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New Jacobi elliptic function periodic solutions of generalized Zakharov equations. (Chinese. English summary) Zbl 1374.35036

Summary: We obtained new Jacobi elliptic function periodic solutions of generalized Zakharov equations by using improved Jacobi elliptic function method. The results show that some of these solutions can be degenerated into the corresponding soliton solutions and triangular function solutions in the limit cases. This method can also be used to solve the exact travelling wave solutions of other nonlinear equations.

MSC:

35B10 Periodic solutions to PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
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