Lagrangian Formulation, Conservation Laws, Travelling Wave Solutions: A Generalized Benney-Luke Equation

Sivenathi Oscar Mbusi, Ben Muatjetjeja and Abdullahi Rashid Adem
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Sivenathi Oscar Mbusi: Departement of Mathematical Sciences, North-West University, Private Bag X 2046, Mmabatho 2735, South Africa
Ben Muatjetjeja: Departement of Mathematical Sciences, North-West University, Private Bag X 2046, Mmabatho 2735, South Africa
Abdullahi Rashid Adem: Department of Mathematical Sciences, University of South Africa, Pretoria 0003, South Africa

Mathematics, 2021, vol. 9, issue 13, 1-6

Abstract: The aim of this paper is to find the Noether symmetries of a generalized Benney-Luke equation. Thereafter, we construct the associated conserved vectors. In addition, we search for exact solutions for the generalized Benney-Luke equation through the extended tanh method. A brief observation on equations arising from a Lagrangian density function with high order derivatives of the field variables, is also discussed.

Keywords: Noether symmetries; conservation laws; Benney-Luke equation; extended tanh method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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