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E. Date, M. Jimbo and M. Kashiwara, “Transformation Groups for Soliton Equations, IV. A New Hierarchy of Soliton Equations of KP Type,” Physica D: Nonlinear Phenomena, Vol. 4, No. 3, 1982, pp. 343-365. doi:10.1016/0167-2789(82)90041-0

has been cited by the following article:

• TITLE: Jacobi Elliptic Function Solutions for (2 + 1) Dimensional Boussinesq and Kadomtsev-Petviashvili Equation

  AUTHORS: Chunhuan Xiang

  KEYWORDS: Jacobi Elliptic Function, Traveling Wave Solution, Kadomtsev-Petviashvili Equation, Jacobi Elliptic Function Expansion Method, Numerical Simulation

  JOURNAL NAME: Applied Mathematics, Vol.2 No.11, November 30, 2011

  ABSTRACT: (2 + 1) dimensional Boussinesq and Kadomtsev-Petviashvili equation are investigated by employing Jacobi elliptic function expansion method in this paper. As a result, some new forms traveling wave solutions of the equation are reported. Numerical simulation results are shown. These new solutions may be important for the explanation of some practical physical problems. The results of this paper show that Jacobi elliptic function method can be a useful tool in obtaining evolution solutions of nonlinear system.