Double Reduction and Exact Solutions of Zakharov-Kuznetsov Modified Equal width Equation with Power Law Nonlinearity via Conservation Laws

作者：Han Zhong; Zhang Yu-Feng^*; Zhao Zhong-Long

来源：Communications in Theoretical Physics, 2013, 60(6): 699-706.

DOI：10.1088/0253-6102/60/6/12

• conservation laws
• generalized double reduction
• ZK-MEW equation with power law nonlinearity
• exact solutions

The conservation laws for the (1+2)-dimensional Zakharov-Kuznetsov modified equal width (ZK-MEW) equation with power law nonlinearity are constructed by using Noether's approach through an interesting method of increasing the order of this equation. With the aid of an obtained conservation law, the generalized double reduction theorem is applied to this equation. It can be shown that the reduced equation is a second order nonlinear ODE. Finally, some exact solutions for a particular case of this equation are obtained after solving the reduced equation.

• 出版日期2013-12
• 单位中国矿业大学（北京）