Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation

Computers and Mathematics with Applications

Volumn 31, Issue 11, 1996, Pages 115-119

  Tian, Bo ^a   Gao, Yi Tian ^a  

^a LANZHOU UNIVERSITY   (China)

Author keywords

B cklund transformation; Computer algebra; Exact solutions; Mathematical methods in physics; Painlev analysis; Variable coefficient nonlinear Schr dinger equation

Indexed keywords

ALGEBRA; COMPUTER APPLICATIONS; MATHEMATICAL TECHNIQUES; MATHEMATICAL TRANSFORMATIONS; PHYSICS;

BACKLUND TRANSFORMATION; COMPUTER ALGEBRA; EXACT SOLUTIONS; PAINLEVE ANALYSIS; VARIABLE COEFFICIENT NONLINEAR SCHRODINGER EQUATIONS;

NONLINEAR EQUATIONS;

EID: 0030173373     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/0898-1221(96)00068-5     Document Type: Article

References (4)

1. R. Grimshaw, Slowly varying solitary waves I & II, Proc. R. Soc. Lond. A 368, 359,377, (1979).
2. N. Joshi, Painlevé property of general variable-coefficient versions of the Korteweg-de Vries and nonlinear Schrödinger equations, Phys. Lett. A 125 (9), 456, (1987).
3. J. Weiss, M. Tabor and G. Carnevale, The Painlevé property for partial differential equations, J. Math. Phys. 24 (3), 522, (1983).
4. J. Weiss, The Painlevé property for partial differential equations II, J. Math. Phys. 24 (6), 1405, (1983).