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Complexation of Wavenumbers in Solitons

M. Umeki

patt-solarXiv:patt-sol/9709001

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.

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