IKBFU's Vestnik

2012 Issue №04

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The problem of complex meaning nonlinear equation in quotiend derivatives

Pages
160-166

Abstract

Several ways of finding of the exact solutions inherent in the equations with soliton like solutions were applied to the given equation. In particular the presence of property of Penleve in the equation was conducted, solutions in the form of numbers of Lorana, exact solutions in the form of running waves and solutions received by the method of Hiroty were found.

Reference

1. Абловиц М., Сигур Х. Солитоны и метод обратной задачи / пер. с англ. М., 1987.
2. Ньюэлл А. Солитоны в математике и физике. М., 1989.