Lagrangian Formulation, Conservation Laws, Travelling Wave Solutions: A Generalized Benney-Luke Equation
| Autor: | Ben Muatjetjeja, Sivenathi Oscar Mbusi, Abdullahi Rashid Adem |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
extended tanh method
Field (physics) Benney-Luke equation General Mathematics Probability density function 01 natural sciences symbols.namesake 0103 physical sciences Computer Science (miscellaneous) Traveling wave QA1-939 Applied mathematics 010306 general physics 010301 acoustics Engineering (miscellaneous) Mathematics Conservation law Noether symmetries Hyperbolic function Nonlinear Sciences::Exactly Solvable and Integrable Systems Homogeneous space symbols Noether's theorem conservation laws Lagrangian |
| Zdroj: | Mathematics, Vol 9, Iss 1480, p 1480 (2021) Mathematics Volume 9 Issue 13 |
| ISSN: | 2227-7390 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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