Interaction of N solitons in the massive Thirring model and optical gap system: the Complex Toda Chain Model

Details Interaction of N solitons in the massive Thirring model and optical gap system: the Complex Toda Chain Model Interaction of N solitons in the massive Thirring model and optical gap system: the Complex Toda Chain Model

2001-09-30

arxiv.org/abs/nlin/0110001v1

Phys.Rev.E65:046614,2002

Nonlinear Sciences

Exactly Solvable and Integrable Systems

RevTex, 23 pages, no figures. Submitted to Physical Review E

Scientific paper

10.1103/PhysRevE.65.046614

Using the Karpman-Solov''ev quasiparticle approach for soliton-soliton interaction I show that the train propagation of N well separated solitons of the massive Thirring model is described by the complex Toda chain with N nodes. For the optical gap system a generalised (non-integrable) complex Toda chain is derived for description of the train propagation of well separated gap solitons. These results are in favor of the recently proposed conjecture of universality of the complex Toda chain.

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