Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems

Result code in IS VaVaI

RIV/47813059:19610/14:#0000446 - isvavai.cz

Result on the web

http://www.tandfonline.com/doi/abs/10.1080/14029251.2014.975532

DOI - Digital Object Identifier

10.1080/14029251.2014.975532

Result language

angličtina

Original language name

Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems

Original language description

We present a complete description of 2-dimensional equations that arise as symmetry reductions of four 3- dimensional Lax-integrable equations: (1) the universal hierarchy equation u(yy) = u(z)u(xy)- u(y)u(xz); (2) the 3D rdDym equation u(ty) = u(x)u(xy)- u(y)u(xx); (3) the equation u(ty) = u(t)u(xy)- u(y)u(tx), which we call modified Veronese web equation; (4) Pavlov's equation u(yy) = u(tx) + u(y)u(xx)- u(x)u(xy).

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

EE2.3.20.0002: Development of Research Capacities of the Mathematical Institute in Opava

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Nonlinear Mathematical Physics

ISSN

1402-9251

e-ISSN

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Volume of the periodical

21

Issue of the periodical within the volume

4

Country of publishing house

GB - UNITED KINGDOM

Number of pages

29

Pages from-to

643-671

UT code for WoS article

000344240300009

EID of the result in the Scopus database

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