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Integrable Discretization of the Coupled Nonlinear Schrödinger Equations

Takayuki Tsuchida
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Abstract

A discrete version of the inverse scattering method proposed by Ablowitz and Ladik is generalized to study an integrable full-discretization (discrete time and discrete space) of the coupled nonlinear Schrödinger equations. The generalization enables one to solve the initial-value problem. Soliton solutions and conserved quantities of the full-discrete system are constructed.

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Takayuki Tsuchida. 2000-02-25. Integrable Discretization of the Coupled Nonlinear Schrödinger Equations. https://doi.org/10.1016/s0034-4877(01)80032-x

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