On the Involutive Solutions of Solition Hierarchy

Abstract

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

CLC Number:

O241

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

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