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Generalized Cole–Hopf Transformation Научная публикация

Журнал

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797

Вых. Данные

Год: 2018, Том: 12, Номер: 3, Страницы: 409-416 Страниц : 8 DOI: 10.1134/S199047891803002X

Ключевые слова

Cole–Hopf transformation; nonlinear parabolic equation

Авторы

Anikonov Y.E. ^1,2 , Neshchadim M.V. ^1,2

Организации

1	Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russian Federation

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. © 2018, Pleiades Publishing, Ltd.

Anikonov Y.E. , Neshchadim M.V.
Generalized Cole–Hopf Transformation
Journal of Applied and Industrial Mathematics. 2018. V.12. N3. P.409-416. DOI: 10.1134/S199047891803002X Scopus OpenAlex

Аниконов Ю.Е. , Нещадим М.В.
Обобщенное преобразование Коула-Хопфа
Сибирский журнал индустриальной математики. 2018. Т.21. №3. С.18-25. DOI: 10.17377/sibjim.2018.21.302

Scopus:	2-s2.0-85052055424
OpenAlex:	W2888504310

БД	Цитирований
Scopus	2
OpenAlex	2