an:01978025
Zbl 1029.35200
Wazwaz, A. M.
Compactons and solitary patterns structures for variants of the KdV and the KP equations
EN
Appl. Math. Comput. 139, No. 1, 37-54 (2003).
0096-3003
2003
j
35Q53 37K40
compactons; solitons; KP equation; KdV equation
Summary: We discuss mathematical variants in higher dimensions of the KdV and the KP equations. It is shown that the focusing branches of these variants exhibit compactons: solitons with finite wavelength, whereas the defocusing branches support solitary patterns solutions with infinite slopes or cusps. The study presents a fairly complete understanding of the compact and noncompact dispersive structures.