Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (6): 637-641.

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STUDY OF EXPLICIT ANALYTIC SOLUTIONS FOR THE NONLINEAR COUPLED SCALAR FIELD EQUATIONS

YAN Zhen-ya, ZHANG Hong-qing   

  1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P.R.China
  • Received:1999-10-14 Revised:2000-11-21 Online:2001-06-18 Published:2001-06-18
  • Supported by:
    the National Natural Science Foundation of China (19572022);Doctoral Foundation of National Education Commission of China (98014119)

Abstract: By using two different transformations, several types of exact analytic solutions for a class of nonlinear coupled scalar field equation are obtained, which contain soliton solutions, singular solitary wave solutions and triangle function solutions. These results can be applied to other nonlinear equations. In addition, parts of conclusions in some referen-ces are corrected.

2010 MSC Number: 

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