N -Soliton Solution N-Gap Solution KDV Polynomial Pencil
Issue Date:
1998
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 24, No 3-4, (1998), 225p-256p
Abstract:
Dubrovin type equations for the N -gap solution of a completely
integrable system associated with a polynomial pencil is constructed and
then integrated to a system of functional equations. The approach used to
derive those results is a generalization of the familiar process of finding the
1-soliton (1-gap) solution by integrating the ODE obtained from the soliton
equation via the substitution u = u(x + λt).
