Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (12): 1577-1584.doi: https://doi.org/10.1007/s10483-010-1385-x

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Soliton solution to generalized nonlinear disturbed Klein-Gordon equation

MO Jia-Qi1,2   

  1. 1. Department of Mathematics, Anhui Normal University, Wuhu 241003,Anhui Province, P. R. China;
    2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai 200240, P. R. China
  • Received:2010-08-05 Revised:2010-10-30 Online:2010-12-01 Published:2010-12-01

Abstract: A generalized nonlinear disturbed Klein-Gordon equation is studied. Using the homotopic mapping method, the corresponding homotopic mapping is constructed. A suitable initial approximation is selected, and an arbitrary-order approximate solution to the soliton is calculated. A weakly disturbed equation is also studied.

2010 MSC Number: 

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