New applications of developed Jacobi elliptic function expansion methods. (English) Zbl 1345.35091
Summary: The developed Jacobi elliptic function expansion methods are used to construct the exact periodic solutions of some non-polynomial or \((2+1)\)-dimensional nonlinear evolution equations. Some new results are presented, which include corresponding solitary or shock wave solutions and envelope solitary and shock wave solutions.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35B10 | Periodic solutions to PDEs |
| 35G20 | Nonlinear higher-order PDEs |
| 33E05 | Elliptic functions and integrals |
Keywords:
developed Jacobi elliptic function expansion methods; non-linear evolution equation; periodic solution; solitary wave solution; envelope solitary wave solutionReferences:
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