Article ID Journal Published Year Pages File Type
1899850 Physica D: Nonlinear Phenomena 2009 7 Pages PDF
Abstract

The paper investigates a nonlinear model which provides soliton scattering with amplitude changes. This is a nonlinear equation in negative order AKNS hierarchy. We derive its NN-soliton solutions through Hirota method. For dynamics, 1-soliton is characterized by an asymmetric shape and time-dependent amplitude. Then by means of asymptotic analysis it is found that two-soliton scattering provides not only phase shifts but also amplitude changes for each soliton, which differs from classical soliton interactions where only phase shifts appear. Appendix A gives a tentative discussion on Lax integrability and formal Hamiltonian structures of the negative order hierarchy, and Appendix B lists reductions of equations and solutions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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