Mathematics (Jun 2021)

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

  • Sivenathi Oscar Mbusi,
  • Ben Muatjetjeja,
  • Abdullahi Rashid Adem

DOI
https://doi.org/10.3390/math9131480
Journal volume & issue
Vol. 9, no. 13
p. 1480

Abstract

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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