18,822 research outputs found
Dressing method and the coupled KP hierarchy
The coupled KP hierarchy, introduced by Hirota and Ohta, are investigated by
using the dressing method. It is shown that the coupled KP hierarchy can be
reformulated as a reduced case of the 2-component KP hierarchy.Comment: 11 pages, LaTeX, no figure
Bilinearization of Discrete Soliton Equations and Singularity Confinement
Bilinear forms for some nonlinear partial difference equations(discrete
soliton equations) are derived based on the results of singularity confinement.
Using the bilinear forms, the N-soliton and algebraic solutions of the discrete
potential mKdV equation are constructed.Comment: 14 pages, LaTe
Constructing a Supersymmetric Integrable System from the Hirota Method in Superspace
An N=1 supersymmetric system is constructed and its integrability is shown by
obtaining three soliton solutions for it using the supersymmetric version of
Hirota's direct method.Comment: 10 pages, no figure
- …