Bhalerao, R. S. ; Bhaduri, R. K. ; Warke, C. S. (1989) Solitary waves in a class of sine-Gordon-type equations Physica D: Nonlinear Phenomena, 40 (3). pp. 353-359. ISSN 0167-2789
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Official URL: http://www.sciencedirect.com/science/article/pii/0...
Related URL: http://dx.doi.org/10.1016/0167-2789(89)90049-3
Abstract
A new class of sine-Gordon-type Lagrangians is studied for solitary-wave solutions. The potential is a series with N terms, N varying from 1 to ∞, and N=1 corresponding to the usual sine-Gordon form. The large- and small-x limits of the solutions are obtained analytically for arbitrary N. The large-x behaviour is shown to be distinct for N even or odd. Also, the solutions for arbitrarily large but finite N are found to differ exponentially from the N=∞ solution, for asymptotically large x.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 55642 |
| Deposited On: | 18 Aug 2011 15:25 |
| Last Modified: | 18 Aug 2011 15:25 |
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