Gauge and Baecklund transformations for the generalized Sine-Gordon equation and its {eta}-dependent modified equation
Journal Article
·
· International Journal of Theoretical Physics
- Chinese Univ. of Hong Kong, Shatin (Hong Kong)
We study the generalized sine-Gordon hierarchy and its associated {eta}-dependent modified sine-Gordon hierarchy. Two Baecklund transformations for these two families are constructed. One of them is a generalization of the Baecklund transformations of Wadati and the other one is new. Gauge transformations of a relevant AKNS system are employed to reduce the integration of these equations via the Baecklund transformations to quadratures. Three generations of explicit solutions of the sine-Gordon equation are presented. 5 refs.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 133264
- Journal Information:
- International Journal of Theoretical Physics, Journal Name: International Journal of Theoretical Physics Journal Issue: 6 Vol. 31; ISSN 0020-7748; ISSN IJTPBM
- Country of Publication:
- United States
- Language:
- English
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