Some Remarks on Similarity and Soliton Solutions of Nonlinear Klein-Gordon Equation
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概要
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The three-dimensional nonlinear Klein-Gordon [, Higgs field and Yang-Milles](3D-KG [, H and YMJ) equation is first reduced to the 2D nonlinear Schr5dinger(2D-NLS) and 2D-KG [, H and YMI equations, and secondly to the 10-NLSand 10-KG [, H and YMI ecuuations bv similarity' transformations. It is shownthat similar type soliton solutions of the 3D-KG, H and YM equations, whichhave singularity on a plane in (x, y, z, t) space, are obtained by substituting thesoliton solutions of the 10-NLS or 10-KG (or H) equation into the similaritytransformations. The soliton solutions of the YM equation are also investigated.
- 社団法人日本物理学会の論文
- 1984-11-15
著者
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Tajiri Masayoshi
Department Of Applied Physics Faculty Of Engineering University Of Osaka Prefecture
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