Some Remarks on Similarity and Soliton Solutions of Nonlinear Klein-Gordon Equation
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- Tajiri Masayoshi
- Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture
書誌事項
- タイトル別名
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- Some Remarks on Similarity and Soliton
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説明
The three-dimensional nonlinear Klein-Gordon [, Higgs field and Yang-Milles] (3D–KG [, H and YM]) equation is first reduced to the 2D nonlinear Schrödinger (2D–NLS) and 2D–KG [, H and YM] equations, and secondly to the 1D–NLS and 1D–KG [, H and YM] equations by similarity transformations. It is shown that similar type soliton solutions of the 3D–KG, H and YM equations, which have singularity on a plane in (x, y, z, t) space, are obtained by substituting the soliton solutions of the 1D–NLS or 1D–KG (or H) equation into the similarity transformations. The soliton solutions of the YM equation are also investigated.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 53 (11), 3759-3764, 1984
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390001204183986944
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- NII論文ID
- 110001966676
- 210000091698
- 130003739078
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1984JPSJ...53.3759T
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- ISSN
- 13474073
- 00319015
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- MRID
- 775106
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- NDL書誌ID
- 3002848
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- 本文言語コード
- en
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- NDLサーチ
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