Published July 1989
| Version v1
Journal article
Asymptotic solitons of the sine-Gordon equation
Creators
- 1. AN Ukrainskoj SSR, Kharkov (Ukrainian SSR). Fiziko-Tekhnicheskij Inst. Nizkikh Temperatur
Description
The large time asymptotics of the solutions of the sine-Gordon equation which tend to zero when x→∞ and tend to the finite-gap solution of this equation when x→-∞ are investigated. It is proved that at t→∞ these solutions split into infinite series of solitons with variable phases. These solitons are generated by the continuous spectrum of the L-operator from the corresponding Lax representation
Additional details
Additional titles
- Original title (Russian)
- Асимптотические солитоны уравнения SINE-GORDON
Publishing Information
- Journal Title
- Teoreticheskaya i Matematicheskaya Fizika
- Journal Volume
- 80
- Journal Issue
- 1
- Series
- Teor. Mat. Fiz.
- Journal Page Range
- 15-28
- ISSN
- 0564-6162
- CODEN
- TMFZA
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- USSR
- INIS RN
- 21008467
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; CAUCHY PROBLEM; INVERSE SCATTERING PROBLEM; JOST FUNCTION; SINE-GORDON EQUATION; SOLITONS
- Descriptors DEC
- BOUNDARY-VALUE PROBLEMS; EQUATIONS; FIELD EQUATIONS; FUNCTIONS; QUASI PARTICLES