New integrable systems of derivative nonlinear Schrödinger equations with multiple components

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.

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

References in corpus (1)

• Integrable semi-discretization of the coupled nonlinear Schrödinger equations

Cited by in corpus (17)

• Integrable discretizations of derivative nonlinear Schroedinger equations
• Classification of integrable polynomial vector evolution equations
• Complete integrability of derivative nonlinear Schrödinger-type equations
• Symmetrically coupled higher-order nonlinear Schroedinger equations: singularity analysis and integrability
• Multi-Field Integrable Systems Related to WKI-Type Eigenvalue Problems
• Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation
• Perturbation theory for nearly integrable multi-component nonlinear PDEs
• Algebraic Bethe ansatz for a quantum integrable derivative nonlinear Schrodinger model
• The algebraic structure behind the derivative nonlinear Schroedinger equation
• Derivative non-linear Schrödinger equation: Singular manifold method and Lie symmetries
• Cole-Hopf Like Transformation for a Class of Coupled Nonlinear Schroedinger Equations
• General soliton solutions to a coupled Fokas-Lenells equation
• New Integrable Coupled Nonlinear Schrodinger Equations
• The Marchenko method to solve the general system of derivative nonlinear Schrödinger equations
• Symmetry approach to integrability and non-associative algebraic structures
• Gauge equivalence among quantum nonlinear many body systems
• The multi-component modified nonlinear Schrödinger system with nonzero boundary conditions