Preprint Article Version 1 This version is not peer-reviewed

Conservation Laws and Travelling Wave Solutions for Double Dispersion Equations in (1+1) and (2+1) Dimensions

Version 1 : Received: 31 January 2020 / Approved: 3 February 2020 / Online: 3 February 2020 (05:15:57 CET)

A peer-reviewed article of this Preprint also exists.

Gandarias, M.L.; Durán, M.R.; Khalique, C.M. Conservation Laws and Travelling Wave Solutions for Double Dispersion Equations in (1+1) and (2+1) Dimensions. Symmetry 2020, 12, 950. Gandarias, M.L.; Durán, M.R.; Khalique, C.M. Conservation Laws and Travelling Wave Solutions for Double Dispersion Equations in (1+1) and (2+1) Dimensions. Symmetry 2020, 12, 950.

Journal reference: Symmetry 2020, 12, 950
DOI: 10.3390/sym12060950

Abstract

In this article, we investigate two types of double dispersion equations in two di erent dimensions. Double dispersion equation were derived to describe long nonlinear wave evolution in a thin hyperelastic rod. Conservation laws are obtained for these equations by the application of the multiplier method. Finally, travelling waves and line travelling waves are respectively considered for these two equations.

Subject Areas

conservation laws; Lie symmetries; exact solutions

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