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

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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.

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Authors and Affiliations

  1. Ulyanovsk State University, Ulyanovsk, Russia

    V. M. Zhuravlev

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  1. V. M. Zhuravlev
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Correspondence to V. M. Zhuravlev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 158, No. 1, pp. 58–71, January, 2009

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Zhuravlev, V.M. The method of generalized Cole-Hopf substitutions and new examples of linearizable nonlinear evolution equations. Theor Math Phys 158, 48–60 (2009). https://doi.org/10.1007/s11232-009-0004-8

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  • DOI: https://doi.org/10.1007/s11232-009-0004-8

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