English

New integrable systems of derivative nonlinear Schr\"{o}dinger equations with multiple components

solv-int 2009-10-31 v1 Exactly Solvable and Integrable Systems

Abstract

The Lax pair for a derivative nonlinear Schr\"{o}dinger equation proposed by Chen-Lee-Liu is generalized into matrix form. This gives new types of integrable coupled derivative nonlinear Schr\"{o}dinger equations. By virtue of a gauge transformation, a new multi-component extension of a derivative nonlinear Schr\"{o}dinger equation proposed by Kaup-Newell is also obtained.

Keywords

Cite

@article{arxiv.solv-int/9905004,
  title  = {New integrable systems of derivative nonlinear Schr\"{o}dinger equations with multiple components},
  author = {T. Tsuchida and M. Wadati},
  journal= {arXiv preprint arXiv:solv-int/9905004},
  year   = {2009}
}

Comments

15 pages, LaTeX209, to appear in Phys. Lett. A

R2 v1 2026-07-22T20:09:07.727Z