Condensed Matter Physics, 1999, vol. 2, No. 2(18), p. 227-234, English
DOI:10.5488/CMP.2.2.227

Title: KINETIC EQUATION FOR SOLITONS IN SINE-GORDON AND NONLINEAR SCHRODINGER EQUATIONS
Authors: I.V.Baryakhtar (Institute for Low Temperature Physics and Engineering, 47 Lenin Ave., 310164 Kharkov, Ukraine)

The scheme for describing the kinetic behaviour of solitons in the integrable systems is considered for sine-Gordon and nonlinear Schrodinger equations. The collision integral for solitons is constructed without the assumption of the gas approximation. The kinetic equation for solitons in the case of small inhomogeneities in the soliton gas is proposed. Possible applications of the kinetic properties of solitons are discussed.

Comments: Figs. 0, Refs. 21, Tabs. 0.


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