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THE INTEGRABLE COUPLINGS OF THE GENERALIZED COUPLED mKdV HIERARCHY AND ITS HAMILTONIAN STRUCTURES
  • ISSN号：2096-0174
  • 期刊名称：《应用数学年刊：英文版》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]Dept.of Math. and Information Science,Zhoukou Normal University, [2]Dept. of Math.,Shanghai University
  • 相关基金：supported by the National Natural Science Foundation of China (Grant Nos.11271008, 61072147, 1071159)
作者： Hanyu Wei[1,2], Tiecheng Xia[2], Hui Wang[2]
关键词： HAMILTONIAN, structures, INTEGRABLE, COUPLINGS, MKDV, HIERARCHY
中文摘要：

We construct a loop algebra 3 , then a new 4×4 isospectral problem is presented. By Tu scheme, the generalized coupled mKdV equation hierarchy is derived. Based on an expanding loop algebra F3 of the loop algebra 3 , the integrable couplings of the generalized coupled mKdV hierarchy is solved. Finally, the Hamiltonian structures of the integrable couplings of the generalized coupled mKdV hierarchy is obtained by the quadratic-form identity.

英文摘要：

We construct a loop algebra 3 , then a new 4×4 isospectral problem is presented. By Tu scheme, the generalized coupled mKdV equation hierarchy is derived. Based on an expanding loop algebra F3 of the loop algebra 3 , the integrable couplings of the generalized coupled mKdV hierarchy is solved. Finally, the Hamiltonian structures of the integrable couplings of the generalized coupled mKdV hierarchy is obtained by the quadratic-form identity.

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期刊信息
  • 《应用数学年刊：英文版》
  • 主管单位:
  • 主办单位:福州大学
  • 主编：
  • 地址：福州大学数学与计算机科学学院
  • 邮编：350002
  • 邮箱：
  • 电话：0591-87893244
  • 国际标准刊号：ISSN：2096-0174
  • 国内统一刊号：ISSN：35-1328/O1
  • 邮发代号:
  • 获奖情况:
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  • 被引量:0