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General Jacobian elliptic function expansion method and its applications
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2004
Year
Numerical AnalysisMethod Of Fundamental SolutionElliptic EquationEngineeringNumerical SimulationElliptic FunctionNonlinear EquationNonlinear SchrödingerNew SolutionsIntegrable SystemApproximation TheoryJacobian Elliptic FunctionNonlinear Functional Analysis
An extended Jacobian elliptic function expansion method is presented and successfully applied to the nonlinear Schrödinger (NLS) equation and Zakharov equation. We obtain some new solutions besides Fu et al's results. The results show that our method is more powerful to construct Jacobian elliptic function and can be applied to other nonlinear physics systems.