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 original | Anglès |
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Pàgines (de-a) | 1597-1606 |
Revista | Nonlinearity |
Volum | 28 |
Número | 6 |
DOIs | |
Estat de la publicació | Publicada - 1 de juny 2015 |