Abstract
In this paper a few coupled wave equations that arise in the dynamics of two-layered shallow water waves in ocean shores and beaches have been studied. The mapping method is applied to extract cnoidal waves and solitary wave solutions to the coupled Korteweg-de Vries (KdV) equation, coupled Boussinesq equation and the coupled Whitham-Broer-Kaup equation. The ansatz method is also applied to obtain topological 1-solution to the coupled KdV equation with power law nonlinearity. The multiplier method then gives a few conserved quantities of the coupled KdV equation.
Original language | English |
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Pages (from-to) | 1233-1241 |
Number of pages | 9 |
Journal | Indian Journal of Physics |
Volume | 87 |
Issue number | 12 |
DOIs | |
Publication status | Published - Dec 2013 |
Keywords
- Boussinesq equation
- Jacobi elliptic functions
- Korteweg-de Vries equation
- Soliton solutions
- Travelling wave solutions
ASJC Scopus subject areas
- General Physics and Astronomy