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: Chemistry > Chemistry
Multi-Disciplinary Studies > Multidisciplinary
Physics and Astronomy > Physics
Divisions: Nursing > Vinayaka Mission's Annapoorna College of Nursing, Salem
Medicine > Vinayaka Mission's Medical College and Hospital, Karaikal
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Medicine > Vinayaka Mission's Medical College, Kottucherry
Medicine > Vinayaka Mission's Medical College, Puducherry
Physical Education > Vinayaka Mission's College of Physical Education, Salem
Interdisciplinary Studies > Vinayaka Mission's School of Health Systems, Chennai
Dentistry > Vinayaka Mission‘s Sankarachariyar Dental College, Salem
Liberal Arts > Vinayaka Mission's School of Economics and Public Policy, Chennai
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Last Modified: 08 Dec 2025 12:25
URI: https://ir.vmrfdu.edu.in/id/eprint/3859

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