2019
DOI: 10.1016/j.physleta.2019.04.025
|View full text |Cite
|
Sign up to set email alerts
|

Non-autonomous Hénon-Heiles system from Painlevé class

Abstract: We show how to deform separable Hénon-Heiles system with isospectral Lax representation, related with the stationary flow of the 5th-order KdV, to respective non-autonomous systems of Painlevé type with isomonodromic Lax representation.

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
7
0

Year Published

2019
2019
2023
2023

Publication Types

Select...
3
1

Relationship

4
0

Authors

Journals

citations
Cited by 4 publications
(7 citation statements)
references
References 13 publications
0
7
0
Order By: Relevance
“…Actually, for the hierarchy generated by Hamiltonians (30), there is an infinitely many nonequivalent Lax representations. 24 Here we chose the one compatible with ( 17)- (20).…”
Section: Hamiltonian Representation Of the First Kdv Hierarchy Of Sta...mentioning
confidence: 99%
“…Actually, for the hierarchy generated by Hamiltonians (30), there is an infinitely many nonequivalent Lax representations. 24 Here we chose the one compatible with ( 17)- (20).…”
Section: Hamiltonian Representation Of the First Kdv Hierarchy Of Sta...mentioning
confidence: 99%
“…The second one is closely related with our further research program. Actually, it relies on deformation of autonomous Liouville integrable systems, with isospectral Lax representation, to non-autonomous Frobenius integrable systems (Painlevé systems in particular), with respective isomonodromic Lax representation [5]. In order to construct the isomonodromic Lax representation of deformed system the complete knowledge on related isospectral Lax representation is necessary.…”
Section: Examplesmentioning
confidence: 99%
“…20 (see also Ref. 21 for a simple illustration of this method). Their Lax representations will be derived in the next paper of the suite.…”
Section: Introductionmentioning
confidence: 99%