Digging into the Elusive Localised Solutions of (2+1) Dimensional sine-Gordon Equation

Radha, R. and Senthil Kumar, C. (2018) Digging into the Elusive Localised Solutions of (2+1) Dimensional sine-Gordon Equation. Zeitschrift für Naturforschung A, 73 (5). pp. 415-423. ISSN 0932-0784

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Abstract

In this paper, the (2+1)-dimensional sine-Gordon equation is revisited using the Truncated Painlevé Approach. Solutions are obtained in terms of lower-dimensional arbitrary functions of space and time. By harnessing these arbitrary functions, dromion solutions are constructed and their collision dynamics are analyzed. Additionally, controllable dromion pairs are demonstrated, showing that their dynamics can be switched ON or OFF, and their orientation can be modified. Other localized nonlinear excitations including compactons, rogue waves, and lumps are also generated and their evolution is investigated. © 2018 Elsevier B.V., All rights reserved.

Item Type: Article
Subjects:
Divisions: Arts and Science > Vinayaka Mission's Kirupananda Variyar Arts & Science College, Salem > Tamil
Depositing User: Unnamed user with email techsupport@mosys.org
Last Modified: 08 Dec 2025 12:25
URI: https://vmuir.mosys.org/id/eprint/3859

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