The Virasoro Group

Author(s):  
Blagoje Oblak
Keyword(s):  
1993 ◽  
Vol 405 (2-3) ◽  
pp. 367-388 ◽  
Author(s):  
B. Sathiapalan
Keyword(s):  

1991 ◽  
Vol 139 (3) ◽  
pp. 433-440 ◽  
Author(s):  
Victor Aldaya ◽  
Jose Navarro-Salas
Keyword(s):  

2001 ◽  
Vol 512 (1-2) ◽  
pp. 189-196 ◽  
Author(s):  
S.James Gates ◽  
V.G.J. Rodgers
Keyword(s):  

2008 ◽  
Vol 20 (10) ◽  
pp. 1191-1208 ◽  
Author(s):  
PARTHA GUHA

This paper discusses an algorithmic way of constructing integrable evolution equations based on Lie algebraic structure. We derive, in a pedagogical style, a large class of two-component peakon type dual systems from their two-component soliton equations counter part. We study the essential aspects of Hamiltonian flows on coadjoint orbits of the centrally extended semidirect product group [Formula: see text] to give a systematic derivation of the dual counter parts of various two-component of integrable systems, viz., the dispersive water wave equation, the Kaup–Boussinesq system and the Broer–Kaup system, using moment of inertia operators method and the (frozen) Lie–Poisson structure. This paper essentially gives Lie algebraic explanation of Olver–Rosenau's paper [31].


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