New integrable systems of derivative nonlinear Schrödinger equations with multiple components

نویسنده

  • Takayuki Tsuchida
چکیده

(Received 25 June 1998, revised version received 05 January 1999) 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. PACS numbers: 02.30.Jr, 03.40.Kf, 42.50.Rh, 42.81.Dp keywords: derivative nonlinear Schrödinger equation, multi-component system, Lax pair, AKNS formulation, gauge transformation, conservation laws

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تاریخ انتشار 1999