Travelling wave solutions of some classes of nonlinear evolution equations in (1+1) and higher dimensions Original Research Article

The tanh method is used to find travelling wave solutions to various wave equations. In particular, it is extended to solve a coupled set of (1+1) dimensional Korteweg–de Vries type of equations, (3+1) dimensional Korteweg–de Vries like equation and Liouville’s equation. Also the stability of those solutions is investigated.