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prolongation structure of Semi-discrete Nonlinear Evolution Equations

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Communications in Theoretical Physics 2007年第4X期48卷 591-600页

作者： BAI Yong-Qiang WU Ke GUO Han-Ying ZHAO Wei-Zhong Institute of Mathematics Henan University Kaifeng 475004 China School of Mathematical Sciences Fudan University Shanghai 200433 China Department of Mathematics Capital Normal University Beijing 100037 China KLMM AMSS the Chinese Academy of Sciences Beijing 100080 China Institute of Theoretical Physics the Chinese Academy of Sciences Beijing 100080 China

Based on noncommutative differential calculus, we present a theory of prolongation structure for semidiscrete non/inear evolution equations. As an illustrative example, a semi-discrete model of the non/inear SchrSding... 详细信息

关键词： noncommutative differential calculus prolongation structure Lax pair

The prolongation structure of a Coupled Kdv Equation

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Acta Mathematicae Applicatae Sinica 2018年第2期34卷 430-437页

作者： Yang-jie JIA Wen-shan DUAN College of Physics and Electronic Engineering Northwest Normal University Lanzhou 730070 China Department of Mathematics Nationalities College of Qinghai Normal University Xining 810008 China

The new coupled KdV equation proposed by Ohta and Hirota, in which the phase shift depends on the mutual positions of solitons at the initial time, is investigated in the framework of prolongation structure theory. It... 详细信息

关键词： integrable equation prolongation structure lax pair

THE prolongation structureS AND NONLOCAL SYMMETRIES FOR MODIFIED BOUSSINESQ SYSTEM

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Acta Mathematica Scientia 2014年第1期34卷 215-227页

作者：程秋盛贺劲松 Department of Mathematics University of Science and Technology of China Department of Mathematics Ningbo University

The Wahlquist-Estabrook （WE） prolongation structures of modified Boussi-nesq （MB） system are studied from the coverings point of view. The realizations and classifications of one-dimensional coverings of this system are obtained completely. More-over the sufficient and necessary conditions for a vector field to be a nonlocal symmetry of this system are also demonstrated in the WE prolongation structures.

关键词： modified Boussinesq system prolongation structure nonlocal symmetry

Modified Heisenberg Ferromagnet Model and Integrable Equation

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Communications in Theoretical Physics 2005年第3X期44卷 415-418页

作者： ZHAO Wei-Zhong LI Min-Li QI Yu-Hai WU Ke Department of Mathematics Capital Normal University Beijing 100037 China Department of Mathematics of Minority Normal College Qinghai Normal University Xining 810008 China Key Laboratory of Mathematics Mechanization Academy of Mathematics and System Sciences the Chinese Academia of Sciences Beijing 100080 China

We investigate some integrable modified Heisenberg ferromagnet models by using the prolongation structure theory. Through associating them with the motion of curve in Minkowski space, the corresponding coupled integra... 详细信息

关键词： Heisenberg ferromagnet model integrable equation prolongation structure space curve