Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Anhui Normal University(Natural Science)》 2014-01
Add to Favorite Get Latest Update

Exact Solutions and Invariant Subspaces of a Family of Third Order Nonlinear Dispersive Equations

ZHU Chun-rong;DOU Cai-ling;College of Mathematics and Computer Science, Anhui Normal University;  
Invariant subspaces of a family of third order nonlinear dispersive equations are given. Then exact solutions of some equations within this family are constructed by invariant subspaces method. Peakon solutions, compacton solutions and blow-up solutions of some equations are obtained.
【Fund】: 国家自然科学基金(11301007 11126237);; 安徽师范大学博士科研资助计划项目(160-751024)
【CateGory Index】: O175.29
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Lin-Na~1 FU Zun-Tao~(1,2) LIU Shi-Kuo~1 School of Physics & Laboratory for Severe Storm and Flood Disaster,Peking University,Beijing 100871,China State Key Laboratory for Turbulence and Complex Systems,Peking University,Beijing 100871,China;Exact Solutions to Degasperis-Procesi Equation[J];理论物理通讯(英文版);2008-07
2 YANG Pei~1 CHEN Yong~2 LI Zhi-Bin~(1,2)Department of Computer Science,East China Normal University,Shanghai 200062,China Institute of Theoretical Computing,East China Normal University,Shanghai 200062,China;An Approach for Solving Short-Wave Models for Camassa-Holm Equation and Degasperis-Procesi Equation[J];理论物理通讯(英文版);2008-09
3 JI Jie~1 ZHAO Song-Lin~2 ZHANG Da-Jun~21 College of Statistics and Mathematics,Zhejiang Gongshang University,Hangzhou 310018,China2 Department of Mathematics,Shanghai University,Shanghai 200444,China;Soliton Solutions for a Negative Order AKNS Equation[J];理论物理通讯(英文版);2008-11
4 JI Jie,~(1,+) ZHANG Jian-Bing,~2 and ZHANG Da-Jun~31 College of Statistics and Mathematics,Zhejiang Gongshang University,Hangzhou 310018,China2 School of Mathematics Science,Xuzhou Normal University,Xuzhou 221116,China3 Department of Mathematics,Shanghai University,Shanghai 200444,China;Soliton Solutions for a Negative Order AKNS Equation Hierarchy[J];理论物理通讯(英文版);2009-09
5 YANG Pei CHEN Yong and LI Zhi-Bin 1 Department of Computer Science, East China Normal University, Shanghai 200241, China 2 Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China;Analytic Approximations for Soliton Solutions of Short-Wave Models for Camassa-Holm and Degasperis-Procesi Equations[J];理论物理通讯(英文版);2010-06
6 YU Li-qin, TIAN Li-xin (Center of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013);Periodic Cusp Wave Solutions and Single-solutions for Degasperis-procesi Equation[J];Chinese Journal of Engineering Mathematics;2005-06
7 ZHANG Hui-qing1,XU Wei1,SHEN Jian-wei1,2(1-Northwestern Polytechnical University,School of Science,Xi’an 710072;2-Xuchang University,Department of Mathematics,Xuchang 461000);Non-analytic Wave Solution of the Generalized Degasperis-Procesi Equation[J];Chinese Journal of Engineering Mathematics;2008-04
8 SHANG Ya-dong1,XIAO Bing2(1.School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China;2.Department of Mathematics,Xinjiang Normal University,Urumqi 830054,China);Explicit and exact solutions to the Camassa-Holm equation and the Degasperis-Procesi equation[J];Journal of Guangzhou University(Natural Science Edition);2008-01
9 Luo Ting(Department of Mathematics,Northwest University,Xi′an 710127,China);Exact solutions and invariant subspaces of a Camassa-Holm-type equation[J];Pure and Applied Mathematics;2012-05
10 LI Yi,ZHANG Wei-guo,QIN Ying-hao(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);Discussion of the Peakon and compacton solutions for a class of dispersion equation of third order[J];Journal of University of Shanghai for Science and Technology;2009-01
China Proceedings of conference Full-text Database 2 Hits
1 Zong Xiju School of Control Science and Engineering,University of Jinan,Jinan 250022,P.R.China;Stabilization of the Degasperis-Procesi Equation with Periodic Boundary Condition[A];[C];2008
2 ZONG Xiju,ZHANG Yong and CHENG Xingong~* School of Control Science and Engineering,University of Jinan,Jinan,Shandong,250022,P.R.China;Control for the Traveling Wave Solution to the Degasperis-Procesi Equation[A];[C];2011
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved