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Explicit travelling wave solutions to the time fractional Phi-four equation and their applications in mathematical physics. [PDF]

Sci Rep
Farooq A, Shafique T, Abbas M, Birhanu A, Hamed YS.   +4 more
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New lump solutions to a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation

Applied Mathematics Letters, 2023
The aim of this paper is to show the existence of three-wave lump solutions to a (3+1)-dimensional generalized CBS (gCBS) equation. Based on the Hirota method, the quadratic functions of the form f = f 21 + f 22 + f 23 + d with nondegenerate condition ...
Yuan Zhou, Wen-Xiu Ma
exaly   +2 more sources

Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions

International Journal of Numerical Methods for Heat and Fluid Flow, 2022
Purpose This study aims to introduce a variety of integrable Boussinesq equations with distinct dimensions. Design/methodology/approach The author formally uses the simplified Hirota’s method and lump schemes for exploring lump solutions, which are ...
Abdul-Majid Wazwaz
exaly   +2 more sources

Lump solutions to the Kadomtsev–Petviashvili equation

Physics Letters A, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
W. Ma
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Lump solutions and interaction solutions for (2 + 1)-dimensional KPI equation

Frontiers of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Yanfeng, Dai, Zhengde, Guo, Chunxiao   +2 more
openaire   +2 more sources

Multi-lump solutions of KPI

Nonlinear Dynamics, 2023
S. Chakravarty
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Integrable (3+1)-dimensional Ito equation: variety of lump solutions and multiple-soliton solutions

Nonlinear Dynamics, 2022
Abdul-Majid Wazwaz, Wazwaz Abdul-Majid
exaly   +2 more sources

Study on dynamical behavior of multiple lump solutions and interaction between solitons and lump wave

Nonlinear Dynamics, 2021
Jian-Guo Liu
exaly   +2 more sources

Lump solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation

Computers & Mathematics with Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shou-Ting Chen, Wen-Xiu Ma
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Dynamic behaviors of the lump solutions and mixed solutions to a (2+1)-dimensional nonlinear model

Communications in Theoretical Physics, 2023
In this paper, we propose a combined form of the bilinear Kadomtsev–Petviashvili equation and the bilinear extended (2+1)-dimensional shallow water wave equation, which is linked with a novel (2+1)-dimensional nonlinear model. This model might be applied
Sijia Chen, Xing Lü, Yu-Hang Yin
semanticscholar   +1 more source