Hirota and traveling solutions of a (2+1)-dimensional nonlinear equation
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In this paper we consider a (2+1) dimensional nonlinear equation (DNLEE). Painlevé Analysis of WTC method is performed for this equation. It is shown that the equation has Painlevé property [1]. The truncated Painlevé expansion and homogeneous balance method are described and applied to obtain traveling wave solutions of the DNLEE. Finally, new exact solutions of the DNLEE are found.
Abstract
In this paper we consider a (2+1) dimensional nonlinear equation (DNLEE). Painlevé Analysis of WTC method is performed for this equation. It is shown that the equation has Painlevé property [1]. The truncated Painlevé expansion and homogeneous balance method are described and applied to obtain traveling wave solutions of the DNLEE. Finally, new exact solutions of the DNLEE are found.