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Jacobi Elliptic Function Solutions of Some Nonlinear Evolution Equations
Authors:YE Cai-Er
Affiliation:Department of Mathematics, Zhejiang Forestry University, Lin'an 311300, China
Abstract:In this letter, the modified Jacobi elliptic function expansionmethod is extended to solve M-coupled KdV equation, M-coupledIto equation, vKdV equation, and AKNS equation. Some new Jacobielliptic function solutions are obtained by using Mathematica.When the modulus m→1, those periodic solutions degenerate as the corresponding soliton solutions.
Keywords:KdV equation   Ito equation   vKdV equation   AKNS equation   exact solution
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