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.