rational solutions multicomponent nls equations generalized Heisenberg model
Issue Date:
2015
Publisher:
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 25, No 1, (2015), 203p-212p
Abstract:
In this report we shall propose an algorithm to construct rational type
solutions to multicomponent nonlinear evolution equations solvable through
inverse scattering transform. The algorithm to be demonstrated is based on
Zakharov-Shabat’s dressing technique. As an illustration of our approach
we shall consider in more detail the derivation of rational solutions to a
generalized Heisenberg ferromagnet equation. 2010 Mathematics Subject Classification: 35C05, 35Q55, 37K15, 74J30.
