Classical Completely Integrable System Generated through Nonlinearization of an Eigenvalue Problem

Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (3): 323-330.

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.

Abstract

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

CLC Number:

O175.3

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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Classical Completely Integrable System Generated through Nonlinearization of an Eigenvalue Problem

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