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Chin. Phys. B, 2009, Vol. 18(5): 1780-1786    DOI: 10.1088/1674-1056/18/5/011
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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)
a Department of Computer Science, East China Normal University, Shanghai 200062, China; bCollege of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
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.
Keywords:  soliton solution      Darboux transformation      coupled integrable dispersionless equation  
Received:  13 October 2008      Revised:  06 November 2008      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.Ik (Integrable systems)  
  02.30.Jr (Partial differential equations)  
Fund: 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

Cite this article: 

Zhaqilao(扎其劳), Zhao Yin-Long(赵银龙), and Li Zhi-Bin(李志斌) N-soliton solution of a coupled integrable dispersionless equation 2009 Chin. Phys. B 18 1780

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