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Start Over Author "Kumar, Sachin" Search Limiters Peer Reviewed Topic exact solutions Journal mathematical modelling & analysis

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1. Generalised Two-Component Modified Weakly Dissipative Dullin-Gottwald-Holm System: Invariance Analysis and Conservation Laws.

Author

Kumar, Sachin and Jyoti, Divya

Subjects
*FOURIER series, *WATER waves, *TRIGONOMETRIC functions, *CONSERVATION laws (Physics), *WATER depth, *CONSERVATION laws (Mathematics), *POWER series
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. [ABSTRACT FROM AUTHOR]

Published
2022
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