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具有阻尼耗散的DNLS方程的孤立子解析解

ANALYTICAL SOLITARY SOLUTIONS TO DNLS EQUATION WITH DAMPING AND DISPERSION

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【作者】 冯学尚吕建永

【Author】 FENG Xueshang;LU Jiangyong(Center .for space Science and Applied Research,The Chihese Academy of Science, Beijing 100080)

【机构】 中国科学院空间科学与应用研究中心!北京100080

【摘要】 用变换和数值积分的方法找到了考虑欧姆阻尼效应时DNLS方程的一类含激波层结构的解析解,讨论了耗散对其振幅及磁场ByBz的影响.结果表明,耗散时激波厚度有很强的控制作用,耗散越小,激波厚度越大,By和Bz衰减越慢.耗散项很小时振幅基本不变,By和Bz过渡成孤立子解.在无耗散时本文得到了含调制相因子的孤立子解析表达式‘

【Abstract】 In this paper, a method of variable changes and numerical integral is employed to obtain the analytical solutions with shock layer structures for the DNLS equation by considering Ohm’s resistance’ Based on the explict solutions, the effect of dispersion on the amplitude and magnetic flelds By, Bz is discussed. The results show that the dispersion has an obvious control over the shock width: the smaller the dispersion, the larger the shock width and slower the By Bz decay. When the dispersion is small enough, By, and Bz turn into pure solitons. In case of no dispersion, the solitary solution with a modulating factor is also obtained.

【关键词】 DNLS方程孤立子激波
【Key words】 DNLS equationSolitary solutionsShock wave
【基金】 国家自然科学基金
  • 【文献出处】 空间科学学报 ,CHINESE JOURNAL OF SPACE SCIENCE , 编辑部邮箱 ,1997年01期
  • 【分类号】P35
  • 【被引频次】3
  • 【下载频次】37
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