Trivial conservation laws and solitary wave solution of the fifth order Lax equation

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Akbulut A., TAŞCAN F., Özel E.

Partial Differential Equations in Applied Mathematics, vol.4, 2021 (Scopus)

• Publication Type: Article / Article
• Volume: 4
• Publication Date: 2021
• Doi Number: 10.1016/j.padiff.2021.100101
• Journal Name: Partial Differential Equations in Applied Mathematics
• Journal Indexes: Scopus
• Keywords: Conservation law, Exact solution, Extended sinh–Gordon​ equation expansion method, Lax equation, Symbolic computation
• Bursa Uludag University Affiliated: No

Abstract

© 2021 The AuthorsThe current study deals with the conservation laws and exact solutions of the Lax equation, which is a special case of the fifth-order KdV equation. The trivial conservation laws obtained by using conservation theorem. In addition, the exact solutions are found with the help of the extended sinh–Gordon expansion method (esGEM). For a suitable value of the solutions the 3D surfaces have been plotted by Maple.