التفاصيل البيبلوغرافية
| العنوان: |
Riemann-Hilbert problem associated with an integrable generalized mixed nonlinear Schrödinger equation. |
| المؤلفون: |
Dong, Fengjiao, Hu, Beibei, Li, Qinghong |
| المصدر: |
Complex Variables & Elliptic Equations; Jul2024, Vol. 69 Issue 7, p1097-1116, 20p |
| مصطلحات موضوعية: |
NONLINEAR Schrodinger equation, RIEMANN-Hilbert problems, SCHRODINGER equation, QUANTUM field theory, WATER waves, NONLINEAR optics |
| مستخلص: |
The generalized mixed nonlinear Schrödinger (GMNLS) equation is a completely integrable model under certain parameter conditions, which has important applications in nonlinear optics, weak nonlinear dispersive water wave and quantum field theory. In this work, we use the unified transformation method to construct a Riemann-Hilbert problem and discuss the initial-boundary value problems of the GMNLS equation on the half-line. Furthermore, we also obtain that some spectral functions are not independent of each other, but meet a paramount global relation. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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