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Browsing by Author "Hosseini, K."

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A detailed study on a new (2+1)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative

Hosseini, K.; Ilie, M.; Mirzazade, M.; Baleanu, Dumitru (2020-07-06)

The present article aims to present a comprehensive study on a nonlinear time-fractional model involving the Caputo-Fabrizio (CF) derivative. More explicitly, a new (2+1)-dimensional mKdV (2D-mKdV) equation involving the ...
A new generalized KdV equation: Its lump-type, complexiton and soliton solutions

Hosseini, K.; Salahshour, S.; Baleanu, D.; Mirzazadeh, M.; Dehingia, K. (2022-12-20)

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 ...
Bäcklund Transformation, Complexiton, and Solitons of a (4 + 1)-dimensional Nonlinear Evolutionary Equation

Hosseini, K.; Salahshour, S.; Baleanu, D.; Mirzazadeh, M. (2022-12)

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 ...
Double-wave solutions and Lie symmetry analysis to the (2+1)-dimensional coupled Burgers equations

Osman, M. S.; Baleanu, Dumitru; Adem, A. R.; Hosseini, K.; Mirzazadeh, M.; Eslami, M. (2020-02)

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 ...
Effect of ion and negative ion temperatures on KdV and mKdV solitons in a multicomponent plasma

Madhukalya, B.; Das, R.; Hosseini, K.; Baleanu, D.; Hıncal, E. (2023-05)

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′(=mj/mi=negativetopositiveionmassratio) less and greater ...
Further studies on ordinary differential equations involving the M-fractional derivative

Khoshkenar, A.; Ilie, M.; Hosseini, K.; Baleanu, D.; Salahshour, S.; Park, C.; Lee, J.R. (2022)

In the current paper, the power series based on the M-fractional derivative is formally introduced. More peciesely, the Taylor and Maclaurin expansions are generalized for fractional-order differentiable functions in ...
Multi-complexiton and positive multi-complexiton structures to a generalized B-type Kadomtsev−Petviashvili equation

Hosseini, K.; Baleanu, D.; Rezapour, S.; Salahshour, S.; Mirzazadeh, M.; Samavat, M. (2022)

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 ...
Multiwave, multicomplexiton, and positive multicomplexiton solutions to a (3 + 1)-dimensional generalized breaking soliton equation

Hosseini, K.; Seadawy, Aly R.; Mirzazadeh, M.; Eslami, M.; Radmehr, S.; Baleanu, Dumitru (2020-10)

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 + ...
Non-singular multi-complexiton wave to a generalized KdV equation

Hosseini, K.; Hıncal, E.; Baleanu, D.; Obi, O.A.; Salahshour, S. (2023-04)

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 ...
Optical solitons of a high-order nonlinear Schrödinger equation involving nonlinear dispersions and Kerr effect

Hosseini, K.; Mirzazadeh, M.; Baleanu, D.; Salahshour, S.; Akinyemi, L. (2022-03)

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 ...
Optical solitons to the Ginzburg–Landau equation including the parabolic nonlinearity

Hosseini, K.; Mirzazadeh, M.; Akinyemi, L.; Baleanu, D.; Salahshour, S. (2022-10)

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 ...
Periodic and solitary waves of the nonlinear Konno–Oono model: generalized methods

Hosseini, K.; Sadri, K.; Hıncal, E.; Abbasi, A.; Baleanu, D.; Salahshour, S. (2023-06)

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 ...
Small amplitude ion-acoustic solitary waves in a magnetized ion-beam plasma under the effect of ion and beam temperatures

Madhukalya, B.; Das, R.; Hosseini, K.; Baleanu, D.; Salahshour, S. (2023-04)

In the present research of magnetized plasmas, both rarefactive and compressive solitons are found to exist, based on the values of certain parameters. It has been shown in the present investigation that inclusion of beam ...
Soliton structures of a nonlinear Schrödinger equation involving the parabolic law

Salahshour, S.; Hosseini, K.; Mirzazadeh, M.; Baleanu, Dumitru (2021-12)

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 ...
Solitons in magnetized plasma with electron inertia under weakly relativistic effect

Kalita, J.; Das, R.; Hosseini, K.; Baleanu, Dumitru; Salahshour, S. (2023-02)

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 ...
Solitons in magnetized plasma with electron inertia under weakly relativistic effect

Kalita, J.; Das, R.; Hosseini, K.; Baleanu, D.; Salahshour, S. (2023-02)

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 ...
Specific wave structures of a fifth-order nonlinear water wave equation

Hosseini, K.; Mirzazadeh, M.; Salahshour, S.; Baleanu, Dumitru; Zafar, A. (2022-10)

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 ...
The generalized complex Ginzburg–Landau model and its dark and bright soliton solutions

Hosseini, K.; Mirzazadeh, M.; Baleanu, Dumitru; Raza, N.; Park, C.; Ahmadian, A.; Salahshour, S. (2021-07)

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 ...
The generalized Sasa–Satsuma equation and its optical solitons

Hosseini, K.; Sadri, K.; Salahshour, S.; Baleanu, D.; Mirzazadeh, M.; Inc, Mustafa (2022-11)

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 ...
The geophysical KdV equation: its solitons, complexiton, and conservation laws

Hosseini, K.; Akbulut, A.; Baleanu, D.; Salahshour, S.; Mirzazadeh, M.; Akinyemi, L. (2022-12)

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 ...

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