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《应用数学和力学(英文版)》 2002-01
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A FAMILY OF INTEGRABLE SYSTEMS OF LIOUVILLE AND LAX REPRESENTATION, DARBOUX TRANSFORMATIONS FOR ITS CONSTRAINED FLOWS

ZHANG Yu_feng , ZHANG Hong_qing (1.Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P R China; 2.Basic Courses Department, Shandong University of Science and Technology, Tai'an, Shangdong 271019, P R China) (Contr  
A family of integrable systems of Liouville are obtained by Tu pattern. Using higher_order potential_eigenfunction constraints, the integrable systems are factorized to two x_ and t n_integrable Hamiltonian systems whose Lax representation and three kinds of Darboux transformations are presented.
【Fund】: theChineseBasicResearch“MathematicalMechanizationandaPlatformfor AutomatedReasoning”(G1 9980 3 0 60 0 )
【CateGory Index】: O175.29
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【Co-citations】
Chinese Journal Full-text Database 5 Hits
1 ZHANG Yu-feng 1,2, ZHANG Hong-qing 1, GONG Xin-bo 1 (1-Department of Applied Mathematics, Dalian University of Technology, Dalian 116024; 2-Department of Basic Courses, Shandong University of Science and Technology, Taian 271019);Darboux Transformation and Exact Solutions to Duffing-type Equations with External Field[J];Chinese Journal of Engineering Mathematics;2001-04
2 ZHOU Ru-Guang;School of Mathematics and Statistics,Jiangsu Normal University;;A Bcklund Transformation of the Restricted mKdV Flow with a Rosochatius Deformation[J];理论物理通讯(英文版);2013-09
3 WANG Guang-sheng,BI Jin-bo,ZHANG Da-jun(School of Sciences,Shanghai University,Shanghai 200444,China);N-Soliton Solution to Non-isospectral KdV Equation with Self-Consistent Sources[J];Journal of Shanghai University(Natural Science Edition);2007-03
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5 ZHANG Yu_feng 1,2 , ZHANG Hong_qing 2 (1 Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P R China; 2 Basic Courses Department, Shandong University of Sciecne and Technology, Tai'an, Shangdong 271019, P R;A Family of Integrable Systems of Liouville and Lax Representation,Darboux Transformations for its Constrained Flows[J];Applied Mathematics and Mechanics;2002-01
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