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Symmetry Reduction and Explicit Solutions of the (2 + 1)-Dimensional DLW Equation
Department of Mathematics, Zhejiang Lishui University, Lishui, China
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, China
Department of Mathematics, Zhejiang Lishui University, Lishui, China
- 1 Department of Mathematics, Zhejiang Lishui University, Lishui, China
- 2 Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, China
- 3 Department of Mathematics, Zhejiang Lishui University, Lishui, China
Applied Mathematics·Volume 05 (2014)·Pages 3264–3269·Published 20 November 2014·DOI10.4236/am.2014.520304
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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.
KeywordsDispersive Long Wave EquationSymmetry ReductionExplicit SolutionSoliton Excitation
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