English

Inelastic soliton processes generated by the perturbed KdV equation

Pattern Formation and Solitons 2007-10-16 v1

Abstract

Perturbations commonly added to the KdV equation contain terms that represent inelastic interac-tions among KdV solitons in multiple-soliton solutions. These terms trigger the emergence of new waves in the first-order correction to the solution of the perturbed equation. The new waves can represent soliton-anti-soliton creation, annihilation and scattering. Other possible waves represent soliton decay and production.

Keywords

Cite

@article{arxiv.0710.2804,
  title  = {Inelastic soliton processes generated by the perturbed KdV equation},
  author = {Yair Zarmi},
  journal= {arXiv preprint arXiv:0710.2804},
  year   = {2007}
}

Comments

11 pages, including 5 figures

R2 v1 2026-06-21T09:31:51.724Z