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On coupled KdV equations with self-consistent sources
  • ISSN号：0253-6102
  • 期刊名称：COMMUNICATIONS IN THEORETICAL PHYSICS
  • 时间：0
  • 页码：1091-1100
  • 语言：中文
  • 分类：O411.1[理学—理论物理;理学—物理]
  • 作者机构：[1]Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China, [2]Department of Mathematics, School of Science, Jimei University, Xiamen 361021, China
  • 相关基金：The project supported by the National Fundamental Research Program of China （973 Program） under Grant No. 2007CB814800 and National Natural Science Foundation of China under Grant No. 10601028
  • 相关项目：Pfaffian在高维可积系统和离散可积系统中的应用
作者： Zeng Yun-Bo|Huang Ye-Hui|Xie Xi|Wu Hong-Xia|
关键词： CKdV方程, 广义二进制, 信息传递, 阴电子, GBDT, coupled KdV equation with self-consistent sources, generalized binary Darboux transformation,positon, negaton, complexiton
中文摘要：

与前後一致的来源(CKdVESCS ) 和它的宽松的表示一起的联合 Korteweg-de Vries (CKdV ) 方程被导出。我们在场有为象为 N 乘的公式一样的 CKdVESCS 的任意的时间依赖者功能的概括二进制 Darboux 转变(GBDT ) 重复了 GBDT。这 GBDT 向在二 CKdVESCSs 之间的 non-auto-Bäcklund 转变提供来源的不同学位并且使我们能与 N 任意的 t 依赖的函数构造更一般的解决方案。我们获得安置在上， CKdVESCS 的 negaton， complexiton，和 negaton-positon 答案。

英文摘要：

The coupled Korteweg-de Vries （CKdV） equation with self-consistent sources （CKdVESCS） and its Lax representation are derived. We present a generalized binary Darboux transformation （GBDT） with an arbitrary time- dependent function for the CKdVESCS as well as the formula for the N-times repeated GBDT. This GBDT provides non-auto-Biicklund transformation between two CKdVESCSs with different degrees of sources and enables us to construct more generM solutions with N arbitrary t-dependent functions. We obtain positon, negaton, complexiton, and negaton- positon solutions of the CKdVESCS.

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期刊信息
  • 《理论物理通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中科院理论物理所 中国物理学会
  • 主编：孙昌浦
  • 地址：北京2735邮政信箱 中国科学院理论物理研究所编辑部
  • 邮编：100190
  • 邮箱：ctp@itp.ac.cn
  • 电话：010-62551495 62541813 62550630
  • 国际标准刊号：ISSN：0253-6102
  • 国内统一刊号：ISSN：11-2592/O3
  • 邮发代号:
  • 获奖情况:
  • 首届国家期刊奖,中国科学院优秀期刊特别奖,国家期刊奖百种重点期刊,中国期刊方阵“双高”期刊
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  • 被引量:342