This article is cited in 15 papers

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

V. M. Zhuravlev

Ulyanovsk State University

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.

Received: 11.09.2007
Revised: 25.06.2008

DOI: 10.4213/tmf6299

 English version: Theoretical and Mathematical Physics, 2009, 158:1, 48–60

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