Original Articles |
|
|
|
|
R-Matrix of the Coupling AKNS Equation Hierarchy |
YU Fa-Jun |
College of Mathematics and Systematic Science, Shenyang Normal University, Shenyang 110034 |
|
Cite this article: |
YU Fa-Jun 2008 Chin. Phys. Lett. 25 3519-3522 |
|
|
Abstract A new r-matrix of the integrable coupling system is obtained by nonlinearization of the coupling eigenvalue problem. As a reduction, we present the r-matrix of the coupling Ablowitz--Kaup--Newell--Segur (AKNS) equation hierarchy via enlarged matrix Lie algebra.
|
Keywords:
02.30.Ik
|
|
Received: 07 March 2008
Published: 26 September 2008
|
|
|
|
|
|
[1] Ma W X et al 1996 Chaos Solitons Fractals 71227 [2]Ma W X 2000 Methods Appl. Anal. 7 21 [3]Ma W X, Fuchssteiner B 1996 Phys. Lett. A 213 49 [4]Ma W X 2003 Phys. Lett. A 316 72 [5]Ma W X 2005 J. Math. Phys. 46 033507 [6]Guo F G, Zhang Y F 2003 J. Math. Phys. 44 5793 [7]Zhang Y F 2004 Chaos Solitons Fractals 21 305 [8]Ma W X 2002 J. Math. Phys. 43 1408 [9]Ma W X, Strampp W 1994 Phys. Lett. A 185 277 [10]Geng X G 1994 Phys. Lett. A 194 44 [11]Wu Y T and Geng X G 1996 J. Math. Phys. 372338 [12]Geng X G and Dai H H 1999 J. Math. Anal. Appl.233 26 [13]Ma W X et al 1996 Phys A 233 331 [14]Faddeev L D and Takhtajan L A 1987 HamiltonianMethods in the Theory of Soliton (Berlin: Springer) [15]Ma W X et al 2006 Phys. Lett. A 351 125 [16]Ma W X and Zhou Z X 2001 J. Math. Phys. 424345 [17]Zhang Y F and Zhang H Q 2002 J Math Phys. 43466 [18]Yu F J et al 2006 Chaos, Solitons and Fractals27 1036 [19]Yu F J, Zhang H Q 2006 Commun. Theor. Phys. 415587 [20]Ma W X et al 2006 J. Phys. A: Math. Gen. 3910787 [21]Li Y S et al 2000 Chaos, Solitons and Fractals 11 697 [22]Babelon O and Viallet C M 1990 Phys. Lett. B237 411 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|