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Physics Letters A, 2023
The authors present a comprehensive study on a \((3+1)\)-dimensional nonlinear Geng equation, a subject of considerable interest in the field of mathematical physics. Utilizing the Hirota bilinear method, the authors delve into the calculation of first- to fourth-order solutions of the equation, thereby contributing significantly to the existing body ...
Li, Bang-Qing, Ma, Yu-Lan
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The authors present a comprehensive study on a \((3+1)\)-dimensional nonlinear Geng equation, a subject of considerable interest in the field of mathematical physics. Utilizing the Hirota bilinear method, the authors delve into the calculation of first- to fourth-order solutions of the equation, thereby contributing significantly to the existing body ...
Li, Bang-Qing, Ma, Yu-Lan
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, 2021
In this paper, the investigation is conducted on a (2 + 1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation for an incompressible fluid. Via the Riemann theta function, periodic-wave solutions are derived, and breather-wave solutions are ...
Yuan Shen +4 more
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In this paper, the investigation is conducted on a (2 + 1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation for an incompressible fluid. Via the Riemann theta function, periodic-wave solutions are derived, and breather-wave solutions are ...
Yuan Shen +4 more
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, 2021
This paper investigates some novel exact analytical solutions, including lump-type wave, breather wave as well as BK-type wave solutions for a (3+1)-dimensional p ¯ -gKP equation.
Litao Gai, Ming-Chu Li
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This paper investigates some novel exact analytical solutions, including lump-type wave, breather wave as well as BK-type wave solutions for a (3+1)-dimensional p ¯ -gKP equation.
Litao Gai, Ming-Chu Li
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, 2020
In this paper, the investigation is made on a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation.
Shao-Hua Liu +5 more
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In this paper, the investigation is made on a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation.
Shao-Hua Liu +5 more
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BIFURCATIONS OF TRAVELING WAVE AND BREATHER SOLUTIONS OF A GENERAL CLASS OF NONLINEAR WAVE EQUATIONS
International Journal of Bifurcation and Chaos, 2005Bifurcations of a general class of traveling wave solutions are analyzed. In particular, the existence of solitary wave, kink and anti-kink wave solutions, and uncountably infinite periodic wave solutions and breather solutions of a general class of traveling wave equations is proved. Also, the existence of breaking wave solution is discussed in detail.
Jibin Li 0001, Guanrong Chen
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Mathematical methods in the applied sciences, 2019
Herein, the Kadomtsev‐Petviashvili equation with variable coefficients is investigated, which describes the long waves with small amplitude and slow dependence on the transverse coordinate in a single‐layer shallow fluid.
Jian‐Guo Liu, Wen-Hui Zhu, Li Zhou
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Herein, the Kadomtsev‐Petviashvili equation with variable coefficients is investigated, which describes the long waves with small amplitude and slow dependence on the transverse coordinate in a single‐layer shallow fluid.
Jian‐Guo Liu, Wen-Hui Zhu, Li Zhou
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International Journal of Numerical Methods for Heat & Fluid Flow, 2023
Purpose The purpose of this paper is to study the new (3 + 1)-dimensional integrable fourth-order nonlinear equation which is used to model the shallow water waves.
Kangkang Wang
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Purpose The purpose of this paper is to study the new (3 + 1)-dimensional integrable fourth-order nonlinear equation which is used to model the shallow water waves.
Kangkang Wang
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Fractals, 2023
The [Formula: see text]-dimensional Boussinesq equation plays a key role in modeling the shallow water. In this work, we derive a new fractional [Formula: see text]-dimensional Boussinesq equation based on the conformable fractional derivative for the ...
Kangkang Wang +4 more
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The [Formula: see text]-dimensional Boussinesq equation plays a key role in modeling the shallow water. In this work, we derive a new fractional [Formula: see text]-dimensional Boussinesq equation based on the conformable fractional derivative for the ...
Kangkang Wang +4 more
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Multi-wave, breather wave, and interaction solutions of the Hirota–Satsuma–Ito equation
The European Physical Journal Plus, 2020Under investigation is a (2+1)-dimensional generalized Hirota–Satsuma–Ito (gHSI) equation. Multi-wave solutions are presented using the three-wave method. Breather wave solutions are derived based on the homoclinic breather approach. Interaction solutions between lump and two solitary wave solutions are constructed via Hirota direct method.
Jian-Guo Liu, Wen-Hui Zhu, Li Zhou
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Rogue-wave and breather solutions of the Fokas–Lenells equation on theta-function backgrounds
Applied Mathematics Letters, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruomeng Li, Jingru Geng, Xianguo Geng
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