Cauchy problems on the semiline and on a finite interval for the Eckhaus equation

Abstract

The Cauchy problems on the semiline and on a finite interval, for the Eckhaus equation i psi t+ psi xx+2( mod psi mod 2)x psi + mod psi mod 4 psi =0, are solved, i.e. to a linear integrodifferential equation in one independent variable.