Enlarged spectral problems and nonintegrability

Details Enlarged spectral problems and nonintegrability Enlarged spectral problems and nonintegrability

2005-04-18

arxiv.org/abs/nlin/0504037v2

Phys. Lett. A 345 (2005) 63-68

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages

Scientific paper

10.1016/j.physleta.2005.06.114

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.

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