The Korteweg-de Vries hierarchy: Structure and solution

Czechoslovak Journal of Physics

Volumn 52, Issue 7, 2002, Pages 853-864

  Chakrabarti, Subhendu ^a   Pal, J ^a   Shamanna, J ^a   Talukdar, B ^a  

^a VISVA BHARATI UNIVERSITY   (India)

Author keywords

Dimensional analysis; Higher KdV equations; Unstable solutions

Indexed keywords

EID: 0036665425     PISSN: 00114626     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016267126323     Document Type: Article

References (15)

1. C.S. Gardner, J.M. Greene, M.D. Kruskal, and R.M. Miura: Phys. Rev. Lett. 19 (1967) 1095.
2. P.D. Lax: Comm. Pure Appl. Math. 21 (1968) 467.
3. C.S. Gardner, J.M. Greene, M.D. Kruskal, and R.M. Miura: Commun. Pure Appl. Math. 27 (1974) 97.
4. V.E. Zakharov and L.D. Faddeev: Funct. Anal. Appl. 5 (1971) 18.
5. C.S. Gardner: J. Math. Phys. 12 (1971) 1548.
6. F. Magri: J. Math. Phys. 19 (1978) 1156.
7. W. Oevel and O. Ragnisco: in Nonlinear Evolution Equations and Dynamical Systems (Eds. F. Calogero, D. Levi, and A. Verganelakis), Springer Verlag, New York, 1990.
8. N. Kh. Ibragimov and A.B. Shabat: Dokl. Akad. Nauk SSSR 244 (1979) 56.
9. K. Chadan and P.C. Sabatier: Inverse Problems in the Quantum Scattering Theory, Springer-Verlag, Berlin-Heidelberg, 1989.
10. P.C. Sabatier: Nuovo Cimento B 78 (1983) 235.
11. H.J.S. Dorren: J. Math. Phys. 37 (1996) 1858.
12. S. Wolfrum: Mathematica, A System for Doing Mathematics by Computer, Addision Wesley Pub. Co., Inc., New York, 1988.
13. A.S. Fokas and I.M. Gel'fand: in Important Developments in Soliton Theory (Eds. A.S. Fokas and V.E. Zakharov), Springer-Verlag, Berlin-Heidelberg, 1993.
14. R.M. Miura, C.S. Gardner, and M.D. Kruskal: J. Math. Phys. 9 (1968) 1204.
15. B.N. Zakhariev and A.A. Suzko: Direct and Inverse Problems: Potentials in Quantum Scattering Theory, Springer-Verlag, Berlin-Heidelberg, 1990.