A three-parameter group similarity solution for a one dimensional nonlinear diffusion equation

Physica Scripta ◽

10.1088/0031-8949/41/2/001 ◽

1990 ◽

Vol 41 (2) ◽

pp. 193-196 ◽

Author(s):

Sergio M Waller

Keyword(s):

Diffusion Equation ◽

Similarity Solution ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Parameter Group ◽

One Dimensional ◽

Group Similarity

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A similarity solution to a nonlinear diffusion equation of the singular type: a uniformly valid solution by perturbations

Quarterly of Applied Mathematics ◽

10.1090/qam/530666 ◽

1979 ◽

Vol 37 (1) ◽

pp. 11-21 ◽

Author(s):

D. K. Babu ◽

M. Th. van Genuchten

Keyword(s):

Diffusion Equation ◽

Similarity Solution ◽

Nonlinear Diffusion ◽

Type A ◽

Nonlinear Diffusion Equation ◽

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Analytical solutions to the one-dimensional nonlinear diffusion equation for flow through porous media

Water Resources Research ◽

10.1029/wr009i005p01378 ◽

1973 ◽

Vol 9 (5) ◽

pp. 1378-1384 ◽

Author(s):

Allen F. Moench

Keyword(s):

Porous Media ◽

Diffusion Equation ◽

Analytical Solutions ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Flow Through Porous Media ◽

One Dimensional ◽

Flow Through ◽

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Neurobiological Models of Two-Choice Decision Making Can Be Reduced to a One-Dimensional Nonlinear Diffusion Equation

PLoS Computational Biology ◽

10.1371/journal.pcbi.1000046 ◽

2008 ◽

Vol 4 (3) ◽

pp. e1000046 ◽

Author(s):

Alex Roxin ◽

Anders Ledberg

Keyword(s):

Decision Making ◽

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

One Dimensional ◽

Choice Decision

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Statistical problems connected with the one‐dimensional nonlinear diffusion equation

The Journal of the Acoustical Society of America ◽

10.1121/1.1919776 ◽

1974 ◽

Vol 55 (S1) ◽

pp. S50-S50 ◽

Author(s):

J. M. Burgers

Keyword(s):

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

One Dimensional ◽

Statistical Problems ◽

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Liquid Instability and Freezing. II. Multi-Mode One Dimensional Analysis of a Nonlinear Diffusion Equation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.45.749 ◽

1978 ◽

Vol 45 (3) ◽

pp. 749-757 ◽

Author(s):

Toyonori Munakata

Keyword(s):

Diffusion Equation ◽

Dimensional Analysis ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

One Dimensional ◽

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Comparison Theorems and Similarity Solution Approximations for a Nonlinear Diffusion Equation Arising in the Study of Soft Tissue

SIAM Journal on Applied Mathematics ◽

10.1137/0144037 ◽

1984 ◽

Vol 44 (3) ◽

pp. 545-556 ◽

Author(s):

Mark H. Holmes

Keyword(s):

Soft Tissue ◽

Diffusion Equation ◽

Similarity Solution ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Comparison Theorems

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New exact solutions of the one-dimensional nonlinear diffusion equation

Siberian Mathematical Journal ◽

10.1007/bf02673043 ◽

1997 ◽

Vol 38 (5) ◽

pp. 978-987 ◽

Author(s):

G. A. Rudykh ◽

È. I. Semënov

Keyword(s):

Diffusion Equation ◽

Exact Solutions ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

One Dimensional ◽

New Exact Solutions ◽

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Isogroup and 'general' similarity solution of a nonlinear diffusion equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/23/7/012 ◽

1990 ◽

Vol 23 (7) ◽

pp. 1035-1040 ◽

Author(s):

S M Waller

Keyword(s):

Diffusion Equation ◽

Similarity Solution ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

General Similarity

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Blow-up of sign-changing solutions for a one-dimensional nonlinear diffusion equation

Nonlinear Analysis ◽

10.1016/j.na.2019.03.011 ◽

2019 ◽

Vol 185 ◽

pp. 193-205 ◽

Author(s):

Eiji Yanagida

Keyword(s):

Diffusion Equation ◽

Nonlinear Diffusion ◽

Blow Up ◽

Nonlinear Diffusion Equation ◽

One Dimensional ◽

Sign Changing Solutions

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Statistical problems connected with asymptotic solutions of the one-dimensional nonlinear diffusion equation

Statistical Models and Turbulence - Lecture Notes in Physics ◽

10.1007/3-540-05716-1_3 ◽

1972 ◽

pp. 41-60 ◽

Author(s):

J. M. Burgers

Keyword(s):

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Asymptotic Solutions ◽

One Dimensional ◽

Statistical Problems ◽

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