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Wazwaz, Abdul-Majid

Special types of the nonlinear dispersive Zakharov-Kuznetsov equation with compactons, solitons, and periodic solutions. (English) Zbl 1059.35131

Int. J. Comput. Math. 81, No. 9, 1107-1119 (2004).
Summary: We study nonlinear dispersive special types of the Zakharov-Kuznetsov equation with positive and negative exponents. The approach depends mainly on the sine-cosine algorithim. Compactons, solitary patterns, solitons, and periodic solutions are formally derived.

Cited in 18 Documents

MSC:

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

Keywords:

compactons; solitons; periodic solutions; Zakharov-Kuznetsov equation; KP equations; KdV equation; sine-cosine method

Software:

MACSYMA
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References:

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