Bäcklund transformation for the Krichever-Novikov equation

Abstract

The Bäcklund transformation and its nonlinear superposition principle are presented for the Krichever-Novikov equation $u_t=u_{xxx}-3/(2u_x)(u_{xx}^2-r(u))+c{u}_x,r^{(5)}=0$.

3p (8K), LaTeX, submitted to IMRN

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