Lagrangian Formulation, Conservation Laws, Travelling Wave Solutions: A Generalized Benney-Luke Equation
Sivenathi Oscar Mbusi, B. Muatjetjeja, Abdullahi Rashid Adem
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.
Topics & Concepts
Noether's theoremConservation lawConserved quantityLagrangianHomogeneous spaceMathematical physicsMathematicsApplied mathematicsFunction (biology)Mathematical analysisClassical mechanicsPhysicsGeometryBiologyEvolutionary biologyNonlinear Waves and SolitonsNonlinear Photonic SystemsQuantum chaos and dynamical systems