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

Autor:	Vaneeva, Olena, Pošta, Severin
Rok vydání:	2016
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics 35A30 35Q53 58J70
Zdroj:	Journal of Mathematical Physics (2017) 58, 101504
Druh dokumentu:	Working Paper
DOI:	10.1063/1.5004973
Popis:	We classify the admissible transformations in a class of variable coefficient Korteweg--de Vries equations. As a result, 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. Comment: 15 pages; minor corrrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1604.06880 Zobrazit plný text záznamu View this record from Arxiv