On Soliton-type Solutions of Equations Associated with N-component Systems

Details On Soliton-type Solutions of Equations Associated with N-component Systems On Soliton-type Solutions of Equations Associated with N-component Systems

2000-01-03

arxiv.org/abs/nlin/0001003v1

Nonlinear Sciences

Pattern Formation and Solitons

43 pages, 16 figures

Scientific paper

The algebraic geometric approach to $N$-component systems of nonlinear integrable PDE's is used to obtain and analyze explicit solutions of the coupled KdV and Dym equations. Detailed analysis of soliton fission, kink to anti-kink transitions and multi-peaked soliton solutions is carried out. Transformations are used to connect these solutions to several other equations that model physical phenomena in fluid dynamics and nonlinear optics.

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