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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 398, Pages 100–124
(Mi znsl5198)
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This article is cited in 4 scientific papers (total in 4 papers)
Moutard transformation and its application to some physical problems. I. The case of two independent variables
E. Sh. Gutshabash St. Petersburg State University, St. Petersburg, Russia
Abstract:
A general scheme of application of Moutard transformation to the partial differential of the second order with two independent variables is proposed. The realization of this scheme is given for the nonstationary Shrödinger equation and Fokker–Planck equation as well as wave equation and Helmholts equation.
Key words and phrases:
Moutar transformation, Darboux transformation, functional-differential equation, nonstationary Schrödinger equation, Fokker–Planck equation, Helmholz equation.
Received: 15.12.2011
Citation:
E. Sh. Gutshabash, “Moutard transformation and its application to some physical problems. I. The case of two independent variables”, Questions of quantum field theory and statistical physics. Part 22, Zap. Nauchn. Sem. POMI, 398, POMI, St. Petersburg, 2012, 100–124; J. Math. Sci. (N. Y.), 192:1 (2013), 57–69
Linking options:
https://www.mathnet.ru/eng/znsl5198 https://www.mathnet.ru/eng/znsl/v398/p100
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Abstract page: | 299 | Full-text PDF : | 91 | References: | 26 |
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