Abstract
The Riemann–Hilbert problem for the coupled nonlinear Schrödinger equation is formulated on the basis of the corresponding \(3\times 3\) matrix spectral problem. Using the nonlinear steepest descent method, we obtain leading-order asymptotics for the Cauchy problem of the coupled nonlinear Schrödinger equation.
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This work was supported by National Natural Science Foundation of China (Grant No. 11331008).
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Communicated by Anthony Bloch.
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Geng, X., Liu, H. The Nonlinear Steepest Descent Method to Long-Time Asymptotics of the Coupled Nonlinear Schrödinger Equation. J Nonlinear Sci 28, 739–763 (2018). https://doi.org/10.1007/s00332-017-9426-x
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DOI: https://doi.org/10.1007/s00332-017-9426-x