Solutions to Non-Linear Reaction-Diffusion Equations in Two Space Dimensions

W. Strampp; W. - H. Steeb; W. Erig

doi:10.1143/ptp.68.731

Solutions to Non-Linear Reaction-Diffusion Equations in Two Space Dimensions

Progress of Theoretical Physics ◽

10.1143/ptp.68.731 ◽

1982 ◽

Vol 68 (3) ◽

pp. 731-743 ◽

Cited By ~ 7

Author(s):

W. Strampp ◽

W. - H. Steeb ◽

W. Erig

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Linear Reaction ◽

Non Linear ◽

Two Space Dimensions

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Singular Traveling Waves and Non-linear Reaction-Diffusion Equations

Computational Mathematics, Numerical Analysis and Applications - SEMA SIMAI Springer Series ◽

10.1007/978-3-319-49631-3_5 ◽

2017 ◽

pp. 189-194 ◽

Cited By ~ 1

Author(s):

Juan Calvo

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Linear Reaction ◽

Non Linear

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Analytical solution of system of coupled non-linear reaction diffusion equations. Part I: Mediated electron transfer at conducting polymer ultramicroelectrodes

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2010.06.013 ◽

2010 ◽

Vol 647 (2) ◽

pp. 103-116 ◽

Cited By ~ 5

Author(s):

A. Meena ◽

L. Rajendran

Keyword(s):

Electron Transfer ◽

Analytical Solution ◽

Conducting Polymer ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Mediated Electron Transfer ◽

Linear Reaction ◽

Non Linear

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A heuristic control strategy for non-linear reaction-diffusion equations

International Journal of Control ◽

10.1080/00207178608933480 ◽

1986 ◽

Vol 43 (2) ◽

pp. 473-483

Author(s):

J. I. RAMOS

Keyword(s):

Control Strategy ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Linear Reaction ◽

Non Linear

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Analytical solution of system of coupled non-linear reaction diffusion equations. Part II: Direct reaction of substrate at underlying microdisc surface

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2010.08.009 ◽

2010 ◽

Vol 650 (1) ◽

pp. 143-151 ◽

Cited By ~ 4

Author(s):

A. Meena ◽

L. Rajendran

Keyword(s):

Analytical Solution ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Direct Reaction ◽

Linear Reaction ◽

Non Linear

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Group classification of systems of non-linear reaction–diffusion equations with general diffusion matrix. I. Generalized Ginzburg–Landau equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.12.022 ◽

2006 ◽

Vol 324 (1) ◽

pp. 615-628 ◽

Cited By ~ 25

Author(s):

A.G. Nikitin

Keyword(s):

Reaction Diffusion ◽

Group Classification ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Diffusion Matrix ◽

Ginzburg Landau ◽

Linear Reaction ◽

Non Linear ◽

Ginzburg Landau Equations

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Construction of exact solutions in implicit form for PDEs: New functional separable solutions of non-linear reaction–diffusion equations with variable coefficients

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2019.02.005 ◽

2019 ◽

Vol 111 ◽

pp. 95-105 ◽

Cited By ~ 10

Author(s):

Andrei D. Polyanin

Keyword(s):

Exact Solutions ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Implicit Form ◽

Linear Reaction ◽

Non Linear

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Weiss approach to a pair of coupled non-linear reaction-diffusion equations

Physics Letters A ◽

10.1016/0375-9601(93)90680-x ◽

1993 ◽

Vol 179 (4-5) ◽

pp. 284-290 ◽

Cited By ~ 10

Author(s):

A.L. Larsen

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Linear Reaction ◽

Non Linear

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Group classification of systems of non-linear reaction–diffusion equations with general diffusion matrix. II. Generalized Turing systems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.10.032 ◽

2007 ◽

Vol 332 (1) ◽

pp. 666-690 ◽

Cited By ~ 24

Author(s):

A.G. Nikitin

Keyword(s):

Reaction Diffusion ◽

Group Classification ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Diffusion Matrix ◽

Linear Reaction ◽

Non Linear ◽

Turing Systems

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Approximate Solution of Non-Linear Reaction Diffusion Equations in Homogeneous Processes Coupled to Electrode Reactions for CE Mechanism at a Spherical Electrode

American Journal of Analytical Chemistry ◽

10.4236/ajac.2011.22010 ◽

2011 ◽

Vol 02 (02) ◽

pp. 93-103 ◽

Cited By ~ 3

Author(s):

A. Eswari ◽

S. Usha ◽

L. Rajendran

Keyword(s):

Approximate Solution ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Spherical Electrode ◽

Electrode Reactions ◽

Linear Reaction ◽

Non Linear

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Approximate analytical solution for non-linear reaction diffusion equations in a mono-enzymatic biosensor involving Michaelis–Menten kinetics

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2015.05.036 ◽

2015 ◽

Vol 751 ◽

pp. 119-127 ◽

Cited By ~ 8

Author(s):

O.M. Kirthiga ◽

L. Rajendran

Keyword(s):

Analytical Solution ◽

Approximate Analytical Solution ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Linear Reaction ◽

Non Linear ◽

Enzymatic Biosensor

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