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Exact solutions for the ZK-MEW equation by using the tanh and sine-cosine methods. (English) Zbl 1068.35145

Summary: The tanh and sine-cosine methods are used to handle the two-dimensional ZK-modified equal-width equation (ZK-MEW)

u t +3u 2 u x -αu xxt =0·

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.

MSC:
35Q53KdV-like (Korteweg-de Vries) equations
37K40Soliton theory, asymptotic behavior of solutions
Software:
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