Crum transformation and rational solutions of the non-focusing nonlinear Schrödinger equation

ANW Hone - Journal of Physics A: Mathematical and General, 1997 - iopscience.iop.org
A Crum transformation for the linear problem of the non-focusing nonlinear Schrödinger
(NLS) equation is used to construct the sequence of rational solutions, given in terms of tau …

On additional symmetry: the many-body problem related to the KP hierarchy

K Hikami, M Wadati - Physics Letters A, 1994 - Elsevier
Nonlinear integrable equations, such as the KdV equation, the Boussinesq equation and the
KP equation, have a close relation with the many-body problem. The solutions of such …

Numerical solutions and pole expansion for perturbed Korteweg-de Vries equation

S Hosoda, T Kawahara - Journal of the Physical Society of Japan, 1994 - journals.jps.jp
Solutions of a perturbed Korteweg-de Vries equation are investigated both numerically and
analytically for the case when the perturbation terms representing wave amplification and …