Lie reductions and exact solutions of dispersionless Nizhnik equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F24%3AA0000169" target="_blank" >RIV/47813059:19610/24:A0000169 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s13324-024-00925-y" target="_blank" >https://link.springer.com/article/10.1007/s13324-024-00925-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13324-024-00925-y" target="_blank" >10.1007/s13324-024-00925-y</a>
Alternative languages
Result language
angličtina
Original language name
Lie reductions and exact solutions of dispersionless Nizhnik equation
Original language description
We exhaustively classify the Lie reductions of the real dispersionless Nizhnik equation to partial differential equations in two independent variables and to ordinary differential equations. Lie and point symmetries of reduced equations are comprehensively studied, including the analysis of which of them correspond to hidden symmetries of the original equation. If necessary, associated Lie reductions of a nonlinear Lax representation of the dispersionless Nizhnik equation are carried out as well. As a result, we construct wide families of new invariant solutions of this equation in explicit form in terms of elementary, Lambert and hypergeometric functions as well as in parametric or implicit form. We show that Lie reductions to algebraic equations lead to no new solutions of this equation in addition to the constructed ones. Multiplicative separation of variables is used for illustrative construction of non-invariant solutions.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Analysis and Mathematical Physics
ISSN
1664-2368
e-ISSN
1664-235X
Volume of the periodical
14
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
56
Pages from-to
„82-1“-„82-56“
UT code for WoS article
001262985900001
EID of the result in the Scopus database
2-s2.0-85197552487