Geodesic
Generalized Cole--Hopf transformation
Sibirskij žurnal industrialʹnoj matematiki, Tome 21 (2018) no. 3, pp. 18-25

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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.
Mots-clés : Cole–Hopf transformation
Keywords: nonlinear parabolic equation. 
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     author = {Yu. E. Anikonov and M. V. Neshchadim},
     title = {Generalized {Cole--Hopf} transformation},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     year = {2018},
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Yu. E. Anikonov; M. V. Neshchadim. Generalized Cole--Hopf transformation. Sibirskij žurnal industrialʹnoj matematiki, Tome 21 (2018) no. 3, pp. 18-25. http://geodesic.mathdoc.fr/item/SJIM_2018_21_3_a1/