New integrable systems of derivative nonlinear Schrödinger equations with multiple components

Details New integrable systems of derivative nonlinear Schrödinger equations with multiple components New integrable systems of derivative nonlinear Schrödinger equations with multiple components

1999-05-06

arxiv.org/abs/solv-int/9905004v1

Phys. Lett. A 257 (1999) 53-64

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

10.1016/S0375-9601(99)00272-8

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.

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