On Reductions to the Second Painleve Equation and N-Soliton Solutions of the Two and Three Dimensional Nonlinear Klein-Gordon Equations
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概要
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The two and three-dimensional nonlinear Klein-Gordon (and Higgs) equationsare reduced to the one-dimensional nonlinear Schr6dinger equation. N-solitonsolutions of the two and three-dimensional nonlinear Klein-Gordon (and Higgs)equations are obtained by substituting N-soliton solutions of the one-dimensionalnonlinear Schr6dinger equation into the similarity transformations. It is alsoshown that the two and three-dimensional Higgs equations can be reduced to thesecond Painlev<S equation.
- 社団法人日本物理学会の論文
- 1984-01-15
著者
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Tajiri Masayoshi
Department Of Mathematical Science College Of Engineering Osaka Prefecture University
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Tajiri Masayoshi
Department Of Applied Physics Faculty Of Engineering University Of Osaka Prefecture
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TAJIRI Masayoshi
Department of Mathematical Sciences,College of Engineering University of Osaka Prefecture
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