التفاصيل البيبلوغرافية
| العنوان: |
Inverse scattering transform for a nonlinear lattice equation under non-vanishing boundary conditions. |
| المؤلفون: |
Liu, Qin-Ling, Guo, Rui |
| المصدر: |
Optical & Quantum Electronics; Jun2024, Vol. 56 Issue 6, p1-21, 21p |
| مصطلحات موضوعية: |
NONLINEAR equations, INVERSE scattering transform, RIEMANN-Hilbert problems, LATTICE dynamics, NONLINEAR optics |
| مستخلص: |
Under investigation in this paper is the inverse scattering transform for a nonlinear lattice equation, which can be used to study the fluctuation of nonlinear optics and dynamics of anharmonic lattices. Symmetries, analyticities and asymptotic behaviors of eigenfunctions will be obtained in the direct scattering analysis to establish a suitable Riemann-Hilbert problem. The Riemann-Hilbert problem of the scattering data with simple poles will be constructed. In particular, by using the Laurent expansion and the generalized residue condition to solve the Riemann-Hilbert problem, the determinant representation of N-soliton solution for the equation will be presented. One-dark-soliton under non-vanishing boundary conditions will be displayed through some representative reflectionless potentials. [ABSTRACT FROM AUTHOR] |
|
Copyright of Optical & Quantum Electronics is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
Find this article in full text from Springer Verlag. 
Full Text Finder