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Exact solutions of Gerdjikov-Ivanov equation

Li Xiang-Zheng Li Xiu-Yong Zhao Li-Ying Zhang Jin-Liang

Exact solutions of Gerdjikov-Ivanov equation

Li Xiang-Zheng, Li Xiu-Yong, Zhao Li-Ying, Zhang Jin-Liang
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  • Abstract views:  4101
  • PDF Downloads:  926
  • Cited By: 0
Publishing process
  • Received Date:  29 January 2007
  • Accepted Date:  31 August 2007
  • Published Online:  05 February 2008

Exact solutions of Gerdjikov-Ivanov equation

  • 1. 河南科技大学理学院,洛阳 471003

Abstract: The Gerdjikov-Ivanov equation which appears,in the fields of quanta field theory,weak nonlinear dispersive water wave,nonlinear optics, etc., has been discussed. Nonlinear mathematical physics equation with higher order nonlinear terms is educed in the discussion of Gerdjikov-Ivanov equation. The Liénard equation is chosen as subsidiary ordinary differential equation, with the help of which and according to homogeneous balance principle,the Gerdjikov-Ivanov equation has been solved,and the envelope solitary wave solutions and envelope sinusoidal wave solutions have been obtained.

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