Initial-Boundary Value Problems for the Coupled Higher-Order Nonlinear Schrödinger Equations on the Half-line
2018 ◽
Vol 19
(1)
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pp. 83-92
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Keyword(s):
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 $\{q_1(x,t),q_2(x,t)\}$ 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 $\lambda$.
1996 ◽
Vol 21
(5-6)
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pp. 687-692
1986 ◽
Vol 6
(4)
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pp. 405-418
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1990 ◽
Vol 145
(2)
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pp. 328-341
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2018 ◽
Vol 28
(12)
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pp. 123116
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2008 ◽
Vol 13
(7)
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pp. 1318-1328
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2014 ◽
Vol 228
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pp. 271-291
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2019 ◽
Vol 266
(2-3)
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pp. 1121-1152
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