scholarly journals Exact solutions for the generalized nonlinear heat conduction equations using the exp-function method

2009 ◽  
Vol 58 (11-12) ◽  
pp. 2464-2467 ◽  
Author(s):  
Yi-Xin Wen ◽  
Xin-Wei Zhou
Keyword(s):  
Heat Conduction ◽  
Exact Solutions ◽  
Function Method ◽  
Nonlinear Heat Conduction

scholarly journals The Extended Hyperbolic Function Method for Generalized Forms of Nonlinear Heat Conduction and Huxley Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-16
Author(s):  
Yong Huang ◽  
Yadong Shang
Keyword(s):  
Heat Conduction ◽  
Exact Solutions ◽  
Function Method ◽  
Hyperbolic Function ◽  
Nonlinear Heat Conduction ◽  
Hyperbolic Function Method

The extended hyperbolic function method is used to derive abundant exact solutions for generalized forms of nonlinear heat conduction and Huxley equations. The extended hyperbolic function method provides abundant solutions in addition to the existing ones. Some previous results are supplemented and extended greatly.

Q-symmetry generators and exact solutions for nonlinear heat conduction

1994 ◽  
Vol 49 (5) ◽  
pp. 518-524 ◽  
Author(s):  
N Euler ◽  
A Köhler ◽  
W I Fushchich
Keyword(s):  
Heat Conduction ◽  
Exact Solutions ◽  
Nonlinear Heat Conduction ◽  
Symmetry Generators

Hamilton's Principle for a Set of Nonlinear Heat Conduction

2005 ◽  
Vol 12 (03) ◽  
pp. 239-248 ◽  
Author(s):  
Katalin Gambár ◽  
Ferenc Márkus
Keyword(s):  
Heat Conduction ◽  
Phase Space ◽  
Differential Equations ◽  
Function Method ◽  
The Other ◽  
Nonlinear Heat Conduction ◽  
Parabolic Differential Equations ◽  
Markovian Processes ◽  
Nonlinear Parabolic ◽  
New Phase

We calculate the Lagrangian for certain type of differential equations of nonlinear heat conduction, applying potential function method introduced previously. On the other hand, we point out that these kind of nonlinear parabolic differential equations describe Markovian processes in a new phase space.

Sign in / Sign up

Export Citation Format

Share Document