime through a specific transformation; then, its bright and dark optical solitons are established using the modified Kudryashov (MK) method. The changes in the amplitude of the bright and dark solitons are analyzed as a case study for various classes of free parameters. Considerable changes are observed in the optical solitons amplitude from the results presented in the current study.
Citation Count: Hosseini, K....et.al. (2022). "The geophysical KdV equation: its solitons, complexiton, and conservation laws", GEM - International Journal on Geomathematics, Vol.13, No.1.
The geophysical KdV equation: its solitons, complexiton, and conservation laws
(2022) Hosseini, K.; Akbulut, A.; Baleanu, D.; Salahshour, S.; Mirzazadeh, M.; Akinyemi, L.; 56389
The main goal of the current paper is to analyze the impact of the Coriolis parameter on nonlinear waves by studying the geophysical KdV equation. More precisely, specific transformations are first adopted to derive one-dimensional and operator forms of the governing model. Solitons and complexiton of the geophysical KdV equation are then retrieved with the help of several well-established approaches such as the Kudryashov and Hirota methods. In the end, the new conservation theorem given by Ibragimov is formally employed to extract conservation laws of the governing model. It is shown that by increasing the Coriolis parameter, based on the selected parameter regimes, less time is needed for tending the free surface elevation to zero.
Citation Count: Hosseini, K....et.al. (2022). "The Korteweg-de Vries–Caudrey–Dodd–Gibbon dynamical model: Its conservation laws, solitons, and complexiton", Journal of Ocean Engineering and Science, Vol.9, No.16, pp.1-9.
The Korteweg-de Vries–Caudrey–Dodd–Gibbon dynamical model: Its conservation laws, solitons, and complexiton
(2022) Hosseini, K.; Akbulut, A.; Baleanu, D.; Salahshour, S.; Mirzazadeh, M.; Dehingia, K.; 56389
The main purpose of the present paper is to conduct a detailed and thorough study on the Korteweg-de Vries–Caudrey–Dodd–Gibbon (KdV-CDG) dynamical model. More precisely, after considering the integrable KdV-CDG dynamical model describing certain properties of ocean dynamics, its conservation laws, solitons, and complexiton are respectively derived using the Ibragimov, Kudryashov, and Hirota methods. Several numerical simulations in two and three-dimensional postures are formally given to analyze the effect of nonlinear parameters. It is shown that nonlinear parameters play a key role in the dynamical properties of soliton and complexiton solutions.