GENERALIZED STRUCTURE OF LAX REPRESENTATIONS FOR NONLINEAR EVOLUTION EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (7): 671-677.

GENERALIZED STRUCTURE OF LAX REPRESENTATIONS FOR NONLINEAR EVOLUTION EQUATION

乔志军

Institute of Mathematics, Fudan University, Shanghai 200433 and Department of Mathematics, Liaoning University, Shenyang 110036, P. R. China

收稿日期:1995-11-17 修回日期:1996-10-05 出版日期:1997-07-18 发布日期:1997-07-18
基金资助:
Project supported by the National Natural Science Foundation of China

GENERALIZED STRUCTURE OF LAX REPRESENTATIONS FOR NONLINEAR EVOLUTION EQUATION

Qiao Zhijun

Institute of Mathematics, Fudan University, Shanghai 200433 and Department of Mathematics, Liaoning University, Shenyang 110036, P. R. China

Received:1995-11-17 Revised:1996-10-05 Online:1997-07-18 Published:1997-07-18
Supported by:
Project supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： A new production form for a hierarchy of nonlinear evolution equations (NLEEs)is given in this paper. The form contains productions of isospectral and non-isospectralhierarchy. Under this form a generalized structure of Lax representations for thehierarchy of NLEEs is this presented. As a concrete example. the Levi-hierarchy ofevolution equations are discussed at the end of this paper.

乔志军. GENERALIZED STRUCTURE OF LAX REPRESENTATIONS FOR NONLINEAR EVOLUTION EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(7): 671-677.

Qiao Zhijun. GENERALIZED STRUCTURE OF LAX REPRESENTATIONS FOR NONLINEAR EVOLUTION EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(7): 671-677.

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GENERALIZED STRUCTURE OF LAX REPRESENTATIONS FOR NONLINEAR EVOLUTION EQUATION

GENERALIZED STRUCTURE OF LAX REPRESENTATIONS FOR NONLINEAR EVOLUTION EQUATION

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