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The Nonlinear Steepest Descent Method to Long-Time Asymptotics of the Coupled Nonlinear Schrödinger Equation

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The Riemann–Hilbert problem for the coupled nonlinear Schrödinger equation is formulated on the basis of the corresponding $$3\times 3$$3×3 matrix spectral problem. Using the nonlinear steepest descent method, we obtain… Click to show full abstract

The Riemann–Hilbert problem for the coupled nonlinear Schrödinger equation is formulated on the basis of the corresponding $$3\times 3$$3×3 matrix spectral problem. Using the nonlinear steepest descent method, we obtain leading-order asymptotics for the Cauchy problem of the coupled nonlinear Schrödinger equation.

Keywords: dinger equation; coupled nonlinear; nonlinear schr; schr dinger

Journal Title: Journal of Nonlinear Science
Year Published: 2018

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