Equivalence groupoid of a class of general Burgers-Korteweg-de Vries equations with space-dependent coefficients
We describe the equivalence groupoid of the class of general Burgers - Korteweg - de Vries equations with space-dependent coefficients. This class is shown to reduce by a family of equivalence transformations to a subclass whose usual equivalence group is four-dimensional. Classified are admissible...
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Zusammenfassung: | We describe the equivalence groupoid of the class of general Burgers -
Korteweg - de Vries equations with space-dependent coefficients. This class is
shown to reduce by a family of equivalence transformations to a subclass whose
usual equivalence group is four-dimensional. Classified are admissible
transformations of this subclass and singled out are its subclasses admitting
maximal nontrivial conditional equivalence groups. All of them turn out to have
dimension higher than four. In particular, a few new examples of nontrivial
cases of normalization in the generalized sense of classes of differential
equations appeared this way. |
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DOI: | 10.48550/arxiv.1909.00036 |