English

Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system

solv-int 2009-10-28 v1 Exactly Solvable and Integrable Systems

Abstract

One usually expects localized solitons in integrable systems to interact trivially. There is an integrable (2+1)-dimensional chiral equation which admits multi-soliton solutions with trivial dynamics. This paper describes how to generate explicit solutions representing nontrivial soliton interactions: in particular, a head-on collision of two solitons resulting in 9090^\circ scattering.

Keywords

Cite

@article{arxiv.solv-int/9510004,
  title  = {Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system},
  author = {R. S. Ward},
  journal= {arXiv preprint arXiv:solv-int/9510004},
  year   = {2009}
}

Comments

9 pages, plainTeX, figure not included To appear in Physics Letters A