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THE MAPPING RELATION AMONG SOLUTION OF SOME NONLINEAR EQUATIONS 被引量:1

THE MAPPING RELATION AMONG SOLUTION OF SOME NONLINEAR EQUATIONS
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摘要 Among the solutions of three kinds of nonlinear equations in one dimensional systems, cubic nonlinear Klein-Gordon (including Φ~4), Sine-Gordon and double Sine-Gordon, some mapping relations exist. When a solution of any one equation is known, so are the other two. Among the solutions of three kinds of nonlinear equations in one dimensional systems, cubic nonlinear Klein-Gordon (including Φ~4), Sine-Gordon and double Sine-Gordon, some mapping relations exist. When a solution of any one equation is known, so are the other two.
出处 《Acta Mathematica Scientia》 SCIE CSCD 1989年第2期131-141,共11页 数学物理学报(B辑英文版)
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  • 1[1]Sen-yue Lou. Symmetry analysis and exact solutions of the 2+ 1 dimensiona1 sine Gordon system[J]. Journal of mathematical physics,2000,41(9) :6509~6524.
  • 2[2]YANG Jian-song, LOU Sen you. Solitary wave solutions of triple sine-Gordon equation[J]. CHIN. PHYS. LETT. , 2004,21 (4): 608.
  • 3[4]Jian-song Yang, Sen yue Lou. Solitary wave solutions of high order scalar fields and coupled scalar fields[J]. Z. Natueforsch, 1999,54a: 195~203.

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