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Initial-Boundary Value Problems for the Coupled Higher-Order Nonlinear Schrödinger Equations on the Half-line

Initial-Boundary Value Problems for the Coupled Higher-Order Nonlinear Schrödinger Equations on... AbstractIn this article, we use the unified transform method to analyze the initial-boundary value problem for the coupled higher-order nonlinear Schrödinger equations on the half-line. Suppose that the solution {q1(x,t),q2(x,t)}$\{q_1(x,t),q_2(x,t)\}$ exists, we show that it can be expressed in terms of the unique solution of a matrix Riemann–Hilbert problem formulated in the plane of the complex spectral parameter λ$\lambda$. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Nonlinear Sciences and Numerical Simulation de Gruyter

Initial-Boundary Value Problems for the Coupled Higher-Order Nonlinear Schrödinger Equations on the Half-line

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
2191-0294
eISSN
2191-0294
DOI
10.1515/ijnsns-2017-0080
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this article, we use the unified transform method to analyze the initial-boundary value problem for the coupled higher-order nonlinear Schrödinger equations on the half-line. Suppose that the solution {q1(x,t),q2(x,t)}$\{q_1(x,t),q_2(x,t)\}$ exists, we show that it can be expressed in terms of the unique solution of a matrix Riemann–Hilbert problem formulated in the plane of the complex spectral parameter λ$\lambda$.

Journal

International Journal of Nonlinear Sciences and Numerical Simulationde Gruyter

Published: Feb 23, 2018

References

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