中国物理B ›› 2009, Vol. 18 ›› Issue (5): 1780-1786.doi: 10.1088/1674-1056/18/5/011

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N-soliton solution of a coupled integrable dispersionless equation

赵银龙1, 李志斌1, 扎其劳2   

  1. (1)Department of Computer Science, East China Normal University, Shanghai 200062, China; (2)Department of Computer Science, East China Normal University, Shanghai 200062, China;College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
  • 收稿日期:2008-10-13 修回日期:2008-11-06 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:
    Project supported by the National Key Basic Research Project of China (Grant No 2004CB318000), the National Natural Science Foundation of China (Grant No 10771072), the Research Fund for the Doctoral Program of Higher Education of China (Grant No 20060269

N-soliton solution of a coupled integrable dispersionless equation

Zhaqilao(扎其劳)a)b), Zhao Yin-Long(赵银龙)a), and Li Zhi-Bin(李志斌)a)†   

  1. a Department of Computer Science, East China Normal University, Shanghai 200062, China; bCollege of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
  • Received:2008-10-13 Revised:2008-11-06 Online:2009-05-20 Published:2009-05-20
  • Supported by:
    Project supported by the National Key Basic Research Project of China (Grant No 2004CB318000), the National Natural Science Foundation of China (Grant No 10771072), the Research Fund for the Doctoral Program of Higher Education of China (Grant No 20060269

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摘要： A new coupled integrable dispersionless equation is presented by considering a spectral problem. A Darboux transformation for the resulting coupled integrable dispersionless equation is constructed with the help of spectral problems. As an application, the N-soliton solution of the coupled integrable dispersionless equation is explicitly given.

关键词: soliton solution, Darboux transformation, coupled integrable dispersionless equation

Abstract: A new coupled integrable dispersionless equation is presented by considering a spectral problem. A Darboux transformation for the resulting coupled integrable dispersionless equation is constructed with the help of spectral problems. As an application, the N-soliton solution of the coupled integrable dispersionless equation is explicitly given.

Key words: soliton solution, Darboux transformation, coupled integrable dispersionless equation

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Ik (Integrable systems) 02.30.Jr (Partial differential equations)