Exact and periodic solutions of ZK and mZK equations. (Chinese. English summary) Zbl 1088.35507
Summary: The Jacobi elliptic function expansion method is generalized, and using it to get many new exact periodic solutions of Zakharov Kuznetsov (ZK) equation and modified Zakharov-Kuznetsov (mZK) equation. Some of the solutions can be reduced to the solitary wave solutions of ZK equation or mZK equation under some certain conditions.
MSC:
35C05 | Solutions to PDEs in closed form |
35A25 | Other special methods applied to PDEs |
35Q51 | Soliton equations |
35B10 | Periodic solutions to PDEs |