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Lump and lump-multi-kink solutions in the (3+1)-dimensions

Communications in Nonlinear Science and Numerical Simulation, 2022
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Si-Jia Chen, Xing Lü
openaire   +2 more sources

Newly formed center-controlled rouge wave and lump solutions of a generalized (3+1)-dimensional KdV-BBM equation via symbolic computation approach

Physica Scripta, 2023
In this article, we investigate the generalized (3+1)-dimensional KdV-Benjamin-Bona-Mahony equation governed with constant coefficients. It applies the Painlevé analysis to test the complete integrability of the concerned KdV-BBM equation.
S Kumar, B. Mohan, Raj Kumar
semanticscholar   +1 more source

N-SOLITON, BREATHER, LUMP SOLUTIONS AND DIVERSE TRAVELING WAVE SOLUTIONS OF THE FRACTIONAL (2 + 1)-DIMENSIONAL BOUSSINESQ EQUATION

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
semanticscholar   +1 more source

Dynamic analysis of lump solutions based on the dimensionally reduced generalized Hirota bilinear KP-Boussinesq equation

Modern physics letters B, 2023
In this paper, a [Formula: see text]-dimensional generalized KP-Boussinesq equation is introduced and its associate Hirota bilinear form is also given. Based on finding the positive quadratic function solutions of the associate Hirota bilinear equation ...
Meng-Meng Liu   +4 more
semanticscholar   +1 more source

Lump solution and lump-type solution to a class of mathematical physics equation

Modern Physics Letters B, 2020
Based on the Hirota bilinear form, lump-type and lump solutions to a class of mathematical physics equation are explored. Specific examples are discussed to show the richness of the considered partial differential equation. In addition, a few of the analyses and three-dimensional plots of some explicit solutions are made to show the dynamical features
Yanfang Sun, Jinting Ha, Huiqun Zhang
openaire   +1 more source

On the lump solutions, breather waves, two-wave solutions of (2 + 1)-dimensional Pavlov equation and stability analysis

Modern physics letters B, 2022
Hirota’s bilinear method (HBM) has been successfully applied to the [Formula: see text]-dimensional Pavlov equation to analyze the different wave structures in this paper.
U. Younas   +4 more
semanticscholar   +1 more source

Derivation and simulation of the M-lump solutions to two (2+1)-dimensional nonlinear equations

Physica Scripta, 2021
The N-rational solutions to two (2+1)-dimensional nonlinear evolution equations are constructed by utilizing the long wave limit method. M-lump solutions to the two equations are derived by making some parameters conjugate to each other.
Sijia Chen   +3 more
semanticscholar   +1 more source

Painlevé analysis for a new (3 +1 )-dimensional KP equation: Multiple-soliton and lump solutions

Europhysics letters, 2022
The current work proposes a new (3 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation ((3 + 1)-KPE). We verify the integrability of this equation using the Painlevé analysis (PA). The bilinear formula is applied to the extended KPE to explore multiple-
A. Wazwaz   +3 more
semanticscholar   +1 more source

Lump-soliton, lump-multisoliton and lump-periodic solutions of a generalized hyperelastic rod equation

Modern Physics Letters B, 2021
In this paper, we will obtain lump-soliton solution for (1[Formula: see text]+[Formula: see text]1)-dimensional generalized hyperelastic rod equation, also known as generalized KdV equation by aid of Hirota bilinear method (HBM). We also obtain lump-multisoliton (which is an interaction of lump with one kink or two kink soliton) and lump-periodic ...
S. T. R. Rizvi   +4 more
openaire   +1 more source

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