Dai, Z.D., Liu, Z.J. and Li, D.L. (2008) Exact Periodic Solitary-Wave Solution for KdV Equation. Chinese Physics Letters, 25, 1531-1533. http://dx.doi.org/10.1088/0256-307X/25/5/003
has been cited by the following article:
TITLE: The Periodic Solitary Wave Solutions for the (2 + 1)-Dimensional Fifth-Order KdV Equation
AUTHORS: Xianghua Meng
KEYWORDS: (2 + 1)-Dimensional Fifth-Order KdV Equation, Periodic Solitary Wave Solutions, Hirota Bilinear Form
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.7, June 20, 2014
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.