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Theoretical and Mathematical Physics

, Volume 158, Issue 1, pp 48–60 | Cite as

The method of generalized Cole-Hopf substitutions and new examples of linearizable nonlinear evolution equations

  • V. M. ZhuravlevEmail author
Article

Abstract

We propose a new approach for constructing nonlinear evolution equations in matrix form that are integrable via substitutions similar to the Cole-Hopf substitution linearizing the Burgers equation. We use this new approach to find new integrable nonlinear evolution equations and their hierarchies.

Keywords

exactly integrable nonlinear equation Burgers-type equation Cole-Hopf substitution 

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Copyright information

© MAIK/Nauka 2009

Authors and Affiliations

  1. 1.Ulyanovsk State UniversityUlyanovskRussia

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