The N-soliton solution of a generalised vakhnenko equation

Glasgow Mathematical Journal

Volumn 43, Issue A, 2001, Pages 65-90

  Morrison, A J ^a   Parkes, E J ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044527600     PISSN: 00170895     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0017089501000076     Document Type: Article

References (7)

1. V.O. Vakhnenko and E.J. Parkes, The two loop soliton solution of the Vakhnenko equation, Nonlinearity 11 (1998), 1457-1464.
2. A.J. Morrison, E.J. Parkes and V.O. Vakhnenko, The N loop soliton solution of the Vakhnenko equation, Nonlinearity 12 (1999) 1427-1437.
3. R. Hirota, Direct methods in soliton theory, in Solitons, edited by R.K. Bullough and P.J. Caudrey (Springer-Verlag, 1980), 157-176.
4. M. Ito, An extension of nonlinear evolution equations of the KdV(mKdV) type to higher orders, J. Phys. Soc. Japan 49 (1980), 771-778.
5. T.P. Moloney and P.F. Hodnett, A new perspective on the N-soliton solution of the KdV equation, Proc. Roy. Irish Acad. Sect. A 89 (1989), 205-217.
6. M. Musette, F. Lambert and J.C. Decuyper, Soliton and antisoliton resonant interactions, J. Phys. A 20 (1987), 6223-6235.
7. R. Hirota and J. Satsuma, N-soliton solutions of model equations for shallow water waves, J. Phys. Soc. Japan 40 (1976), 611-612.