Degenerate Four Virtual Soliton Resonance for KP-II

Details Degenerate Four Virtual Soliton Resonance for KP-II Degenerate Four Virtual Soliton Resonance for KP-II

2004-10-04

arxiv.org/abs/hep-th/0410031v1

Theor.Math.Phys. 144 (2005) 1022-1029; Teor.Mat.Fiz. 144 (2005) 162-170

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 5 figures, Talk on International Conference Nonlinear Physics. Theory and Experiment. III, 24 June-3 July, 2004, Gal

Scientific paper

10.1007/s11232-005-0130-x

By using disipative version of the second and the third members of AKNS hierarchy, a new method to solve 2+1 dimensional Kadomtsev-Petviashvili (KP-II) equation is proposed. We show that dissipative solitons (dissipatons) of those members give rise to the real solitons of KP-II. From the Hirota bilinear form of the SL(2,R) AKNS flows, we formulate a new bilinear representation for KP-II, by which, one and two soliton solutions are constructed and the resonance character of their mutual interactions is studied. By our bilinear form, we first time created four virtual soliton resonance solution for KP-II and established relations of it with degenerate four-soliton solution in the Hirota-Satsuma bilinear form for KP-II.

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