Two-soliton collisions in a near-integrable lattice system

S. V. Dmitriev; P. G. Kevrekidis; B. A. Malomed; D. J. Frantzeskakis

Two-soliton collisions in a near-integrable lattice system

S. V. Dmitriev^*, P. G. Kevrekidis, B. A. Malomed, D. J. Frantzeskakis

^*Corresponding author for this work

School of Electrical Engineering

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32 Scopus citations

Abstract

Collisions between identical solitons in a weakly perturbed Ablowitz-Ladik (AL) model was examined. Weak perturbations generated large changes of amplitudes and velocities of the colliding solitons. It was observed that the outcomes of the collisions depended on the initial phase difference between the solitons and location of the collision. It was concluded that the small perturbations very weakly affect the energy conservation, but completely destroy the conservation of the lattice momentum.

Original language	English
Article number	056603
Pages (from-to)	566031-566037
Number of pages	7
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	68
Issue number	5 2
State	Published - Nov 2003

Cite this

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abstract = "Collisions between identical solitons in a weakly perturbed Ablowitz-Ladik (AL) model was examined. Weak perturbations generated large changes of amplitudes and velocities of the colliding solitons. It was observed that the outcomes of the collisions depended on the initial phase difference between the solitons and location of the collision. It was concluded that the small perturbations very weakly affect the energy conservation, but completely destroy the conservation of the lattice momentum.",

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Two-soliton collisions in a near-integrable lattice system

Abstract

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