| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4617906 | Journal of Mathematical Analysis and Applications | 2011 | 12 Pages |
Abstract
In this paper we exploit the algebraic structure of the soliton equations and find solutions in terms of fermion particles. We show how determinants arise naturally in the fermionic approach to soliton equations. We write the τ-function for charged free fermions in terms of determinants. Examples of how to get soliton, rational and dromion solutions from τ-functions for the various soliton equations are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
