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Rational Solutions of a Weakly Coupled Nonlocal Nonlinear Schrödinger Equation
Joint Authors
Li, Chuanzhong
Zhou, Huijuan
Lin, Yueh-Lung
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-14
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this article, we investigate an integrable weakly coupled nonlocal nonlinear Schrödinger (WCNNLS) equation including its Lax pair.
Afterwards, Darboux transformation (DT) of the weakly coupled nonlocal NLS equation is constructed, and then the degenerated Darboux transformation can be got from Darboux transformation.
Applying the degenerated Darboux transformation, the new solutions (q[1], r[1]) and self-potential function (V[1]) are created from the known solutions (q, r).
The (q[1], r[1]) satisfy the parity-time (PT) symmetry condition, and they are rational solutions with two free phase parameters of the weakly coupled nonlocal nonlinear Schrödinger equation.
From the plots of solutions, the compression effects of the real refractive index profile and the gain-or-loss distribution are produced.
American Psychological Association (APA)
Zhou, Huijuan& Li, Chuanzhong& Lin, Yueh-Lung. 2018. Rational Solutions of a Weakly Coupled Nonlocal Nonlinear Schrödinger Equation. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1119327
Modern Language Association (MLA)
Zhou, Huijuan…[et al.]. Rational Solutions of a Weakly Coupled Nonlocal Nonlinear Schrödinger Equation. Advances in Mathematical Physics No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1119327
American Medical Association (AMA)
Zhou, Huijuan& Li, Chuanzhong& Lin, Yueh-Lung. Rational Solutions of a Weakly Coupled Nonlocal Nonlinear Schrödinger Equation. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1119327
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119327