Published 1991
| Version v1
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On the method of determining relations
Description
On the basis of the method of determining relations it is shown that the multicomponent nonlinear Schroedinger equation with a source can be investigated by the inverse scattering method. However, the system of evolution equations for scattering data in the general case turns out to be nonlinear, which may result in the chaotic behaviour of solitons. Conditions are found under which the evolution of scattering data is described by a system of linear equations. 15 refs
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24008097.pdf
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Additional details
Additional titles
- Original title (Russian)
- О методе определяющих соотношений
Publishing Information
- Imprint Pagination
- 14 p.
- Report number
- JINR-R--2-91-416
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- Russian Federation
- INIS RN
- 24008097
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- INTEGRAL EQUATIONS; INVERSE SCATTERING PROBLEM; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; SOLITONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; WAVE EQUATIONS
Optional Information
- Notes
- Submitted to the 2-nd Conference on the Renormgroup Method, Dubna, 3-6 September, 1991.