Conservation laws and solutions for a nonlinear deformed equation with variable coefficients

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URI: http://hdl.handle.net/10498/27567

DOI: 10.1016/j.padiff.2022.100380

ISSN: 2666-8181

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Author/s
Gandarias Núñez, María LuzAuthority UCA; Khalique, Chaudry Masood
Date
2022-06
Department
Matemáticas
Source
Partial Differential Equations in Applied Mathematics, Vol. 5
Abstract
This paper studies the third-order nonlinear deformed equation with variable coefficients, which is a generalization of CH, DP and DGH equations. Firstly, we investigate its conservation laws for different values of the three variable coefficients in the equation. Thereafter, we find principal Lie algebra of the equation and then find the coefficients that extends the principal Lie algebra. Finally, we present one symmetry reduction case. © 2022 The Author(s)
Subjects
Nonlinear deformed equation; Principal Lie algebra; Lie symmetries; Conservation laws
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional