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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F14%3A%230000446" target="_blank" >RIV/47813059:19610/14:#0000446 - isvavai.cz</a>
Result on the web
<a href="http://www.tandfonline.com/doi/abs/10.1080/14029251.2014.975532" target="_blank" >http://www.tandfonline.com/doi/abs/10.1080/14029251.2014.975532</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/14029251.2014.975532" target="_blank" >10.1080/14029251.2014.975532</a>

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<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/EE2.3.20.0002" target="_blank" >EE2.3.20.0002: Development of Research Capacities of the Mathematical Institute in Opava</a><br>
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

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