27 citations · 61 across the 6 of their papers we have counts for
6 papers
On the extended resolvent of the Nonstationary Schrodingher operator for a Darboux transformed potential
M. Boiti, F. Pempinelli, A. K. Pogrebkov
In the framework of the resolvent approach it is introduced a so called twisting operator that is able, at the same time, to superimpose à la Darboux solitons to a generic smoo…
Inverse scattering theory for the perturbed 1-soliton potential of the heat equation
M. Boiti, F. Pempinelli, A. K. Pogrebkov +1
Inverse scattering transform method of the heat equation is developed for a special subclass of potentials nondecaying at space infinity---perturbations of the one-soliton potentia…
Raman solitons in transient SRS
M. Boiti, J-G. Caputo, J. Leon +1
We report the observation of Raman solitons on numerical simulations of transient stimulated Raman scattering (TSRS) with small group velocity dispersion. The theory proceeds with…
Nonlinear Spectral Characterization of Discrete Data
M. Boiti, J. Leon, F. Pempinelli
The explicit analytical expression of the Nonlinear Fourier Transform (NFT) of a finite set of data is provided. Then a simple recursion relation for the NFT is constructed as a fu…
Soliton solutions of the Hamiltonian DSI and DSIII equations
Flora Pempinelli
By introducing generalized Backlund Transformations depending on arbitrary functions, wave and localized soliton solutions of the Davey- Stewartson equations are generated. Moreove…
Multidimensional Localized Solitons
M. Boiti, L. Martina, F. Pempinelli
Recently it has been discovered that some nonlinear evolution equations in 2+1 dimensions, which are integrable by the use of the Spectral Transform, admit localized (in the space)…