Explicit travelling waves and invariant algebraic curves

Armengol Gasull, Hector Giacomini

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Resum

© 2015 IOP Publishing Ltd & London Mathematical Society. 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.
Idioma originalAnglès
Pàgines (de-a)1597-1606
RevistaNonlinearity
Volum28
Número6
DOIs
Estat de la publicacióPublicada - 1 de juny 2015

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