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An extended Jacobian elliptic function method for the discrete mKdV lattice
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2004
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Numerical AnalysisPeriodic SolutionsNumerical ComputationEngineeringPhysicsNumerical SimulationAbundant FamiliesComputational MechanicsDiscrete Mkdv LatticeIntegrable SystemApproximation TheoryBoundary Element MethodDiscrete Integrable SystemNumerical Method For Partial Differential Equation
In this paper, the discrete mKdV lattice is solved by using the modified Jacobian elliptic function expansion method. As a consequence, abundant families of Jacobian elliptic function solutions are obtained. When the modulus m→1, these periodic solutions degenerate to the corresponding solitary wave solutions, including bell-type and kink-type excitations.