On the Involutive Solutions of Solition Hierarchy

数学季刊 ›› 1994, Vol. 9 ›› Issue (2): 44-53.

On the Involutive Solutions of Solition Hierarchy

Dept. of "Iath.,Liaoming University,Shenyang 110036

收稿日期:1993-04-21 出版日期:1994-06-30 发布日期:2025-04-27

On the Involutive Solutions of Solition Hierarchy

Dept. of "Iath.,Liaoming University,Shenyang 110036

Received:1993-04-21 Online:1994-06-30 Published:2025-04-27

摘要/Abstract

摘要： The involutive solutions of soliton hierarchy are given in this paper.Through the nonlinearization of the lax system for solition hierarchy,it is proven that the involutive solution of compatible systems(H)(spatial part)and(F)(time part)is mapped into the soliton of solutin hierarohyby the mappingfwhich is determined by the constraint relation u=f(φ)between potentials and eigenfunotions.

关键词: , soliton hierarchy, involutive system, ivolutive solution

Abstract: The involutive solutions of soliton hierarchy are given in this paper.Through the nonlinearization of the lax system for solition hierarchy,it is proven that the involutive solution of compatible systems(H)(spatial part)and(F)(time part)is mapped into the soliton of solutin hierarohyby the mappingfwhich is determined by the constraint relation u=f(φ)between potentials and eigenfunotions.

Key words: , soliton hierarchy, involutive system, ivolutive solution

中图分类号:

O241

乔志军. On the Involutive Solutions of Solition Hierarchy[J]. 数学季刊, 1994, 9(2): 44-53.

Qiao Zhijun. On the Involutive Solutions of Solition Hierarchy[J]. Chinese Quarterly Journal of Mathematics, 1994, 9(2): 44-53.

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On the Involutive Solutions of Solition Hierarchy

On the Involutive Solutions of Solition Hierarchy

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