The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation

Journal of the Physical Society of Japan

Volumn 66, Issue 5, 1997, Pages 1277-1281

  Kraenkel, Roberto A ^a   Manna, Miguel A ^b   Montero, Juan C ^a   Pereira, José G ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^b UNIV MONTPELLIER   (France)

Author keywords

KdV hierarchy; Perturbation theory; Secularity

Indexed keywords

EID: 0031481541     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.66.1277     Document Type: Article

References (13)

1. M. J. Ablowitz, D. J. Kaup, A. C. Newell and H. Segur: Stud. Appl. Math. 53 (1974) 249.
2. R. Hirota and J. Satsuma: J. Phys. Soc. Jpn. 40 (1976) 611.
3. P. A. Clarkson and E. L. Mansfield: Nonlinearity 7 (1994) 975.
4. A. Espinosa and J. Fujioka: J. Phys. Soc. Jpn. 63 (1994) 1289.
5. R. A. Kraenkel, M. A. Manna and J. G. Pereira: J. Math. Phys. 36 (1995) 307.
6. R. A. Kraenkel, M. A. Manna, J. C. Montero and J. G. Pereira: J. Math. Phys. 36 (1995) 6822.
7. T. Taniuti: Suppl. Prog. Theor. Phys. 55 (1974) 1.
8. We thank R. Willox for useful comments on this point.
9. R. A. Kraenkel, M. A. Manna, J. C. Montero and J. G. Pereira: Proc. Work-shop Nonlinear Physics: Theory and Experiment, Gallipoli, Lecce, 1995 (World Scientific, Singapore, 1995) patt-sol/9509003.
10. Y. Kodama and T. Taniuti: J. Phys. Soc. Jpn. 45 (1978) 298.
11. Y. Kodama and A. V. Mikhailov: Obstacles to Asymptotic Integrability, in Algebraic Aspects of Integrable Systems: in Memory of Irene Dorfrnan, ed. A. S. Fokas and I. Gel'fand (Birkhauser, Basel, 1996).
12. R. A. Kraenkel, M. A. Manna, V. Merle, J. C. Montero and J. G. Pereira: Phys. Rev. E 54 (1996) 2976.
13. M. J. Ablowitz and P. A. Clarkson: Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge University Press, Cambridge, 1992).