Algebro-geometric solutions to the modified Sawada-Kotera hierarchy
作者： Lihua Wu , Guoliang He , Xianguo Geng
DOI: 10.1063/1.4764886
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摘要: Based on solving the Lenard recursion equation and the zero-curvature equation, we derive the modified Sawada-Kotera (SK) hierarchy associated with a 3 × 3 matrix spectral problem. …
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Yan-Chow Ma, Mark J. Ablowitz, The Periodic Cubic Schrõdinger Equation Studies in Applied Mathematics. ,vol. 65, pp. 113- 158 ,(1981) , 10.1002/SAPM1981652113
Yu. V. Brezhnev, Finite-Band Potentials with Trigonal Curves Theoretical and Mathematical Physics. ,vol. 133, pp. 1657- 1662 ,(2002) , 10.1023/A:1021310208404
Xianguo Geng, H. H. Dai, Junyi Zhu, Decomposition of the Discrete Ablowitz–Ladik Hierarchy Studies in Applied Mathematics. ,vol. 118, pp. 281- 312 ,(2007) , 10.1111/J.1467-9590.2007.00374.X
Xianguo Geng, Cewen Cao, Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions Nonlinearity. ,vol. 14, pp. 1433- 1452 ,(2001) , 10.1088/0951-7715/14/6/302
B.A. Kupershmidt, A super Korteweg-de Vries equation: An integrable system Physics Letters A. ,vol. 102, pp. 213- 215 ,(1984) , 10.1016/0375-9601(84)90693-5
S. Baldwin, J.C. Eilbeck, J. Gibbons, Y. Ônishi, Abelian functions for cyclic trigonal curves of genus 4 Journal of Geometry and Physics. ,vol. 58, pp. 450- 467 ,(2008) , 10.1016/J.GEOMPHYS.2007.12.001
F Calogero, J-P Françoise, Periodic solutions of a many-rotator problem in the plane Inverse Problems. ,vol. 17, pp. 871- 878 ,(2001) , 10.1088/0266-5611/17/4/319
Etsuro Date, Shunichi Tanaka, Periodic Multi-Soliton Solutions of Korteweg-de Vries Equation and Toda Lattice Progress of Theoretical Physics Supplement. ,vol. 59, pp. 107- 125 ,(1976) , 10.1143/PTPS.59.107
Allan P. Fordy, John Gibbons, Some remarkable nonlinear transformations Physics Letters A. ,vol. 75, pp. 325- 325 ,(1980) , 10.1016/0375-9601(80)90829-4
H. P. McKean, Boussinesq's equation on the circle Communications on Pure and Applied Mathematics. ,vol. 34, pp. 599- 691 ,(1981) , 10.1002/CPA.3160340502