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

Mark S. Alber·Gregory G. Luther·Charles A. Miller
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Abstract

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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Mark S. Alber, Gregory G. Luther, Charles A. Miller. 2000-01-03. On Soliton-type Solutions of Equations Associated with N-component Systems. https://doi.org/10.1063/1.533133

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