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Wazwaz, Abdul-Majid

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

Int. J. Comput. Math. 82, No. 6, 699-708 (2005).
Summary: The tanh and sine-cosine methods are used to handle the two-dimensional ZK-modified equal-width equation (ZK-MEW) \[ u_t+ 3u^2u_x- \alpha u_{xxt}=0. \] 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.

Cited in 21 Documents

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems

Keywords:

solitons; periodic solutions; modified equal-width equation; ZK equation; sine-cosine method; tanh method

Software:

MACSYMA
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\textit{A.-M. Wazwaz}, Int. J. Comput. Math. 82, No. 6, 699--708 (2005; Zbl 1068.35145)
Full Text: DOI

References:

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