True contact transformations admitted by a class of non-linear wave equations

Momoniat, E.

doi:10.1016/s0020-7462(00)00037-8

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2003

2015

Publication Types

Select...

Article5

Other1

Relationship

Self Cite0

Independent6

Authors

Journals

Cited by 6 publications

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Contact symmetries of evolution equations are dealt with in [15,17,30,31]. Contact transformations of Fokker-Planck [27], wave [8,18,19] and hyperbolic equations [20] are investigated and classified. They have also been used in [26] to obtain pseudoinvariant solutions of second-order PDEs.…”

Section: Introductionmentioning

confidence: 99%

On contact symmetries of evolution equations

Huang¹,

Zhdanov²,

Qu³

2013

Preprint

View full text Add to dashboard Cite

In this paper, we develop an algebraic approach to classifying contact symmetries of the second-order nonlinear evolution equations. Up to contact isomorphisms, all inequivalent PDEs admitting semi-simple algebras, solvable algebras of dimension n ≤ 4, and algebras having nontrivial Levi factors, belonging to the class under consideration, and corresponding contact symmetries they admitted are listed.

show abstract