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Nonautonomous lump solutions for a variable–coefficient Kadomtsev–Petviashvili equation
Applied Mathematics Letters, 2021Yun-Hu Wang
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Lump and lump-multi-kink solutions in the (3+1)-dimensions
Communications in Nonlinear Science and Numerical Simulation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Si-Jia Chen, Xing Lü
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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
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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
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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
semanticscholar +1 more source
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
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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
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Lump solution and lump-type solution to a class of mathematical physics equation
Modern Physics Letters B, 2020Based 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
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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
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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
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Derivation and simulation of the M-lump solutions to two (2+1)-dimensional nonlinear equations
Physica Scripta, 2021The 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
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Painlevé analysis for a new (3 +1 )-dimensional KP equation: Multiple-soliton and lump solutions
Europhysics letters, 2022The 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
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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
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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

