Investigation of the Hamiltonian Structure of the KdV System through r-s Matrix Formalism Revealing Some New Aspects

スポンサーリンク

概要

• 論文の詳細を見る

• Poisson bracket (PB) structures of the KdV equation, which caused recent con-troversies are analysed in details through an alternative r and s matrix approach ex-ploiting their nonultralocal canonical property. A symmetry criterion is found behindthe existence of three different PB's. The required extensions of the PB are derived ina systematic way leading to the Faddeev-Takhtajan (FT) and the Arkadiev et at.brackets. This allows us to construct explicitly the action angle variables and comparetheir PB relations for all the brackets. It is revealed that for the FT bracket, contraryto the earlier result, the singularity free sector of the scattering matrix elements yieldscanonical action-angles, which also resolves the controversy regarding thenonseparability of the soliton modes from the continuous spectrum.

• 社団法人日本物理学会の論文
• 1990-05-15

著者

• Mallick B.basu

  Theoretical Nuclear Physics Division Saha Institute Of Nuclear Physics

• A. Kundu

  Theoretical Nuclear Physics Division Saha Institute Of Nuclear Physics

• Kundu A.

  Theoretical Nuclear Physics Division,Saha Institute of Nuclear Physics

関連論文

• Investigation of the Hamiltonian Structure of the KdV System through r-s Matrix Formalism Revealing Some New Aspects

スポンサーリンク