Bidifferential graded algebras and integrable systems

作者: Folkert Muller-Hoissen , Aristophanes Dimakis

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摘要: In the framework of bidifferential graded algebras, we present universal solution generating techniques for a wide class integrable systems.

参考文章(29)
Andrzej Sitarz, Finite Hopf Algebras and Bidifferential Structures Letters in Mathematical Physics. ,vol. 51, pp. 205- 209 ,(2000) , 10.1023/A:1007664501166
Jon Nimmo, Claire Gilson, 良吾 広田, 敦 永井, The direct method in soliton theory ,(2004)
Aristophanes Dimakis, Folkert Müller-Hoissen, Weakly Nonassociative Algebras, Riccati and KP Hierarchies arXiv: Exactly Solvable and Integrable Systems. pp. 9- 27 ,(2009) , 10.1007/978-3-540-85332-9_2
M Crampin, W Sarlet, G Thompson, Bi-differential calculi, bi-Hamiltonian systems and conformal Killing tensors Journal of Physics A. ,vol. 33, pp. 8755- 8770 ,(2000) , 10.1088/0305-4470/33/48/313
Kanehisa Takasaki, Anti-self-dual Yang–Mills equations on noncommutative space–time Journal of Geometry and Physics. ,vol. 37, pp. 291- 306 ,(2001) , 10.1016/S0393-0440(00)00056-5
M. Crampin, W. Sarlet, Bi-quasi-Hamiltonian systems Journal of Mathematical Physics. ,vol. 43, pp. 2505- 2517 ,(2002) , 10.1063/1.1462856
B Carl, C Schiebold, Nonlinear equations in soliton physics and operator ideals Nonlinearity. ,vol. 12, pp. 333- 364 ,(1999) , 10.1088/0951-7715/12/2/012
J. J. C. Nimmo, C. R. Gilson, Y. Ohta, Applications of Darboux transformations to the self-dual Yang-Mills equations Theoretical and Mathematical Physics. ,vol. 122, pp. 239- 246 ,(2000) , 10.1007/BF02551200
ARISTOPHANES DIMAKIS, FOLKERT MÜLLER-HOISSEN, Bicomplexes, integrable models, and noncommutative geometry International Journal of Modern Physics B. ,vol. 14, pp. 2455- 2460 ,(2000) , 10.1142/S0217979200001977