Generalized Cole–Hopf Transformation

Standard

Generalized Cole–Hopf Transformation. / Anikonov, Yu E.; Neshchadim, M. V.

In: Journal of Applied and Industrial Mathematics, Vol. 12, No. 3, 01.07.2018, p. 409-416.

Research output: Contribution to journal › Article › peer-review

Harvard

Anikonov, YE & Neshchadim, MV 2018, 'Generalized Cole–Hopf Transformation', Journal of Applied and Industrial Mathematics, vol. 12, no. 3, pp. 409-416. https://doi.org/10.1134/S199047891803002X

APA

Anikonov, Y. E., & Neshchadim, M. V. (2018). Generalized Cole–Hopf Transformation. Journal of Applied and Industrial Mathematics, 12(3), 409-416. https://doi.org/10.1134/S199047891803002X

Vancouver

Anikonov YE, Neshchadim MV. Generalized Cole–Hopf Transformation. Journal of Applied and Industrial Mathematics. 2018 Jul 1;12(3):409-416. doi: 10.1134/S199047891803002X

Author

Anikonov, Yu E. ; Neshchadim, M. V. / Generalized Cole–Hopf Transformation. In: Journal of Applied and Industrial Mathematics. 2018 ; Vol. 12, No. 3. pp. 409-416.

BibTeX

@article{8edbe24f2c1142b88e4169e6ff083855,

title = "Generalized Cole–Hopf Transformation",

abstract = "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.",

keywords = "Cole–Hopf transformation, nonlinear parabolic equation",

author = "Anikonov, {Yu E.} and Neshchadim, {M. V.}",

note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",

year = "2018",

month = jul,

day = "1",

doi = "10.1134/S199047891803002X",

language = "English",

volume = "12",

pages = "409--416",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - Generalized Cole–Hopf Transformation

AU - Anikonov, Yu E.

AU - Neshchadim, M. V.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - 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.

AB - 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.

KW - Cole–Hopf transformation

KW - nonlinear parabolic equation

UR - http://www.scopus.com/inward/record.url?scp=85052055424&partnerID=8YFLogxK

U2 - 10.1134/S199047891803002X

DO - 10.1134/S199047891803002X

M3 - Article

AN - SCOPUS:85052055424

VL - 12

SP - 409

EP - 416

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 3

ER -

ID: 16265881