On new Galilei-invariant equations in two-dimensional spacetime

Journal of Physics A: Mathematical and General

Volumn 31, Issue 42, 1998, Pages 8511-8519

  Lahno, V I ^a  

^a Pedagogical Institute   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040122442     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/42/010     Document Type: Article

References (11)

1. Ovsjannikov L V 1978 Group Analysis of Differential Equations (Moscow Nauka)
2. Fushchych W I, Shtelen W M and Serov N I 1993 Symmetry and Exact Solutions of Nonlinear Equations of Mathematical Physics (Dordrecht: Kluwer)
3. Barut A and Raczka R 1977 Theory of Group Representations and Applications (Warsaw: Polish Scientific Publishers)
4. Fushchych W I and Yehorchenko I A 1989 Differential invariants of the Galilei algebra Proc. NAS of Ukraine pp 19-34
5. Olver P I 1986 Applications of Lie Groups to Differential Equations (New York: Springer)
6. Fushchych W I, Barannyk L F and Barannyk A F 1991 Subgroup Analysis of the Galilei, Poincaré Groups and Reduction of Nonlinear Equations (Kiev: Naukova Dumka)
7. Rideau G and Winternitz P 1993 Evolution equations invariant under two-dimensional spacetime Schrödinger group J. Math. Phys. 34 558-70
8. Zhdanov R Z and Fushchych W I 1997 On new representations of Galilei groups J. Nonlinear Math. Phys. 4 426-35
9. Fushchych W and Zhdanov R 1977 Symmetry and Exact Solutions of Non-linear Dirac Equations (Kyiv: Mathematical Ukraina)
10. Rideau G and Winternitz P 1990 Nonlinear equations invariant under the Poincaré, similitude and conformal groups in two-dimensional spacetime J. Math. Phys. 31 1095-105
11. Fushchych W I and Lahno V I 1996 On new nonlinear equations invariant under the Poincaré groups in two-dimensional spacetime Proc. NAS of Ukraine pp 60-5