학술논문
Invariance analysis, optimal system and conservation laws of (2+1)-dimensional non-linear Vakhnenko equation.
Document Type
Article
Author
Source
Subject
*CONSERVATION laws (Mathematics)
*NONLINEAR equations
*CONSERVATION laws (Physics)
*SIMILARITY transformations
*MATHEMATICAL analysis
*ORDINARY differential equations
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Language
ISSN
0304-4289
Abstract
In this article, we study a (2 + 1) -dimensional non-linear Vakhnenko equation which appears in a relaxing high rate active barothropic medium. The Lie symmetry analysis is applied to study the solution of (2 + 1) -dimensional Vakhnenko equation and also used to find the optimal system of one-dimensional Lie subalgebra. The two-dimensional non-linear Vakhnenko equation is reduced to various ordinary differential equations by applying similarity transformation method, and solving these reduced ordinary differential equations, we find invariant solutions of (2 + 1) -dimensional Vakhnenko equation. Moreover, the adjoint equation of the Vakhnenko equation and its conservation laws are also obtained, which can be used for mathematical analysis. [ABSTRACT FROM AUTHOR]