On the method of determining relations; O metode opredelyayushchikh sootnoshenij
Mel`nikov, V K
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SCHROEDINGER EQUATION; INVERSE SCATTERING PROBLEM; NONLINEAR PROBLEMS; INTEGRAL EQUATIONS; SOLITONS; 661100; CLASSICAL AND QUANTUM MECHANICS
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.
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
OSTI; NTIS (US Sales Only); INIS
JINR
1992-12-31
Russian
Technical Report
Other Information: DN: Submitted to the 2-nd Conference on the Renormgroup Method, Dubna, 3-6 September, 1991.; PBD: 1991
Medium: X; Size: [14] p.
ON: DE93612979
JINR-R-2-91-416
Other: ON: DE93612979; TRN: RU9206942008097
INIS; SCA: 661100; PA: AIX-24:008097; SN: 93000932838
2008-02-12
10119424