Exact solutions for the ZK-MEW equation by using the tanh and sine–cosine methods

Abstract

The tanh and sine–cosine methods are used to handle the two-dimensional ZK-modified equal-width equation (ZK-MEW). The two methods work well to obtain exact solutions of different physical structures; solitary wave solutions and periodic solutions are also obtained. The framework presented here reveals a number of useful features of the methods applied.

Keywords:

• Solitons
• Periodic solutions
• Modified equal-width equation
• ZK equation
• Sine–cosine method
• Tanh method