Electron. J. Diff. Eqns., Vol. 2003(2003), No. 90, pp. 1-27.

Weak asymptotic method for the study of propagation and interaction of infinitely narrow delta-solitons

Vladimir G. Danilov & Georgii A. Omel'yanov

We present a new method for studying the interaction of solitons for non-integrable Korteweg-de Vries (KdV) type equations with small dispersion and test this method for the KdV equation.

Submitted April 26, 2002. Published September 5, 2003.
Math Subject Classifications: 35Q53, 35Q51, 35C20.
Key Words: KdV type equations, soliton, soliton interaction.

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Vladimir G. Danilov
Moscow Technical University of Communication and Informatics
email: danilov@miem.edu.ru
Georgii A. Omel'yanov
Universidad de Sonora, Rosales y Blvd. Luis Encinas
Hermosillo, Mexico
Permanent address:
Moscow State Institute of Electronics and Mathematics
email: omel@hades.mat.uson.mx   omel@miem.edu.ru

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