Solitary wave and other solutions for nonlinear heat equations

• Autorzy: Anatoly Nikitin , Tetyana Barannyk
• Języki publikacji: EN

Abstrakty

EN

A number of explicit solutions for the heat equation with a polynomial non-linearity and for the Fisher equation is presented. An extended class of non-linear heat equations admitting solitary wave solutions is described. The generalization of the Fisher equation is proposed whose solutions propagate with arbitrary ad hoc fixed velocity.

Słowa kluczowe

EN

Exact solutions; Fisher equation; Kolmogorov-Petrovskii-Piskunov equation; conditional symmetry; 35K55; 35Q51; 35Q80

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 5
• Strony: 840-858

Daty

wydano

2004-10-01

online

2004-10-01

Twórcy

autor

Anatoly Nikitin

• National Academy of Sciences

autor

Tetyana Barannyk

• National Academy of Sciences

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475981