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

Symmetry Reduction and Explicit Solutions of the (2 + 1)-Dimensional DLW Equation
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摘要 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. 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.
出处 《Applied Mathematics》 2014年第20期3264-3269,共6页 应用数学(英文)
关键词 DISPERSIVE Long Wave EQUATION SYMMETRY Reduction EXPLICIT Solution SOLITON Excitation Dispersive Long Wave Equation Symmetry Reduction Explicit Solution Soliton Excitation
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