@inproceedings{45928c1bf84941cb9859a3f564953081,

title = "A novel nonlinear evolution equation integrable by the inverse scattering method",

abstract = "A Backlund transformation for an evolution equation (ut+u ux)x+u=0 transformed into new coordinates is derived. An inverse scattering problem is formulated. The inverse scattering method has a third order eigenvalue problem. A procedure for finding the exact N-soliton solution of the Vakhnenko equation via the inverse scattering method is described.",

keywords = "evolution equation, inverse scattering, Vakhnenko equation",

author = "V.O. Vakhnenko and E.J. Parkes",

year = "2002",

language = "English",

isbn = "9660224869",

volume = "43",

series = "Proceedings of Institute of Mathematics of NAS of Ukraine",

publisher = "Institute of Mathematics of NAS of Ukraine",

pages = "384--391",

editor = "A.G. Nikitin and V.M. Boyko and R.O. Popovych",

booktitle = "Proceedings of the Fourth International Conference, Symmetry in Nonlinear Mathematical Physics",

note = "Fourth International Conference on Symmetry in Nonlinear Mathematical Physics ; Conference date: 09-07-2001 Through 15-07-2001",

}