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On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrodinger equation

Priya, Vishnu N and Senthilvelan, M and Rangarajan, Govindan and Lakshmanan, M (2019) On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrodinger equation. In: PHYSICS LETTERS A, 383 (1). pp. 15-26.

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Official URL: https://doi.org/10.1016/j.physleta.2018.10.011

Abstract

We construct symmetry preserving and symmetry broken N-bright, dark and antidark soliton solutions of a nonlocal nonlinear Schrodinger equation. To obtain these solutions, we use appropriate eigenfunctions in Darboux transformation (DT) method. We present explicit one and two bright soliton solutions and show that they exhibit stable structures only when we combine the field and parity transformed complex conjugate field. Further, we derive two dark/antidark soliton solution with the help of DT method. Unlike the bright soliton case, dark/antidark soliton solution exhibits stable structure for the field and the parity transformed conjugate field separately. In the darkiantidark soliton solution case we observe a contrasting behaviour between the envelope of the field and parity transformed complex conjugate envelope of the field. For a particular parametric choice, we get dark (antidark) soliton for the field while the parity transformed complex conjugate field exhibits antidark (dark) soliton. Due to this surprising result, both the field and PT transformed complex conjugate field exhibit sixteen different combinations of collision scenario. We classify the parametric regions of dark and antidark solitons in both the field and parity transformed complex conjugate field by carrying out relevant asymptotic analysis. Further we present 2N-dark/antidark soliton solution formula and demonstrate that this solution may have 2(2N) x 2(2N) combinations of collisions. (C) 2018 Elsevier B.V. All rights reserved.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to ELSEVIER SCIENCE BV
Keywords: Nonlocal nonlinear Schrodinger equation; Bright solitons; Dark and antidark solitons; Darboux transformation
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Francis Jayakanth
Date Deposited: 10 Feb 2019 08:52
Last Modified: 10 Feb 2019 08:52
URI: http://eprints.iisc.ac.in/id/eprint/61336

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