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arXiv · 1308.5126

Equivalence transformations in the study of integrability

Olena O. Vaneeva·Roman O. Popovych·Christodoulos Sophocleous
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Abstract

We discuss how point transformations can be used for the study of integrability, in particular, for deriving classes of integrable variable-coefficient differential equations. The procedure of finding the equivalence groupoid of a class of differential equations is described and then specified for the case of evolution equations. A class of fifth-order variable-coefficient KdV-like equations is studied within the framework suggested.

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Olena O. Vaneeva, Roman O. Popovych, Christodoulos Sophocleous. 2013-11-25. Equivalence transformations in the study of integrability. https://doi.org/10.1088/0031-8949%2F89%2F03%2F038003

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