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Jacobi Elliptic Function Solutions for (2 + 1) Dimensional Boussinesq and Kadomtsev-Petviashvili Equation
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Applied Mathematics·Volume 02 (2011)·Pages 1313–1316·Published 30 November 2011·DOI10.4236/am.2011.211183
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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.
KeywordsJacobi Elliptic FunctionTraveling Wave SolutionKadomtsev-Petviashvili EquationJacobi Elliptic Function Expansion MethodNumerical Simulation
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