WoS İndeksli Yayınlar Koleksiyonu

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Author: search.filters.author.Baleanu, D.Publisher: search.filters.publisher.Springer

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Now showing 1 - 10 of 24
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Fractional Systems With Multi-Parameters Fractional Derivatives
    (Springer, 2025) Muslih, S.I.; Agrawal, O.P.; Baleanu, D.
    Recently, a generalization of fractional variational formulations in terms of multiparameter fractional derivatives was introduced by Agrawal and Muslih. This treatment can be used to obtain the Lagrangian and Hamiltonian equations of motion. In this paper, we also extend our work to introduce the generalization of the formulation for constrained mechanical systems containing multi-parameter fractional derivatives. Three examples for regular and constrained fractional systems are analyzed. © The Author(s) 2025.
  • Article
    Citation - WoS: 23
    Citation - Scopus: 23
    The Generalized Sasa-Satsuma Equation and Its Optical Solitons
    (Springer, 2022) Hosseini, K.; Sadri, K.; Salahshour, S.; Baleanu, D.; Mirzazadeh, M.; Inc, Mustafa
    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.
  • Article
    Citation - WoS: 12
    Citation - Scopus: 13
    Optical Solitons To the Ginzburg-Landau Equation Including the Parabolic Nonlinearity
    (Springer, 2022) Hosseini, K.; Mirzazadeh, M.; Akinyemi, L.; Baleanu, D.; Salahshour, S.
    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.
  • Article
    Citation - WoS: 51
    Citation - Scopus: 56
    Optical Solitons of a High-Order Nonlinear Schrodinger Equation Involving Nonlinear Dispersions and Kerr Effect
    (Springer, 2022) Baleanu, D.; Salahshour, S.; Akinyemi, L.; Hosseini, K.; Mirzazadeh, M.
    The main aim of this paper is to conduct a detailed study on a high-order nonlinear Schrodinger (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.
  • Article
    Citation - WoS: 21
    Citation - Scopus: 25
    The (K, S)-Fractional Calculus of K-Mittag Function
    (Springer, 2017) Nisar, K. S.; Rahman, G.; Baleanu, D.; Mubeen, S.; Arshad, M.
    In this paper, we introduce the (k, s)-fractional integral and differential operators involving k-Mittag-Leffler function E-k,rho,beta(delta) (z) as its kernel. Also, we establish various properties of these operators. Further, we consider a number of certain consequences of the main results.
  • Article
    Citation - WoS: 29
    Citation - Scopus: 32
    Solitons in Magnetized Plasma With Electron Inertia Under Weakly Relativistic Effect
    (Springer, 2023) Das, R.; Hosseini, K.; Baleanu, D.; Salahshour, S.; Kalita, J.
    In this relativistic consideration, the energy integral unlike others has been derived in a weakly relativistic plasma in terms of Sagdeev potential. Both compressive and rarefactive subsonic solitary waves are found to exist, depending on wave speeds in various directions of propagation. It is found that compressive relativistic solitons have potential depths that are higher than non-relativistic solitons in all directions of propagation, allowing for the presence of denser plasma particles in the potential well. Furthermore, it shows how compressive soliton amplitude grows as the propagation direction gets closer to the magnetic field's direction.
  • Article
    Citation - WoS: 21
    Citation - Scopus: 26
    Periodic and Solitary Waves of the Nonlinear Konno-Oono Model: Generalized Methods
    (Springer, 2023) Hosseini, K.; Sadri, K.; Hincal, E.; Abbasi, A.; Baleanu, D.; Salahshour, S.
    There has been considerable academic interest in the study of nonlinear dynamical models and their exact traveling waves over the past few years. The main aim of the present paper is to consider a nonlinear dynamical model known as the nonlinear Konno-Oono model and derive its exact traveling waves. Specifically, after applying a universal transformation, periodic and solitary waves of the governing model with applications in the electromagnetic field are derived using generalized methods. Through the consideration of two- and three-dimensional simulations, several case studies are considered to represent the dynamical behavior of soliton solutions.
  • Article
    Citation - WoS: 39
    Citation - Scopus: 42
    Non-Singular Multi-Complexiton Wave To a Generalized Kdv Equation
    (Springer, 2023) Hosseini, K.; Hincal, E.; Baleanu, D.; Obi, O. A.; Salahshour, S.
    The major goal of the current paper is to conduct a detailed study on a generalized KdV equation (gKdVE) and its non-singular multi-complexiton wave. More precisely, first the multi-shock wave of the governing model is retrieved using the principle of linear superposition. Based on the multi-shock wave and the techniques adopted by Zhou and Manukure, the non-singular multi-complexiton wave to the gKdVE is then constructed with the help of symbolic computations. The dynamical properties of single and double shock waves as well as non-singular single and double complexiton waves are analyzed by representing a group of 3D-plots. The achievements of the present paper take an important step in completing the research on the generalized KdV equation.
  • Article
    Citation - WoS: 29
    Citation - Scopus: 32
    Effect of Ion and Negative Ion Temperatures on Kdv and Mkdv Solitons in a Multicomponent Plasma
    (Springer, 2023) Madhukalya, B.; Das, R.; Hosseini, K.; Baleanu, D.; Hincal, E.
    The formation of ion-acoustic solitons (IASs) in an unmagnetized plasma with negative ions has been investigated through the KdV equation in both the situations Q'( = m(j)=m(i)= negative to positive ion mass ratio) less and greater than one and the mKdV equation only for Q' > 1. The existence of both KdV and mKdV solitons has been established for alpha (= ion to electron temperature ratio) > beta (= negative ion to electron temperature ratio) and alpha < beta, which is the new outcome of the current investi-gation. Furthermore, the existence of both compres-sive and rarefactive solitons for Q' > 1 and Q'< 1 has been demonstrated. A dispersion capable action. and
  • Article
    Citation - WoS: 13
    Citation - Scopus: 13
    Soliton Structures of a Nonlinear Schrodinger Equation Involving the Parabolic Law
    (Springer, 2021) Hosseini, K.; Mirzazadeh, M.; Baleanu, D.; Salahshour, S.
    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 Schrodinger (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.