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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 010, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.010 (Mi sigma991) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables

Bernd Fritzschea, Bernd Kirsteina, Inna Ya. Roitberga, Alexander L. Sakhnovichb

a Fakultät für Mathematik und Informatik, Universität Leipzig, Augustusplatz 10, D-04009 Leipzig, Germany
b Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, A-1090 Vienna, Austria
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DOI: https://doi.org/10.3842/SIGMA.2015.010
Abstract: Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schrödinger equations depending on two variables and of nonlinear wave equations depending on three variables.
Keywords: Bäcklund–Darboux transformation; matrix identity; $S$-node; $S$-multinode; explicit solution; non-stationary Dirac equation; non-stationary Schrödinger equation; Loewner system; pseudo-exponential-type potential; integrable nonlinear equations.
Received: September 4, 2014; in final form January 23, 2015; Published online January 29, 2015
Bibliographic databases:
Document Type: Article
MSC: 35C08; 35Q41; 15A24
Language: English
Citation: Bernd Fritzsche, Bernd Kirstein, Inna Ya. Roitberg, Alexander L. Sakhnovich, “Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables”, SIGMA, 11 (2015), 010, 13 pp.
Citation in format AMSBIB
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\paper Pseudo-Exponential-Type Solutions of Wave Equations Depending on~Several Variables
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\papernumber 010
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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