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Zbl 1039.35112
Wazwaz, Abdul-Majid
Compact structures for variants of the generalized KdV and the generalized KP equations. (English)
[J] Appl. Math. Comput. 149, No. 1, 103-117 (2004). ISSN 0096-3003

Summary: We discuss mathematical variants in higher dimensions of the generalized KdV and the generalized KP equations. It is shown that the focusing branches of these variants exhibit compactons: solitons with finite wavelength, whereas the defocusing branches support solitary pattern solutions with infinite slopes or cusps. The compact and the noncompact dispersive structures are examined in a general way.
MSC 2000:
*35Q53 KdV-like equations
37K40 Soliton theory, asymptotic behavior of solutions

Keywords: Compactons; Solitons; Generalized KP equation; Generalized KdV equation

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