Conservation Laws of the Two-Dimensional Toda Lattice Hierarchy.

• Zhang Da-jun

  Department of Mathematics, Shanghai University, Shanghai 200436, People's Republic of China

抄録

A novel method of constructing the conservation laws of (1+2)-dimensional differential-difference systems is proposed. By introducing the generalized Riccati equation related to the pseudo-difference operator, we obtain the infinitely many conserved densities and the associated fluxes of the two-dimensional Toda lattice hierarchy. Moreover, this method presents more forms of the conservation laws than the previous approach [K. Kajiwara and J. Satsuma: J. Math. Phys. 32 (1991) 506].

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 71 (11), 2583-2586, 2002

  一般社団法人 日本物理学会

キーワード

• conservation law
• two-dimensional Toda lattice hierarchy
• generalized Riccati equation

詳細情報

• CRID: 1390282679160664320
• NII論文ID: 210000103930
• NII論文ID: 110001954102
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.71.2583
• BIBCODE: 2002JPSJ...71.2583Z
• ISSN: 13474073
• ISSN: 00319015
• MRID: 1944641
• NDL書誌ID: 6359036
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6359036
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.71.2583
• 本文言語コード: en
• データソース種別:
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