Complexation of Wavenumbers in Solitons
arXiv:patt-sol/9709001 · doi:10.1016/S0375-9601(97)00683-X
Abstract
It is shown that, by letting wavenumbers and frequencies complex in Hirota's bilinear method, new classes of exact solutions of soliton equations can be obtained systematically. They include not only singular or N-homoclinic solutions but also N-wavepacket solutions.
arXiv comment9 pages, 5 figures, Latex. Style files elsart.cls, elsart.sty and elsart12.sty, which may be available at http://www.cdrom.com/pub/tex/ctan/macros/latex209/contrib/elsevier/ are used. Accepted for publication in Physics Letters A