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Over the years, ( G ’/ G )–expansion method is employed to generate traveling wave solutions to various wave equations in mathematical physics. In the present paper, the alternative ( G ’/ G )–expansion method has been further modified by introducing the generalized Riccati equation to construct new exact solutions. In order to illustrate the novelty and advantages of this approach, the (1+1)-dimensional Drinfel’d-Sokolov-Wilson (DSW) equation is considered and abundant new exact traveling wave solutions are obtained in a uniform way. These solutions may be imperative and significant for the explanation of some practical physical phenomena. It is shown that the modified alternative ( G ’/ G )–expansion method an efficient and advance mathematical tool for solving nonlinear partial differential equations in mathematical physics.

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The modified alternative (G’/G)-expansion method to nonlinear evolution equation: application to the (1+1)-dimensional Drinfel’d-Sokolov-Wilson equation