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《Journal of Anhui Normal University(Natural Science)》 2014-01
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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
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【Co-citations】
Chinese Journal Full-text Database 7 Hits
1 WANG Ying(School of Science,Sichuan University of Science & Engineering,Zigong 643000,China);Existence and Uniqueness of the Local Solution for a Weakly Dissipative Shallow Water Wave Equation[J];Journal of Sichuan University of Science & Engineering(Natural Science Edition);2011-04
2 SHEN Jian-wei~(1,2),XU Wei~1 (1.School of Science,Northwestern Polytechnical University,Xi'an 710072,China;2.Department of Mathematics,Xuchang University,Xuchang 461000,China);Cusp Wave Solutions in A Class of Nonlinear Equation[J];Journal of Taiyuan University of Technology;2005-06
3 ZHANG Jin-hua,DING YU-min(Department of Mathematics,Honghe University,Mengzi 661100,P.R.C.);Application of F-expansion method combined with exp-function method for solveing a family of nonlinear third-order dispersive PDEs[J];Journal of Southwest University for Nationalities(Natural Science Edition);2010-04
4 ZHANG Jin-hua,DING Yu-min Department of Mathematics,Honghe University,Mengzi Yunnan 661100,China;Exact Solutions of Exp-function-Type and Trigonometric Function-Type to a Family of Nonlinear Third-Order PDEs[J];Journal of Southwest University(Natural Science Edition);2012-01
5 FANG Guo-chang,CHEN Wan-yong(Foundamental Science Teaching,Yancheng Institute of Technology,Jiangsu Yancheng 224051,China);The Integrability Problem of a Class with Nonlinear Dispersive Shallow Water Wave Equation[J];Journal of Yancheng Institute of Technology(Natural Science Edition);2010-01
6 Deng Xijun(School of Information Science and Mathematics,Yangtze University,Jingzhou 434032,China);Solitary and Periodic Traveling Wave Solutions for the Degasperis-Procesi Equation with the Dispersion Term[J];Journal of Yunnan Nationalities University(Natural Sciences Edition);2008-02
7 WU Shu-yin,LI Zhan-xian(School of Mathematics,Yunnan Normal University,Kunming 650092,China);The Blow-Up Phenomena for the Degasperis-Procesi Equation with a Zero Order Dissipation[J];Journal of Yunnan Normal University(Natural Sciences Edition);2012-01
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
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