Abstract
This paper applied both the tanh and the He's variational iteration methods for analytic study for the nonlinear coupled Kortewge-de Vries (shortly, KdV) equations. Compared with existing sophisticated approaches, the proposed methods gives more general exact traveling wave solutions without much extra effort. Finally, we present an application to shallow water equations using the two methods, the calculations demonstrate the effectiveness and convenience of the He's variational method for nonlinear coupled equations.
Original language | English |
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Pages (from-to) | 233-242 |
Number of pages | 10 |
Journal | Applied Mathematics and Computation |
Volume | 202 |
Issue number | 1 |
DOIs | |
Publication status | Published - Aug 1 2008 |
Keywords
- Coupled KdV equations
- Shallow water equations
- Traveling wave solutions
- Variational iteration method
- tanh method
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics