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List of Equations

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

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Found 327 equations, 33 pages (10 eqs. per page): << 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 >>
 CategoryEquation(s)Author/
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271 4. Nonlinear Partial Differential Equations
4.7. Systems of Two Equations
$u_t=ax^{-n}(x^nu_x)_x+uf_1(w/u)+wg_1(w/u)$,\\
$w_t=ax^{-n}(x^nw_x)_x+uf_2(w/u)+wg_2(w/u)$. Elena Vyazmina
Submitted: 25 Jan 08 12:24
Edited (admin): 28 Jan 08 11:33
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272 4. Nonlinear Partial Differential Equations
4.7. Systems of Two Equations
$u_t=[f(w/u)u_x]_x+ug_1(w/u)+wh_1(w/u)$, \\
$w_t=[f(w/u)w_x]_x+ug_2(w/u)+wh_2(w/u)$. Elena Vyazmina
Submitted: 25 Jan 08 12:25
Edited (admin): 28 Jan 08 11:37
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273 4. Nonlinear Partial Differential Equations
4.7. Systems of Two Equations
$$
\begin{array}[c]{ll} \vspace{0.1cm}
F_1\left(w,\cfrac{\partial w}{\partial x},\dots,\cfrac{\partial^m
w}{\partial x^m},\cfrac{1}{u^k}\,\cfrac{\partial w}{\partial t}
,\cfrac 1u\,\cfrac{\partial u}{\partial x} ,\dots,\cfrac
1u\,\cfrac{\partial^n w}{\partial x^n}\right)=0,\cr
F_2\left(w,\cfrac{\partial w}{\partial x},\dots,\cfrac{\partial^m
w}{\partial x^m},\cfrac{1}{u^k}\,\cfrac{\partial w}{\partial
t},\cfrac 1u\,\cfrac{\partial u}{\partial x},\dots,\cfrac
1u\,\cfrac{\partial^n u}{\partial x^n}\right)=0.
\end{array}
$$ Elena Vyazmina
Submitted: 25 Jan 08 12:26
Edited (admin): 28 Jan 08 11:40
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274 4. Nonlinear Partial Differential Equations
4.7. Systems of Two Equations
$u_x=auw^n$,\\
$w_t=bu^k$. Elena Vyazmina
Submitted: 22 Sep 07 11:20
Edited (admin): 29 Jan 08 15:32
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275 4. Nonlinear Partial Differential Equations
4.7. Systems of Two Equations
$u_x=u^mf(w)$,\\
$w_t=u^kg(w)$. Elena Vyazmina
Submitted: 22 Sep 07 22:54
Edited (admin): 29 Jan 08 15:33
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276 4. Nonlinear Partial Differential Equations
4.7. Systems of Two Equations
$u_x=au^2+buw+cu$,\\
$w_t=u.$ Elena Vyazmina
Submitted: 22 Sep 07 23:52
Edited (admin): 29 Jan 08 15:34
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277 4. Nonlinear Partial Differential Equations
4.7. Systems of Two Equations
$u_x =aue^{\lambda w}$,\\
$w_t =bu^k.$ Elena Vyazmina
Submitted: 23 Sep 07 00:56
Edited (admin): 29 Jan 08 15:35
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278 4. Nonlinear Partial Differential Equations
4.7. Systems of Two Equations
$u_x=au^{k+1}+buw+cu$,\\
$w_t=su^k.$ Elena Vyazmina
Submitted: 23 Sep 07 10:35
Edited (admin): 29 Jan 08 15:37
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279 4. Nonlinear Partial Differential Equations
4.7. Systems of Two Equations
$u_x=f(a_1u+b_1w)$,\\
$w_t=g(a_2u+b_2w)$. Elena Vyazmina
Submitted: 22 Sep 07 23:14
Edited (admin): 29 Jan 08 15:39
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280 4. Nonlinear Partial Differential Equations
4.7. Systems of Two Equations
$u_x=uf(w)$,\\
$w_t=u^kg(w).$ Elena Vyazmina
Submitted: 23 Sep 07 10:14
Edited (admin): 29 Jan 08 15:40
Details
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Found 327 equations, 33 pages (10 eqs. per page): << 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 >>

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