一个特征值问题的非线性化及其生成的经典可积系统

数学季刊 ›› 2004, Vol. 19 ›› Issue (3): 323-330.

• • 上一篇

一个特征值问题的非线性化及其生成的经典可积系统

Department of Compute Science, Henan Institute of Finance and Economics, Zhengzhou 450002, China; Department of Information Engineering, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450008, China; National Key Laboratory, on ISN, Xidian University,Xi 'an 710071, China

收稿日期:2004-05-26 出版日期:2004-09-30 发布日期:2024-03-14
作者简介:LUO Man(1968-),female,native of Xinhua,Hunan,a lecturer of Henan Institute of Finance and Economics,M.S.D,engages in soliton theory.

Classical Completely Integrable System Generated through Nonlinearization of an Eigenvalue Problem

Department of Compute Science, Henan Institute of Finance and Economics, Zhengzhou 450002, China; Department of Information Engineering, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450008, China; National Key Laboratory, on ISN, Xidian University,Xi 'an 710071, China

Received:2004-05-26 Online:2004-09-30 Published:2024-03-14
About author:LUO Man(1968-),female,native of Xinhua,Hunan,a lecturer of Henan Institute of Finance and Economics,M.S.D,engages in soliton theory.

摘要/Abstract

摘要： Under the Bargmann constrained condition, the spatial part of a new Lax pair of the higher order MkdV equation is nonlinearized to be a completely integrable system (R^2N,dp^dq, H₀=1/2F₀)(F0= (^q,p) + (^p,p) + (p,q)²). While the nonlinearization of the time part leads to its N-involutive system (F_m).

关键词: integrable , , system, nonlinearization, involutive , , solution

Abstract: Under the Bargmann constrained condition, the spatial part of a new Lax pair of the higher order MkdV equation is nonlinearized to be a completely integrable system (R^2N,dp^dq, H₀=1/2F₀)(F0= (^q,p) + (^p,p) + (p,q)²). While the nonlinearization of the time part leads to its N-involutive system (F_m).

Key words: integrable , , system, nonlinearization, involutive , , solution

中图分类号:

O175.3

罗满, 李秀丽, 向明森. 一个特征值问题的非线性化及其生成的经典可积系统[J]. 数学季刊, 2004, 19(3): 323-330.

LUO Man, LI Xiu-li, XIANG Ming-sen. Classical Completely Integrable System Generated through Nonlinearization of an Eigenvalue Problem[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(3): 323-330.

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一个特征值问题的非线性化及其生成的经典可积系统

Classical Completely Integrable System Generated through Nonlinearization of an Eigenvalue Problem

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