Vishnu Priya, N and Monisha, S and Senthilvelan, M and Rangarajan, G (2022) Nth-order smooth positon and breather-positon solutions of a generalizednonlinear Schrödinger equation. In: European Physical Journal Plus, 137 (5).
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Abstract
In this paper, we investigate smooth positon and breather-positon solutions of a generalized nonlinear Schrödinger (GNLS) equation which contains higher-order nonlinear effects. With the help of generalized Darboux transformation (GDT) method, we construct Nth-order smooth positon solutions of GNLS equation. We study the effect of higher-order nonlinear terms on these solutions. Our investigations show that the positon solutions are highly compressed by higher-order nonlinear effects. The direction of positons also get changed. We also derive Nth-order breather-positon (B-P) solution with the help of GDT. We show that these B-Ps are well compressed by the effect of higher-order nonlinear terms, but the period of B-P solution is not affected as in the breather solution case.
| Item Type: | Journal Article |
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| Publication: | European Physical Journal Plus |
| Publisher: | Springer Science and Business Media Deutschland GmbH |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 16 Sep 2022 09:12 |
| Last Modified: | 16 Sep 2022 09:12 |
| URI: | https://eprints.iisc.ac.in/id/eprint/76549 |
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