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

STUDY OF EXPLICIT ANALYTIC SOLUTIONS FOR THE NONLINEAR COUPLED SCALAR FIELD EQUATIONS
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摘要 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 references are corrected. 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 references are corrected.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第6期637-641,共5页 应用数学和力学(英文版)
基金 theNationalNaturalScienceFoundationofChina ( 1 95 72 0 2 2 ) DoctoralFoundationofNationalEducationCommissionofChina ( 980 1 41
关键词 nonlinear coupled scalar field equation analytic solution soliton solution periodic solution nonlinear coupled scalar field equation analytic solution soliton solution periodic solution
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