Generalized Cole–Hopf Transformation

Yu E. Anikonov, M. V. Neshchadim

Research output: Contribution to journalArticlepeer-review


On the basis of generalization of the Cole–Hopf transformation for parabolic equations with a source, we obtain some new representations of solutions and coefficients of nonlinear parabolic equations of mathematical physics which in fact are differential-algebraic identities. These representations can be used in studying the multidimensional direct and inverse problems.

Original languageEnglish
Pages (from-to)409-416
Number of pages8
JournalJournal of Applied and Industrial Mathematics
Issue number3
Publication statusPublished - 1 Jul 2018


  • Cole–Hopf transformation
  • nonlinear parabolic equation


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