Linear determining equations for differential constraints

Sbornik Mathematics

Volumn 189, Issue 11-12, 1998, Pages 1839-1854

  Kaptsov, O V ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032243643     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/sm1998v189n12abeh000368     Document Type: Article

References (17)

1. A. F. Sidorov, V. P. Shapeev, and N. N. Yanenko, Method of differential constraints and its applications in gas dynamics, Nauka, Novosibirsk 1984. (Russian)
2. V. K. Andreev, O. V. Kaptsov, V. V. Pukhnachev, and A. A. Rodionov, Application of group-theoretic methods in fluid dynamics, Nauka, Novosibirsk 1994. (Russian)
3. L. V. Ovsiannikov [Ovsyannikov], Group analysis of differential equations, Nauka, Moscow 1978; English transl., Academic Press, New York 1982.
4. O. V. Kaptsov, "B-determining equations: applications to nonlinear partial differential equations", European J. Appl. Math. 6 (1995), 265-286.
5. V. A. Galaktionov, "Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities", Proc. Roy. Soc. Edinburgh Sect. A 125 (1995), 225-246.
6. V. A. Galaktionov and S. A. Posashkov, "Exact solutions and invariant spaces for nonlinear gradient diffusion equations", Zh. Vychisl. Mat. Mat. Fiz. 34:3 (1994), 373-383; English transl. in Comput. Math. Math. Phys. 34 (1994).
7. V. A. Galaktionov and S. A. Posashkov, "Exact solutions and invariant spaces for nonlinear gradient diffusion equations", Zh. Vychisl. Mat. Mat. Fiz. 34:3 (1994), 373-383; English transl. in Comput. Math. Math. Phys. 34 (1994).
8. S. R. Svirshchevskiǐ, "Nonlinear differential operators of first and second order possessing invariant linear spaces of maximal dimension", Teoret. Mat. Fiz. 105:2 (1995), 198-207; English transl. in Theoret. and Math. Phys. 105 (1995).
9. S. R. Svirshchevskiǐ, "Nonlinear differential operators of first and second order possessing invariant linear spaces of maximal dimension", Teoret. Mat. Fiz. 105:2 (1995), 198-207; English transl. in Theoret. and Math. Phys. 105 (1995).
10. N. Kh. Ibragimov, Transformation groups applied to mathematical physics, Nauka, Moscow 1983; English transl., Reidel, Dordrecht 1985.
11. O. V. Kaptsov, "Determining equations and differential constraints", J. Nonlinear Math. Phys. 4:1 (1995), 283-291.
12. G. K. Batchelor, An introduction to fluid dynamics, Cambridge Univ. Press, Cambridge 1967.
13. O. V. Kaptsov, "Standard vortex structures in an ideal fluid", Zh. Èksper. Teoret. Fiz. 98 (1992), 532-541; English transl. in Soviet Phys. JETP 71 (1992).
14. O. V. Kaptsov, "Standard vortex structures in an ideal fluid", Zh. Èksper. Teoret. Fiz. 98 (1992), 532-541; English transl. in Soviet Phys. JETP 71 (1992).
15. A. M. Meirmanov, V. V. Pukhnachov, and S. I. Shmarev, Evolution equations and Lagrangian coordinates, de Gruyter, New York 1997.
16. I. Sh. Akhatov, R. K. Gazizov, and N. Kh. Ibragimov, "Quasi-local symmetry of equations of the nonlinear heat-conduction type", Dokl. Akad. Nauk SSSR 295:1 (1987), 75-78; English transl. in Soviet Physics Dokl. 32 (1987).
17. I. Sh. Akhatov, R. K. Gazizov, and N. Kh. Ibragimov, "Quasi-local symmetry of equations of the nonlinear heat-conduction type", Dokl. Akad. Nauk SSSR 295:1 (1987), 75-78; English transl. in Soviet Physics Dokl. 32 (1987).