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R. Hirota, “The Direct Method in Soliton Theroy,” Cambridge University Press, Cambidge, 2004.

has been cited by the following article:

• TITLE: Some New Exact Traveling Wave Solutions for the Generalized Benney-Luke (GBL) Equation with Any Order

  AUTHORS: Jun-Jie Wang, Lian-Tang Wang, Kuan-De Yang

  KEYWORDS: Generalized Benney-Luke (GBL) Equation; Jacobian Elliptic Function; Singular Solution

  JOURNAL NAME: Applied Mathematics, Vol.3 No.4, April 27, 2012

  ABSTRACT: In the paper, a auxiliary equation expansion method and its algorithm is proposed by studying a second order nonlinear ordinary differential equation with a four-degree term. The method is applied to the generalized Ben-ney-Luke (GBL) equation with any order. As a result, some new exact traveling wave solutions are obtained which singular solutions, triangular periodic wave solutions and jacobian elliptic function solutions .This algorithm can also be applied to other nonlinear wave equations in mathematical physics.