Soliton solutions for some nonlinear models in mathematical physics via conservation laws

F. A. Mohammed; F. A. Mohammed

doi:10.3934/math.2022826

AIMS Mathematics

2022, Volume 7, Issue 8: 15075-15093. doi: 10.3934/math.2022826

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Soliton solutions for some nonlinear models in mathematical physics via conservation laws

F. A. Mohammed ^{1,2
,
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1.
Department of Mathematics, College of Science and Arts, Jouf university, Al-Gurayat, Kingdom of Saudi Arabia
2.
Department of Mathematics, Faculty of Sciences, South Valley university, Qena, Egypt

Received: 06 April 2022 Revised: 18 May 2022 Accepted: 22 May 2022 Published: 15 June 2022
MSC : 70S10, 35Q53, 76M60

In this paper, we derive the soliton solutions from conserved quantities for the Benjamin-Bona-Mahoney equation with dual-power law nonlinearity (BBM), modified regularized long wave (MRLW) equation, modified nonlinearly dispersive KdV equations 2K(2, 2, 1) and 3K(3, 2, 2) equation, which are constructed by the multiplier approach (variational derivative method). Finally, we give the numerical simulations to illustrate this method.
Citation: F. A. Mohammed. Soliton solutions for some nonlinear models in mathematical physics via conservation laws[J]. AIMS Mathematics, 2022, 7(8): 15075-15093. doi: 10.3934/math.2022826

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Abstract

In this paper, we derive the soliton solutions from conserved quantities for the Benjamin-Bona-Mahoney equation with dual-power law nonlinearity (BBM), modified regularized long wave (MRLW) equation, modified nonlinearly dispersive KdV equations 2K(2, 2, 1) and 3K(3, 2, 2) equation, which are constructed by the multiplier approach (variational derivative method). Finally, we give the numerical simulations to illustrate this method.

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