Investigation of the Hamiltonian Structure of the KdV System through r-s Matrix Formalism Revealing Some New Aspects
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- Kundu A.
- Theoretical Nuclear Physics Division, Saha Institute of Nuclear Physics
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- Mallick B. Basu
- Theoretical Nuclear Physics Division, Saha Institute of Nuclear Physics
書誌事項
- タイトル別名
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- Investigation of the Hamiltonian Structure of the KdV System through <I>r</I>-<I>s</I> Matrix Formalism Revealing Some New Aspects
- Investigation of the Hamiltonian Struct
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Poisson bracket (PB) structures of the KdV equation, which caused recent controversies are analysed in details through an alternative r and s matrix approach exploiting their nonultralocal canonical property. A symmetry criterion is found behind the existence of three different PB’s. The required extensions of the PB are derived in a systematic way leading to the Faddeev-Takhtajan (FT) and the Arkadiev et al. brackets. This allows us to construct explicitly the action angle variables and compare their PB relations for all the brackets. It is revealed that for the FT bracket, contrary to the earlier result, the singularity free sector of the scattering matrix elements yields canonical action-angles, which also resolves the controversy regarding the nonseparability of the soliton modes from the continuous spectrum.
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 59 (5), 1560-1570, 1990
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
- 1390001204179252480
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- NII論文ID
- 210000095230
- 110001960903
- 130003900603
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1990JPSJ...59.1560K
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- ISSN
- 13474073
- 00319015
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- MRID
- 1060870
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- NDL書誌ID
- 3662194
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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