HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Explicit travelling waves and invariant algebraic curves

Abstract : We introduce a precise definition of algebraic travelling wave solution of n-th order partial differential equations and prove that the only algebraic travelling waves solutions for the celebrated Fisher–Kolmogorov equation are the ones found in 1979 by Ablowitz and Zeppetella. This question is equivalent to study when an associated one-parameter family of planar ordinary differential systems has invariant algebraic curves.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-01170552
Contributor : Hector Giacomini Connect in order to contact the contributor
Submitted on : Wednesday, July 1, 2015 - 4:58:36 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM

Identifiers

Collections

Citation

Gasull Armengol, Giacomini Hector. Explicit travelling waves and invariant algebraic curves. Nonlinearity, IOP Publishing, 2015, 28, pp.1597-1606. ⟨10.1088/0951-7715/28/6/1597⟩. ⟨hal-01170552⟩

Share

Metrics

Record views

52