Vandermonde-like determinants and N-fold Darboux/Bäcklund transformations

Journal of Mathematical Physics

Volumn 38, Issue 9, 1997, Pages 4692-4695

  Steudel, H ^a   Meinel, R ^b   Neugebauer, G ^b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031485017     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532115     Document Type: Article

References (15)

1. G. Neugebauer, J. Phys. A 13, L19 (1980).
2. G. Neugebauer and R. Meinel, Phys. Lett. A 100, 467 (1984).
3. V. B. Matveev and M. A. Salle, Darboux transformations and solitons (Springer-Verlag, Berlin, 1991).
4. R. Meinel, G. Neugebauer, and H. Steudel, Solitonen-nichtlineare Strukturen (Akademie Verlag, Berlin, 1991).
5. A. V. Rybin, J. Phys. A 24, 253 (1991).
6. H. Steudel, R. Meinel, and D. J. Kaup, J. Mod. Opt. 44, 287 (1997).
7. F. J. Ernst, Phys. Rev. 167, 1175 (1968).
8. D. Kramer and G. Neugebauer, Commun. Math. Phys. 7, 173 (1968).
9. M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, Stud. Appl. Math. 53, 249 (1974).
10. H. Steudel and R. Meinel, Physica D 87, 127 (1995).
11. A. A. Cauchy, J. École Polytech. 17, 29 (1815).
12. J. Dieudonné, Abrégé d'histoire des mathématiques: 1700-1900, Vol. 1 (Hermann, Paris, 1978).
13. H. Lebesgue, Thales 4, 28 (1940).
14. A. Th. Vandermonde, Histoire Acad. R. Sci. 1772 Part 2, 516 (1776).
15. Th. Muir, The theory of determinants in the historical order of development, Vol. 1 (Dover, New York, 1960).