TITLE:
Symmetry Reduction and Explicit Solutions of the (2 + 1)-Dimensional DLW Equation
AUTHORS:
Zhengyi Ma, Jinxi Fei, Yuanming Chen
KEYWORDS:
Dispersive Long Wave Equation, Symmetry Reduction, Explicit Solution, Soliton Excitation
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.20,
November
20,
2014
ABSTRACT: Utilizing the Clarkson-Kruskal direct method, the symmetry of the (2 + 1)-dimensional dispersive long wave equation is derived. From which, through solving the characteristic equations, four types of the explicit reduction solutions that related the hyperbolic tangent function are obtained. Finally, several soliton excitations are depicted from one of the solutions.