English

Enlarged spectral problems and nonintegrability

Exactly Solvable and Integrable Systems 2007-05-23 v2 Mathematical Physics Analysis of PDEs math.MP

Abstract

The method of obtaining new integrable coupled equations through enlarging spectral problems of known integrable equations, which was recently proposed by W.-X. Ma, can produce nonintegrable systems as well. This phenomenon is demonstrated and explained by the example of the enlarged spectral problem of the Korteweg - de Vries equation.

Keywords

Cite

@article{arxiv.nlin/0504037,
  title  = {Enlarged spectral problems and nonintegrability},
  author = {Sergei Sakovich},
  journal= {arXiv preprint arXiv:nlin/0504037},
  year   = {2007}
}

Comments

11 pages