New integrable systems of derivative nonlinear Schrödinger equations with multiple components

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

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