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Chin. Phys. B, 2008, Vol. 17(12): 4337-4343    DOI: 10.1088/1674-1056/17/12/001
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Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system

Yang Jian-Rong (杨建荣), Mao Jie-Jian (毛杰健)
Department of Physics and Electronics, Shangrao Normal University, Shangrao 334001, China
Abstract  The Hirota's bilinear direct method is applied to constructing soliton solutions to a special coupled modified Korteweg-de Vries (mKdV) system. Some physical properties such as the spatiotemporal evolution, waveform structure, interactive phenomena of solitons are discussed, especially in the two-soliton case. It is found that different interactive behaviours of solitary waves take place under different parameter conditions of overtaking collision in this system. It is verified that the elastic interaction phenomena exist in this (1+1)-dimensional integrable coupled model.
Keywords:  coupled mKdV system      Hirota's bilinear method      soliton solution      elastic interaction  
Received:  25 June 2007      Revised:  11 September 2008      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.Ik (Integrable systems)  

Cite this article: 

Yang Jian-Rong (杨建荣), Mao Jie-Jian (毛杰健) Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system 2008 Chin. Phys. B 17 4337

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