MiniLogo

EqWorld

The World of Mathematical Equations

IPM Logo

Exact Solutions Methods Software For Authors Math Forums

EqArchive: Add Equation/Solution > View Equation

 English only

View Equation

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

Equation data
Category:4. Nonlinear Partial Differential Equations
Subcategory:4.2. Second-Order Quasilinear Hyperbolic Equations
Equation(s):\noindent
$\displaystyle \frac{\partial w}{\partial x}\frac{\partial w}{\partial z}\frac{\partial^2 w}{\partial t \, \partial y}  = \frac{\partial w}{\partial t}\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x \, \partial z} $
Solution(s),
Transformation(s),
Integral(s)
:
\noindent
Particular solutions:\hfill\break
$\displaystyle  w(t,x,y,z) = F(G(t,x),H(y,z))$,\hfill\break

$\displaystyle  w(t,x,y,z) = S(G(t,x)+F(t,z)+K(x,y)+H(y,z))$,\hfill\break


where $F$, $G$, $H$ and $K$ are arbitrary functions of two arguments, $S$ is an arbitrary function of one argument.
Novelty:New equation(s) & solution(s) / integral(s)
Author/Contributor's Details
Last name:Kosovtsov
First name:Yurii
Country:Ukraine
City:Lvov
Statistic information
Submission date:Wed 01 Aug 2007 10:29
Edits by author:1
Last edit by author:Wed 15 Aug 2007 11:50

Edit (Only for author/contributor)


The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.

Copyright © 2006-2011 Andrei D. Polyanin, Alexei I. Zhurov and Alexander L. Levitin