Radha, R. and Kumar, C. Senthil
(2018)
Digging into the Elusive Localised Solutions of (2+1) Dimensional sine-Gordon Equation.
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 73.0 (5).
pp. 415-423.
ISSN 0932-0784
Full text not available from this repository.
Abstract
In this paper, we revisit the (2+1) dimensional sine-Gordon equation analysed earlier [R. Radha and M. Lakshmanan, J. Phys. A Math. Gen. 29, 1551 (1996)] employing the Truncated Painleve Approach. We then generate the solutions in terms of lower dimensional arbitrary functions of space and time. By suitably harnessing the arbitrary functions present in the closed form of the solution, we have constructed dromion solutions and studied their collisional dynamics. We have also constructed dromion pairs and shown that the dynamics of the dromion pairs can be turned ON or OFF desirably. In addition, we have also shown that the orientation of the dromion pairs can be changed. Apart from the above classes of solutions, we have also generated compactons, rogue waves and lumps and studied their dynamics.
| Item Type: |
Article
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| Uncontrolled Keywords: |
Compactons, Dromions, Lumps, Rogue waves, Truncated Painleve Approach |
| 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 Nursing > Vinayaka Mission's College of Nursing, Karaikal Nursing > Vinayaka Mission's College of Nursing, Puducherry Pharmacy > Vinayaka Mission’s College of Pharmacy, Salem Physiotherapy > Vinayaka Mission's College of Physiotherapy, Salem Homoeopathy > Vinayaka Mission's Homoeopathic Medical College and Hospital, Salem Medicine > Vinayaka Mission's Kirupananda Variyar Medical College and Hospital, Salem Arts and Science > Vinayaka Mission's Kirupananda Variyar Arts and Science College, Salem, India Engineering and Technology > Vinayaka Mission's Kirupananda Variyar Engineering College, Salem, India Law > Vinayaka Mission's Law School, Chennai 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 |
| Depositing User: |
Unnamed user with email techsupport@mosys.org
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| Last Modified: |
06 Feb 2026 06:58 |
| URI: |
https://ir.vmrfdu.edu.in/id/eprint/6271 |
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