Solvable Nonlinear Evolution PDEs in Multidimensional Space

Francesco Calogero; Matteo Sommacal

doi:10.3842/SIGMA.2006.088

Solvable Nonlinear Evolution PDEs in Multidimensional Space

Francesco Calogero, Matteo Sommacal

Mathematics, Physics and Electrical Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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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.

Original language	English
Pages (from-to)	1-17
Journal	Symmetry, Integrability and Geometry: Methods and Applications
Volume	2
Issue number	88
DOIs	https://doi.org/10.3842/SIGMA.2006.088
Publication status	Published - 2006

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title = "Solvable Nonlinear Evolution PDEs in Multidimensional Space",

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 Schr{\"o}dinger 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",

author = "Francesco Calogero and Matteo Sommacal",

year = "2006",

doi = "10.3842/SIGMA.2006.088",

language = "English",

volume = "2",

pages = "1--17",

journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",

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publisher = "Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine",

number = "88",

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T1 - Solvable Nonlinear Evolution PDEs in Multidimensional Space

AU - Calogero, Francesco

AU - Sommacal, Matteo

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - nonlinear evolution PDEs in multidimensions

KW - solvable PDEs

KW - NLS-like equations

KW - nonlinear Klein-Gordon-like equations

KW - isochronicity

UR - http://arxiv.org/abs/nlin.SI/0612019

U2 - 10.3842/SIGMA.2006.088

DO - 10.3842/SIGMA.2006.088

M3 - Article

VL - 2

SP - 1

EP - 17

JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SN - 1815-0659

IS - 88

ER -

Solvable Nonlinear Evolution PDEs in Multidimensional Space

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