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