publication . Preprint . 2014

Differential-algebraic solutions of the heat equation

Buchstaber, Victor M.; Netay, Elena Yu.;
Open Access English
  • Published: 05 May 2014
Abstract
Comment: 11 pages, 6 figures
Subjects
arXiv: Nonlinear Sciences::Exactly Solvable and Integrable Systems
free text keywords: Mathematical Physics, Mathematics - Dynamical Systems
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[1] E. Yu. Bunkova, V. M. Buchstaber, Polynomial Dynamical Systems and Ordinary Di erential Equations Associated with the Heat Equation, Funct. Anal. Appl., 46:3 (2012), 173{190.

[2] E. Yu. Bunkova, V. M. Buchstaber, Heat Equations and Families of Two-Dimensional Sigma Functions, Proc. Steklov Inst. Math., 266 (2009), 1{28.

[3] E. Hopf, The partial di erential equation ut + uux = uxx, Comm. Pure Appl. Math., 3:3 (1950), 201{230.

[4] H. Bateman, A. Erdelyi, Higher transcendental functions. Vol. 1, 1953. [OpenAIRE]

[5] D. Mumford, Tata Lectures on Theta I, II, Birkhauser, Boston-Basel-Stuttgart, 1983-1984.

Steklov Institute of Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia. E-mail address: bunkova@mi.ras.ru (E.Yu.Netay), buchstab@mi.ras.ru (V.M.Buchstaber)

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