Nonlinear Phenomena in Complex Systems, 2000, Vol.3, No.1, pp.55--60

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2000, Volume 3, Number 1, pp.55--60

Mathematical Analysis and Generalization of Modern Methods of Constructing Soliton Solutions.
S.V. Zhestkov and V.I. Kuvshinov

The method of the inverse problem of scattering (MISP) and Hirota's method (HM) are analyzed. It is shown that these methods use not the most common form of representation of soliton solutions of Schrödinger equation. This fact allows to generalize them and to construct the new variant of soliton scattering theory which enables to operate by some parameters of scattering.
Key words: solitons, inverse problem, scattering, Schrödinger equation.

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