Solvable Nonlinear Evolution PDEs in Multidimensional Space

Solvable Nonlinear Evolution PDEs in Multidimensional Space

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 conside...

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Bibliographic Details
Main Authors: Francesco Calogero, Matteo Sommacal
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2006-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
nonlinear evolution PDEs in multidimensions
solvable PDEs
NLS-like equations
nonlinear Klein-Gordon-like equations
isochronicity
Online Access:http://www.emis.de/journals/SIGMA/2006/Paper088/
Description
Summary: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.
ISSN:1815-0659

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