The bäcklund transformations of the fifth painlevé equation and their applications;Penktosios Penlevė lygties Bäcklund'o transformacijos ir ju{ogonek} pritaikymai

Mathematical Modelling and Analysis

Volumn 6, Issue 2, 2001, Pages 221-230

  Gromak, V ^a   Filipuk, G ^a  

^a BELARUSIAN STATE UNIVERSITY   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS;

CKLUND TRANSFORMATION; NONLINEAR SUPERPOSITION; PAINLEVE;

MATHEMATICAL TRANSFORMATIONS;

EID: 14844359625     PISSN: 13926292     EISSN: 16483510     Source Type: Journal    
DOI: 10.1080/13926292.2001.9637161     Document Type: Article

References (8)

1. B. Grammaticos, F. Nijhoff and A. Ramani. Discrete Painlevé equations. In: The Painleve property. One century later, R. Conte (Ed.), CRM Series in Mathematical Physics, Springer, 1999, 413-516.
2. V. Gromak. To the theory of the Painlevé equations. Differential Equations, 11 (2), 1975, 373-376. (in Russian).
3. V. Gromak, On the solutions of the fifth Painlevé equation. Differential Equations, 12 (4), 1976, 740-742, (in Russian).
4. V. Gromak. On the one-parameter families of solutions of the Painlevé equations. Differential Equations, 14 (12), 1978, 2131-2135. (in Russian).
5. V. Gromak. Bäcklund transformations of the Painlevé equations and their applications. In: The Painleve property. One century later, R. Conte (Ed.), CRM Series in Mathematical Physics, Springer, 1999, 687-734.
6. V. Gromak and N. Lukashevich. Analytical properties of the solutions of the Painlevé equations. University Press, Minsk, 1990. (in Russian).
7. V. Gromak and V. Tsegel'nik. On the rational solutions of the fifth Painlevé equation. Izvestiya of the Academy of Sciences of BSSR, 6 1978, 114-115. (in Russian).
8. V. Gromak and V. Tsegel'nik. On the nonlinear superposition formulas between solutions of the equations of P-type. Differential Equations, 30 (7), 1994, 1118-1124. (in Russian).