Solitary wave and other solutions for nonlinear heat equations

Anatoly Nikitin; Tetyana Barannyk

Open Mathematics (2004)

  • Volume: 2, Issue: 5, page 840-858
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Anatoly Nikitin, and Tetyana Barannyk. "Solitary wave and other solutions for nonlinear heat equations." Open Mathematics 2.5 (2004): 840-858. <http://eudml.org/doc/268807>.

@article{AnatolyNikitin2004,
abstract = {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.},
author = {Anatoly Nikitin, Tetyana Barannyk},
journal = {Open Mathematics},
keywords = {35K55; 35Q51; 35Q80},
language = {eng},
number = {5},
pages = {840-858},
title = {Solitary wave and other solutions for nonlinear heat equations},
url = {http://eudml.org/doc/268807},
volume = {2},
year = {2004},
}

TY - JOUR
AU - Anatoly Nikitin
AU - Tetyana Barannyk
TI - Solitary wave and other solutions for nonlinear heat equations
JO - Open Mathematics
PY - 2004
VL - 2
IS - 5
SP - 840
EP - 858
AB - 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.
LA - eng
KW - 35K55; 35Q51; 35Q80
UR - http://eudml.org/doc/268807
ER -

References

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