Evgeniy Amosenok

    Bolshaya Morskaya st., 67, Saint Petersburg, 190000, Russia
    Saint Petersburg State University of Airspace Instrumentation (SUAI)


    Smirnov A. O., Golovachev G. M., Amosenok E. G.
    The behavior of the two-gap elliptic solutions of the Boussinesq and the KdV equations was examined. These solutions were constructed by the $n$-sheet covering over a torus $(n \leqslant 3)$. It was shown that the shape of the two-gap elliptic solutions depends on $n$ and doesn’t depend on the kind of the nonlinear wave equation.
    Keywords: soliton, Boussinesq equation, KdV equation, theta-function, reduction, covering
    Citation: Smirnov A. O., Golovachev G. M., Amosenok E. G.,  Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg-de Vries equations, Rus. J. Nonlin. Dyn., 2011, Vol. 7, No. 2, pp.  239-256

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