This article is cited in 1 paper

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory

Solitons and the generalized Cole-Hopf substitutions

A. N. Byzykchi, V. M. Zhuravlev

Ulyanovsk State University, Ulyanovsk, 432017, Russia

Abstract: This paper examines the relationship between the method of the inverse problem and the method of generalized Cole-Hopf substitutions. The relationship between these methods is established by comparing the method of Darboux transformations and the method of Cole-Hopf substitutions. Concrete examples of using such a relationship are given. Some new examples of the integrable equations are considered.

Keywords: solitons, exactly integrable nonlinear models, Hopf-Cole substitutions.

UDC: 534.04:536.12:51-7

MSC: 34F05, 34D20

Original article submitted 16/XI/2012
revision submitted – 27/III/2013

DOI: 10.14498/vsgtu1177

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