The Exact Solutions of a Class of the Nonlinear Diffusion Equations under the Generalized Conditional Symmetry

琼 吴

doi:10.12677/pm.2013.35044

The Exact Solutions of a Class of the Nonlinear Diffusion Equations under the Generalized Conditional Symmetry

Pure Mathematics ◽

10.12677/pm.2013.35044 ◽

2013 ◽

Vol 03 (05) ◽

pp. 289-294

Author(s):

琼吴

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Conditional Symmetry ◽

Nonlinear Diffusion Equations

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Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method

IMA Journal of Applied Mathematics ◽

10.1093/imamat/62.3.283 ◽

1999 ◽

Vol 62 (3) ◽

pp. 283-302 ◽

Cited By ~ 96

Author(s):

Q Changzheng

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Conditional Symmetry ◽

Nonlinear Diffusion Equations ◽

Symmetry Method

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Linearization of novel nonlinear diffusion equations with the Hilbert kernel and their exact solutions

Journal of Mathematical Physics ◽

10.1063/1.529134 ◽

1991 ◽

Vol 32 (1) ◽

pp. 120-126 ◽

Cited By ~ 9

Author(s):

Y. Matsuno

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Nonlinear Diffusion Equations ◽

Hilbert Kernel

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Complete and exact solutions of a class of nonlinear diffusion equations and problem of velocity selection

Physical Review E ◽

10.1103/physreve.56.r4931 ◽

1997 ◽

Vol 56 (5) ◽

pp. R4931-R4934 ◽

Cited By ~ 11

Author(s):

X. Y. Wang ◽

S. Fan ◽

T. Kyu

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Nonlinear Diffusion Equations ◽

Velocity Selection

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Exact solutions and generalized conditional symmetries to -dimensional nonlinear diffusion equations with source term

Physics Letters A ◽

10.1016/j.physleta.2005.06.013 ◽

2005 ◽

Vol 343 (1-3) ◽

pp. 139-147 ◽

Cited By ~ 19

Author(s):

Changzheng Qu ◽

Lina Ji ◽

Jihong Dou

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Source Term ◽

Diffusion Equations ◽

Nonlinear Diffusion Equations

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Exact solutions of nonlinear diffusion equations by variational iteration method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2006.12.077 ◽

2007 ◽

Vol 54 (7-8) ◽

pp. 1112-1121 ◽

Cited By ~ 28

Author(s):

A. Sadighi ◽

D.D. Ganji

Keyword(s):

Exact Solutions ◽

Iteration Method ◽

Nonlinear Diffusion ◽

Variational Iteration Method ◽

Diffusion Equations ◽

Nonlinear Diffusion Equations ◽

Variational Iteration

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Obliquely InteractingNTraveling Waves: Exact Solutions of Some Two-Dimensional Nonlinear Diffusion Equations

Journal of the Physical Society of Japan ◽

10.1143/jpsj.59.1 ◽

1990 ◽

Vol 59 (1) ◽

pp. 1-4 ◽

Cited By ~ 9

Author(s):

Youichi Murakami

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Nonlinear Diffusion Equations

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EXACT SOLUTIONS TO SOME NONLINEAR DIFFUSION EQUATIONS

The Quarterly Journal of Mechanics and Applied Mathematics ◽

10.1093/qjmam/42.4.537 ◽

1989 ◽

Vol 42 (4) ◽

pp. 537-552 ◽

Cited By ~ 16

Author(s):

J. R. KING

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Nonlinear Diffusion Equations

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Exact solutions to nonlinear diffusion equations obtained by the decomposition method

Applied Mathematics and Computation ◽

10.1016/s0096-3003(00)00064-3 ◽

2001 ◽

Vol 123 (1) ◽

pp. 109-122 ◽

Cited By ~ 40

Author(s):

Abdul-Majid Wazwaz

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Decomposition Method ◽

Diffusion Equations ◽

Nonlinear Diffusion Equations

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New exact solutions toN-dimensional radially symmetric nonlinear diffusion equations

International Journal of Theoretical Physics ◽

10.1007/bf02085772 ◽

1996 ◽

Vol 35 (12) ◽

pp. 2679-2685 ◽

Cited By ~ 4

Author(s):

Changzheng Qu

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Nonlinear Diffusion Equations ◽

New Exact Solutions

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Conditional Symmetry Groups of Nonlinear Diffusion Equations with x -Dependent Convection and Absorption

Communications in Theoretical Physics ◽

10.1088/0253-6102/41/2/231 ◽

2004 ◽

Vol 41 (2) ◽

pp. 231-234 ◽

Cited By ~ 5

Author(s):

Qu Chang-Zheng ◽

Zhang Shun-Li

Keyword(s):

Nonlinear Diffusion ◽

Diffusion Equations ◽

Symmetry Groups ◽

Conditional Symmetry ◽

Nonlinear Diffusion Equations

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