Equivalence groupoid of a class of variable coefficient Korteweg-de Vries equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00313931" target="_blank" >RIV/68407700:21340/17:00313931 - isvavai.cz</a>
Result on the web
<a href="http://scitation.aip.org/content/aip/journal/jmp/58/10/10.1063/1.5004973" target="_blank" >http://scitation.aip.org/content/aip/journal/jmp/58/10/10.1063/1.5004973</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5004973" target="_blank" >10.1063/1.5004973</a>

Result language
angličtina
Original language name
Equivalence groupoid of a class of variable coefficient Korteweg-de Vries equations
Original language description
We classify the admissible transformations in a class of variable coefficient Korteweg–de Vries equations. As a result, a full description of the structure of the equivalence groupoid of the class is given. The class under study is partitioned into six disjoint normalized subclasses. The widest possible equivalence group for each subclass is found which appears to be generalized extended in five cases. Ways for improvement of transformational properties of the subclasses are proposed using gaugings of arbitrary elements and mapping between classes. The group classification of one of the subclasses is carried out as an illustrative example.
Czech name
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Czech description
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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

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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