Mashkin, Timur (2020). Solitons in the presence of a small, slowly varying perturbation. Appl. Anal., 99 (13). S. 2258 - 2280. ABINGDON: TAYLOR & FRANCIS LTD. ISSN 1563-504X
Full text not available from this repository.Abstract
We consider the perturbed sine-Gordon equation theta(tt) - theta(xx) + sin theta=epsilon(2)f(epsilon x), where the external perturbation epsilon(2)f(epsilon x) is small and slowly varying. We show that the initial value problem with an appropriate initial state close enough to the solitary manifold has a unique solution, which follows up to time 1/epsilon and errors of order epsilon(3/4) a trajectory on the solitary manifold. The trajectory on the solitary manifold is described by ODEs, which agree up to errors of order epsilon(3) with Hamilton equations for the restricted to the solitary manifold sine-Gordon Hamiltonian.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-315917 | ||||||||
| DOI: | 10.1080/00036811.2018.1559301 | ||||||||
| Journal or Publication Title: | Appl. Anal. | ||||||||
| Volume: | 99 | ||||||||
| Number: | 13 | ||||||||
| Page Range: | S. 2258 - 2280 | ||||||||
| Date: | 2020 | ||||||||
| Publisher: | TAYLOR & FRANCIS LTD | ||||||||
| Place of Publication: | ABINGDON | ||||||||
| ISSN: | 1563-504X | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/31591 |
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