Integrable semi-discretization of the coupled nonlinear Schrödinger equations
نویسنده
چکیده
A system of semi-discrete coupled nonlinear Schrödinger equations is studied. To show the complete integrability of the model with multiple components, we extend the discrete version of the inverse scattering method for the single-component discrete nonlinear Schrödinger equation proposed by Ablowitz and Ladik. By means of the extension, the initial-value problem of the model is solved. Further, the integrals of motion and the soliton solutions are constructed within the framework of the extension of the inverse scattering method. † E-mail address: [email protected] Integrable semi-discretization of the coupled nonlinear Schrödinger equations 2
منابع مشابه
Integrable Discretization of the Coupled Nonlinear Schrödinger Equations
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