Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F19%3AA0000070" target="_blank" >RIV/47813059:19610/19:A0000070 - isvavai.cz</a>
Result on the web
<a href="https://www.taylorfrancis.com/chapters/contact-lax-pairs-associated-3-1-dimensional-integrable-dispersionless-systems-maciej-b%C5%82aszak-artur-sergyeyev/e/10.1201/9780429263743-2" target="_blank" >https://www.taylorfrancis.com/chapters/contact-lax-pairs-associated-3-1-dimensional-integrable-dispersionless-systems-maciej-b%C5%82aszak-artur-sergyeyev/e/10.1201/9780429263743-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1201/9780429263743-2" target="_blank" >10.1201/9780429263743-2</a>
Alternative languages
Result language
angličtina
Original language name
Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems
Original language description
We review the recent approach to the construction of (3+1)-dimensional integrable dispersionless partial differential systems based on their contact Lax pairs and the related R-matrix theory for the Lie algebra of functions with respect to the contact bracket. We discuss various kinds of Lax representations for such systems, in particular, linear nonisospectral contact Lax pairs and nonlinear contact Lax pairs as well as the relations among the two. Finally, we present a large number of examples with finite and infinite number of dependent variables, as well as the reductions of these examples to lower-dimensional integrable dispersionless systems.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Nonlinear Systems and Their Remarkable Mathematical Structures
ISBN
9780367208479
Number of pages of the result
30
Pages from-to
29-58
Number of pages of the book
540
Publisher name
Chapman and Hall/CRC
Place of publication
Boca Raton
UT code for WoS chapter
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