Abstract
In this article, we construct new exact traveling wave solutions of some nonlinear evolution equations in mathematical physics with the aid of the modified alternative –expansion method. The nonlinear equations under investigation include, the (1+1)-dimensional Drinfeld-Sokolov-Wilson (DSW) equation, the travelling regularised long wave (TRLW) equation, the Caudrey-Dodd-Gibbon (CDG) equation and the (2+1)-dimensional Nizhnik-Novikov-Vesselov (NNV) equation. In the alternative –expansion method, satisfies the Riccati equation where and are arbitrary constants. The obtained solutions are expressed in terms of hyperbolic function, trigonometric function and rational functions. Key words: The -expansion method, the Riccati equation, the traveling wave solutions, the Drinfeld-Sokolov-Wilson equation, the travelling regularised long wave equation, the Caudrey-Dodd-Gibbon equation, the Nizhnik-Novikov-Vesselov equation.
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