2 papers
solv-int1999
Self-similar solutions of NLS-type dynamical systems
M. Boiti, V. G. Marikhin, F. Pempinelli +1
We study self-similar solutions of NLS-type dynamical systems. Lagrangian approach is used to show that they can be reduced to three canonical forms, which are related by Miura tra…
math-ph1999
Bäcklund and Darboux transformations for the nonstationary Schrödinger equation
M. Boiti, F. Pempinelli, A. Pogrebkov +1
Potentials of the nonstationary Schrödinger operator constructed by means of recursive Bäcklund transformations are studied in detail. Corresponding Darboux transformations of…