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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 088, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.088 (Mi sigma116) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Solvable Nonlinear Evolution PDEs in Multidimensional Space

Francesco Calogeroa, Matteo Sommacalbc

a Dipartimento di Fisica, Università di Roma "La Sapienza", Istituto Nazionale di Fisica Nucleare, Sezione di Roma, P.le Aldo Moro 2, 00185 Rome, Italy
b Laboratoire J.-L. Lions, Université Pierre et Marie Curie, Paris VI, 175 Rue du Chevaleret, 75013 Paris, France
c Dipartimento di Matematica, Università di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy
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DOI: https://doi.org/10.3842/SIGMA.2006.088
Abstract: A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of Klein–Gordon type. Isochronous variants of these evolution PDEs are also considered.
Keywords: nonlinear evolution PDEs in multidimensions; solvable PDEs; NLS-like equations; nonlinear Klein–Gordon-like equations; isochronicity.
Received: October 31, 2006; Published online December 8, 2006
Bibliographic databases:
Document Type: Article
MSC: 35G25; 35Q40; 37M05
Language: English
Citation: Francesco Calogero, Matteo Sommacal, “Solvable Nonlinear Evolution PDEs in Multidimensional Space”, SIGMA, 2 (2006), 088, 17 pp.
Citation in format AMSBIB
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\by Francesco Calogero, Matteo Sommacal
\paper Solvable Nonlinear Evolution PDEs in Multidimensional Space
\jour SIGMA
\yr 2006
\vol 2
\papernumber 088
\totalpages 17
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    • This publication is cited in the following 3 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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