Novel hybrid Ermakov–Painlevé IV systems are introduced and an associated Ermakov invariant is used in establishing their integrability. Bäcklund transformations are then employed to generate classes of exact solutions via the linked canonical Painlevé IV equation.
History
Publication title
Journal of Mathematical Analysis and Applications
Volume
462
Pagination
1225-1241
ISSN
0022-247X
Department/School
School of Natural Sciences
Publisher
Academic Press Inc Elsevier Science
Place of publication
525 B St, Ste 1900, San Diego, USA, Ca, 92101-4495