Symmetry Reduction and Explicit Solutions of the (2 + 1)-Dimensional DLW Equation

Yuanming  Chen; Zhengyi  Ma; Jinxi  Fei

doi:10.4236/am.2014.520304

Zhengyi Ma^1,2, Jinxi Fei¹, Yuanming Chen¹

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.

Keywords: Dispersive Long Wave Equation, Symmetry Reduction, Explicit Solution, Soliton Excitation

Cite this paper: Ma, Z. , Fei, J. and Chen, Y. (2014) Symmetry Reduction and Explicit Solutions of the (2 + 1)-Dimensional DLW Equation. Applied Mathematics, 5, 3264-3269. doi: 10.4236/am.2014.520304.

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