Kevrekidis, P. G. ; Khare, Avinash ; Saxena, A. (2004) Solitary wave interactions in dispersive equations using Manton's approach Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 70 (5). 057603_1-057603_4. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v70/i5/e057603
Related URL: http://dx.doi.org/10.1103/PhysRevE.70.057603
Abstract
We generalize the approach first proposed by Manton Nucl. Phys. B 150 397 (1979)] to compute solitary wave interactions in translationally invariant, dispersive equations that support such localized solutions. The approach is illustrated using as examples solitons in the Korteweg-de Vries equation, standing waves in the nonlinear Schrödinger equation, and kinks as well as breathers of the sine-Gordon equation.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 83281 |
| Deposited On: | 20 Feb 2012 06:29 |
| Last Modified: | 19 May 2016 00:11 |
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