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View Equation

The database contains 327 equations (8 equations are awaiting activation).

Equation data
Category:4. Nonlinear Partial Differential Equations
Subcategory:4.7. Systems of Two Equations
Equation(s):$u_x=au^{k+1}+buw+cu$,\\
$w_t=su^k.$
Solution(s),
Transformation(s),
Integral(s)
:
Solution:\hfill\break
$\displaystyle w=s\varphi(x)e^{-\frac ba t}+\frac sb[\ln\varphi(x)]'_x-
\frac {cs}{b},\quad \ 
u=\left[-\frac ba \varphi(x)e^{-\frac ba t}\right]^{1/k},$\hfill\break
where $\varphi(x)$ is an arbitrary function.
Novelty:New solution(s) / integral(s)
Author/Contributor's Details
Last name:Vyazmina
First name:Elena
Country:Russia
City:Moscow
Affiliation:Institute for Problems in Mechanics
Statistic information
Submission date:Sun 23 Sep 2007 10:35
Edits by author:0

Edit (Only for author/contributor)


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