Malaysian Journal of Mathematical Sciences, December 2022, Vol. 16, No. 4
Multiple Exp-Function Solutions, Group Invariant Solutions and Conservation Laws of a Generalized (2+1)-dimensional Hirota-Satsuma-Ito Equation
Podile, T. J., Adem, A. R., Mbusi, S. O., and Muatjetjeja, B.
Corresponding Email: ademar@unisa.ac.za
Received date: 26 May 2022
Accepted date: 3 October 2022
Abstract:
Multiple exp-function technique and group analysis is accomplished for a comprehensive (2+1)-dimensional Hirota-Satsuma-Ito equation that appears in many sectors of nonlinear science such as for example in fluid dynamics. Travelling wave solutions are computed and it is displayed that this underlying equation gives kink solutions. The invariant reductions and further closed-form solutions are processed. Conserved currents are developed and their physical ramifications are illustrated.
Keywords: a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation; multiple exp-function solutions; group invariant solutions; conservation laws
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