Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 238, Issue 23-24, Pages 2361-2367Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2009.09.018
Keywords
Negative order AKNS equation; Hirota method; N-soliton solutions; Soliton scattering; Amplitude
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Funding
- National Natural Science Foundation of China [0371070, 10671121]
- Shanghai Leading Academic Discipline Project [J50101]
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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 N-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. (C) 2009 Elsevier B.V. All rights reserved.
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