Ordered invariant sets for KdV-type nonlinear evolution equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 9, pp. 1564-1570 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1999_39_9_a12,
     author = {V. A. Galaktionov},
     title = {Ordered invariant sets for {KdV-type} nonlinear evolution equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1564--1570},
     year = {1999},
     volume = {39},
     number = {9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_9_a12/}
}
TY  - JOUR
AU  - V. A. Galaktionov
TI  - Ordered invariant sets for KdV-type nonlinear evolution equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1999
SP  - 1564
EP  - 1570
VL  - 39
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_9_a12/
LA  - en
ID  - ZVMMF_1999_39_9_a12
ER  - 
%0 Journal Article
%A V. A. Galaktionov
%T Ordered invariant sets for KdV-type nonlinear evolution equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1999
%P 1564-1570
%V 39
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_9_a12/
%G en
%F ZVMMF_1999_39_9_a12
V. A. Galaktionov. Ordered invariant sets for KdV-type nonlinear evolution equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 9, pp. 1564-1570. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_9_a12/

[1] Bluman G. W. and Kumei S., Symmetries and Differential Equations, Springer, New York, 1989 | MR | Zbl

[2] Ibragimov N. H., Transformations Groups in Mathematical Physics, D. Reidel, Dordrecht, 1985 | Zbl

[3] Bona L. and Smith R., “The Initial Value Problem for the Korteveg–de Vries Equation”, Proc. Roy. Soc. London A, 278 (1978), 555–601 | MR

[4] Christ M. and Weinstein M., “Dispersion of Small Amplitude Solutions of the Generalized Korteveg–de Vries Equation”, J. Funct. Analys., 100 (1991), 87–109 | DOI | MR | Zbl

[5] Soviet Math. Dokl., 24 (1981) | MR | Zbl

[6] Galaktionov V. A., “Quasilinear Heat Equations with First-Order Sign-Invariants and New Explicit Solutions”, Nonlinear Analys., Theory, Meth. and Appl., 23 (1994), 1595–1621 | DOI | MR | Zbl

[7] Galaktionov V. A., “On New Exact Blow-up Solutions for Nonlinear Heat Conduction Equations with Source and Applications”, Differ. Integr. Equat., 3 (1990), 863–874 | MR | Zbl

[8] Galaktionov V. A., Posashkov S. A. and Svirshchevskii S. R., “On Invariant Sets and Explicit Solutions of Nonlinear Equations with Quadratic Nonlinearities”, Differ. Integr. Equat., 8 (1995), 1997–2024 | MR | Zbl

[9] Galaktionov V. A., “Invariant Subspaces and New Explicit Solutions to Evolution Equations with Quadratic Nonlinearities”, Proc. Roy. Soc. Edinburgh A, 125 (1995), 225–246 | MR | Zbl

[10] Svirshchevskii S. R., “Invariant Linear Subspaces and Exact Solutions of Nonlinear Evolutions Equations”, Nonlinear Math. Phys., 3 (1996), 164–169 | DOI | MR