Nonlinear superposition formula of the Boussinesq hierarchy

1993 ◽  
Vol 9 (1) ◽  
pp. 17-27 ◽  
Author(s):  
Xingbiao Hu ◽  
Yong Li ◽  
Qiming Liu
Keyword(s):  
Nonlinear Superposition ◽  
Nonlinear Superposition Formula

Nonlinear superposition formula for SUSY SG/MKdV equations revisited

2011 ◽  
Vol 375 (10) ◽  
pp. 1286-1294 ◽  
Author(s):  
Ling-Ling Xue ◽  
Q.P. Liu ◽  
Rui-Mei Liu
Keyword(s):  
Nonlinear Superposition ◽  
Nonlinear Superposition Formula

A linear algebraic nonlinear superposition formula

2002 ◽  
Vol 295 (5-6) ◽  
pp. 287-298 ◽  
Author(s):  
Pilar R. Gordoa ◽  
Juan M. Conde
Keyword(s):  
Nonlinear Superposition ◽  
Nonlinear Superposition Formula

scholarly journals REDUCED DYNAMICS FROM THE UNITARY GROUP TO SOME FLAG MANIFOLDS: INTERACTING MATRIX RICCATI EQUATIONS

2009 ◽  
Vol 06 (04) ◽  
pp. 573-581 ◽  
Author(s):  
KAZUYUKI FUJII ◽  
HIROSHI OIKE
Keyword(s):  
Differential Equations ◽  
Riccati Equation ◽  
Time Evolution ◽  
Unitary Group ◽  
Natural Generalization ◽  
Flag Manifolds ◽  
Level System ◽  
Nonlinear Superposition ◽  
N Level ◽  
Nonlinear Superposition Formula

In this paper we treat the time evolution of unitary elements in the N level system and consider the reduced dynamics from the unitary group U(N) to flag manifolds of the second type (in our terminology). Then we derive a set of differential equations of matrix Riccati types interacting with one another and present an important problem on a nonlinear superposition formula that the Riccati equation satisfies. Our result is a natural generalization of the paper Chaturvedi et al. [1] (arXiv: 0706.0964 [quant-ph]).

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