-
1
-
-
0037098630
-
On the determining equations for the nonclassical reductions of the heat and Burgers' equation
-
Arrigo D.J., Hickling F. On the determining equations for the nonclassical reductions of the heat and Burgers' equation. J. Math. Anal. Appl. 2002, 270:582-589.
-
(2002)
J. Math. Anal. Appl.
, vol.270
, pp. 582-589
-
-
Arrigo, D.J.1
Hickling, F.2
-
2
-
-
0000478462
-
The general similarity solution of the heat equation
-
Bluman G.W., Cole J.D. The general similarity solution of the heat equation. J. Math. Phys. 1969, 18:1025-1042.
-
(1969)
J. Math. Phys.
, vol.18
, pp. 1025-1042
-
-
Bluman, G.W.1
Cole, J.D.2
-
4
-
-
0038349353
-
Nonlinear systems of the Burgers-type equations: Lie and Q-conditional symmetries, Ansätze and solutions
-
Cherniha R., Serov M. Nonlinear systems of the Burgers-type equations: Lie and Q-conditional symmetries, Ansätze and solutions. J. Math. Anal. 2003, 282:305-328.
-
(2003)
J. Math. Anal.
, vol.282
, pp. 305-328
-
-
Cherniha, R.1
Serov, M.2
-
5
-
-
11544269679
-
Q-conditional symmetry of the linear heat equation
-
Fushchych W.I., Shtelen W.M., Serov M.I., Popowych R.O. Q-conditional symmetry of the linear heat equation. Dokl. Akad. Nauk Ukrainy 1992, 170(12):28-33.
-
(1992)
Dokl. Akad. Nauk Ukrainy
, vol.170
, Issue.12
, pp. 28-33
-
-
Fushchych, W.I.1
Shtelen, W.M.2
Serov, M.I.3
Popowych, R.O.4
-
8
-
-
51649166427
-
Continuous and discrete Burgers' hierarchies
-
Levi D., Ragnisco O., Bruschi M. Continuous and discrete Burgers' hierarchies. Nuovo Cimento B 1983, 742:33-51.
-
(1983)
Nuovo Cimento B
, vol.742
, pp. 33-51
-
-
Levi, D.1
Ragnisco, O.2
Bruschi, M.3
-
9
-
-
0000185791
-
Klassifikation und Integration von gewohnlichen Differentialgleichen zwischen x, y die eine Gruppe von Transformationen gestatten
-
Lie S. Klassifikation und Integration von gewohnlichen Differentialgleichen zwischen x, y die eine Gruppe von Transformationen gestatten. Math. Ann. 1888, 32:213-281.
-
(1888)
Math. Ann.
, vol.32
, pp. 213-281
-
-
Lie, S.1
-
11
-
-
33846194257
-
Potential nonclassical symmetries and solutions of fast diffusion equation
-
Popovych R.O., Vaneeva O.O., Ivanova N.M. Potential nonclassical symmetries and solutions of fast diffusion equation. Phys. Lett. A 2007, 362(2-3):166-173.
-
(2007)
Phys. Lett. A
, vol.362
, Issue.2-3
, pp. 166-173
-
-
Popovych, R.O.1
Vaneeva, O.O.2
Ivanova, N.M.3
-
13
-
-
42449084346
-
On class of reducing operators and solutions of evolution equations
-
(in Russian)
-
Vasilenko O.F., Popovych R.O. On class of reducing operators and solutions of evolution equations. Vestnik PGTU 1999, 8:269-273. (in Russian).
-
(1999)
Vestnik PGTU
, vol.8
, pp. 269-273
-
-
Vasilenko, O.F.1
Popovych, R.O.2
-
14
-
-
0001757210
-
Conditional symmetry of a porous medium equation
-
Zhdanov R.Z., Lahno V.I. Conditional symmetry of a porous medium equation. Phys. D 1998, 122(1-4):178-186.
-
(1998)
Phys. D
, vol.122
, Issue.1-4
, pp. 178-186
-
-
Zhdanov, R.Z.1
Lahno, V.I.2
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