Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-10-04
Theor.Math.Phys. 144 (2005) 995-1003; Teor.Mat.Fiz. 144 (2005) 133-142
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, 2 figures, Talk on International Conference "Nonlinear Physics. Theory and Experiment. III", 24 June-3 July, 2004, G
Scientific paper
10.1007/s11232-005-0127-5
Using the second flow - the Derivative Reaction-Diffusion system, and the third one of the dissipative SL(2,R) Kaup-Newell hierarchy, we show that the product of two functions, satisfying those systems is a solution of the modified Kadomtsev-Petviashvili equation in 2+1 dimension with negative dispersion (MKP-II). We construct Hirota's bilinear representation for both flows and combine them together as the bilinear system for MKP-II. Using this bilinear form we find one and two soliton solutions for the MKP-II. For special values of parameters our solution shows resonance behaviour with creation of four virtual solitons. Our approach allows one to interpret the resonance soliton as a composite object of two dissipative solitons in 1+1 dimensions.
Lee Jyh-Hao
Pashaev Oktay K.
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