GENERALISED TWO-COMPONENT MODIFIED WEAKLY DISSIPATIVE DULLIN-GOTTWALD-HOLM SYSTEM: INVARIANCE ANALYSIS AND CONSERVATION LAWS

Author:

Kumar Sachin1ORCID,Jyoti Divya1ORCID

Affiliation:

1. Department of Mathematics and Statistics, School of Basic Sciences, Central University of Punjab, Bathinda, Punjab, 151401 India

Abstract

The Dullin-Gottwald-Holm equation models the unidirectional propagation of shallow regime water waves. In this work, the Lie symmetry analysis of the generalised two-component modified weakly dissipative Dullin-Gottwald-Holm system is performed. Using symmetry reduction, the exact solutions are obtained in the form of power series and trigonometric functions. Also using multiplier approach, the conservation laws are obtained. The 3D graphical representations are also shown for obtained solutions.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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