Abstract
We established -expansion method for (2+1)-dimensional nonlinear evolution equations. This method was used to construct travelling wave solutions of (2+1)-dimensional nonlinear evolution equations. (2+1)-Dimensional breaking soliton equation, (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation, and (2+1)-dimensional Bogoyavlenskii’s Breaking soliton equation are chosen to illustrate the effectiveness of the method.
Highlights
By using the (G/G)-expansion method, we obtained some explicit formulas of solutions for the generalized (2+1)-dimensional nonlinear evolution equations
Al-Joudi, “Applications of an Improved (G/G)-expansion method to nonlinear PDEs in mathematical physics,” AIP Conference Proceedings, vol 1168, no. 1, pp. 371– 376, 2009
Summary
We established (G/G)-expansion method for (2+1)-dimensional nonlinear evolution equations. This method was used to construct travelling wave solutions of (2+1)-dimensional nonlinear evolution equations. We will study the generalized (2+1)-dimensional nonlinear evolution equations uxt + auxuxy + buxxuy + uxxxy = 0, (1) The (2+1)-dimensional Bogoyavlenskii’s Breaking soliton equation for which a = 4 and b = 4, [3]: uxt + 4uxuxy + 4uxxuy + uxxxy = 0.
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