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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 158, Number 1, Pages 58–71
DOI: https://doi.org/10.4213/tmf6299 (Mi tmf6299) 		 
This article is cited in 14 scientific papers (total in 14 papers)

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

V. M. Zhuravlev

Ulyanovsk State University
Full-text PDF (418 kB) Citations (14)
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DOI: https://doi.org/10.4213/tmf6299
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
English version:
Theoretical and Mathematical Physics, 2009, Volume 158, Issue 1, Pages 48–60
DOI: https://doi.org/10.1007/s11232-009-0004-8
Bibliographic databases:
Language: Russian
Citation: V. M. Zhuravlev, “The method of generalized Cole–Hopf substitutions and new examples of linearizable nonlinear evolution equations”, TMF, 158:1 (2009), 58–71; Theoret. and Math. Phys., 158:1 (2009), 48–60
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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