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Clarkson, P.A. and Mansfield, E.L. (1994) Algorithms for the Nonclassical Method of Symmetry Reductions. SIAM Journal on Applied Mathematics, 54, 1693-1719.
http://dx.doi.org/10.1137/S0036139993251846

has been cited by the following article:

• 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.