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复的带自相容源KdV方程的爆破解
引用本文:高良涓,;吴红霞,;曾云波.复的带自相容源KdV方程的爆破解[J].厦门水产学院学报,2014(5):375-380.
作者姓名:高良涓  ;吴红霞  ;曾云波
作者单位:[1]集美大学理学院,福建厦门361021; [2]清华大学数学科学系,北京100084
基金项目:国家自然科学基金资助项目(11171175,11201178); 福建省自然科学基金资助项目(2012J01013); 集美大学科研启动基金项目(ZQ2009001)
摘    要:从复的带自相容源KdV方程的1-soliton解和1-negaton解出发,得到该方程的爆破解,并详细分析了爆破点的轨迹.此外,通过matlab画图说明爆破解的动力学行为特点.

关 键 词:复的带自相容源KdV方程  爆破解  爆破点

Blow-up Solutions to the Complex Korteweg-de Vires Equation with Self-consistent Source
Institution:GAO Liang-juan , WU Hong-xia, ZENG Yun-bo (1. School of Science, Jimei University, Xiamen 361021, China; 2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China)
Abstract:Blow-up solutions were derived from known 1-soliton solution and 1-negaton solution of the complex Korteweg-de Vires equation with self-consistent sources. The related orbits of blow-up points were analyzed in detail. In addition,dynamics of the obtained solutions were illustrated.
Keywords:complex Korteweg-de Vires equation with self-consistent source  blow-up solution  blow-up points
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