Solution of soliton equations in terms of neutral fermion particles

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:386

Article

Unal, Metin

关键词: Soliton equations;    Neutral fermions;   

DOI  :  10.1016/j.jmaa.2011.08.021

来源: Elsevier

【 摘 要 】

In this paper we exploit the algebraic structure of the soliton equations and find solutions in terms of neutral free fermion particles. We show how pfaffians arise naturally in the fermionic approach to soliton equations. We write the tau-function for neutral free fermions in terms of pfaffians. Examples of how to get soliton, rational and dromion solutions from tau-functions for the various soliton equations are given. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free