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Browsing by Author "Mirzazadeh, M."

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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 ...
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 + ...
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 ...
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 ...
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 ...
The Korteweg-de Vries–Caudrey–Dodd–Gibbon dynamical model: Its conservation laws, solitons, and complexiton

Hosseini, K.; Akbulut, A.; Baleanu, D.; Salahshour, S.; Mirzazadeh, M.; Dehingia, K. (2022)

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 ...

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