Exact travelling solutions for some nonlinear physical models by (e??oa€2/e??o)-expansion method

摘要

In this paper, we establish exact solutions for some special nonlinear partial differential equations. The (e??oa€2/e??o)-expansion method is used to construct travelling wave solutions of the twodimensional sine-Gordon equation, Dodda€“Bullougha€“Mikhailov and Schr??dingera€“KdV equations, which appear in many ???elds such as, solid-state physics, nonlinear optics, ???uid dynamics, ???uid ???ow, quantum ???eld theory, electromagnetic waves and so on. In this method we take the advantage of general solutions of second-order linear ordinary differential equation (LODE) to solve many nonlinear evolution equations effectively. The (e??oa€2/e??o)-expansion method is direct, concise and elementary and can be used with a wider applicability for handling many nonlinear wave equations.