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New integrable systems of derivative nonlinear Schrödinger equations with multiple components

T. Tsuchida, M. Wadati

solv-intarXiv:solv-int/9905004

Abstract

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

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