# 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

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topAnatoly 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 -

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