New Integrable Coupled Nonlinear Schrodinger Equations

Details New Integrable Coupled Nonlinear Schrodinger Equations New Integrable Coupled Nonlinear Schrodinger Equations

1999-07-02

arxiv.org/abs/solv-int/9907007v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, LaTeX

Scientific paper

Two types of integrable coupled nonlinear Schrodinger (NLS) equations are derived by using Zakharov-Shabat (ZS) dressing method.The Lax pairs for the coupled NLS equations are also investigated using the ZS dressing method. These give new types of the integrable coupled NLS equations with certain additional terms. Then, the exact solutions of the new types are obtained. We find that the solution of these new types do not always produce a soliton solution even they are the kind of the integrable NLS equations.

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