The Periodic Solitary Wave Solutions for the (2 + 1)-Dimensional Fifth-Order KdV Equation

Xianghua Meng

School of Applied Science, Beijing Information Science and Technology University, Beijing, China.

DOI: 10.4236/jamp.2014.27070                

Abstract

The (2 + 1)-dimensional fifth-order KdV equation is an important higher-dimensional and higher-order extension of the famous KdV equation in fluid dynamics. In this paper, by constructing new test functions, we investigate the periodic solitary wave solutions for the (2 + 1)-dimensional fifth-order KdV equation by virtue of the Hirota bilinear form. Several novel analytic solutions for such a model are obtained and verified with the help of symbolic computation.

Keywords

(2 + 1)-Dimensional Fifth-Order KdV Equation, Periodic Solitary Wave Solutions, Hirota Bilinear Form

Conflicts of Interest

The authors declare no conflicts of interest.

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