Bäcklund transformation, nonlinear superposition formula and solutions of the Calogero equation
作者： Xuelin Yong , Zhiyong Zhang , Yufu Chen
DOI: 10.1016/J.PHYSLETA.2008.08.041
关键词:
摘要: Abstract In this Letter, the Backlund transformation for ( 2 + 1 ) -Calogero equation is presented in bilinear form. Furthermore, a nonlinear superposition formula related to proved rigorously. By way, Wronskian determinant solution also derived and verified completely.
harvard.edu
elsevier.com
sci-hub.se 参考文章(23)
Decio Levi, Pavel Winternitz, Painlevé transcendents : their asymptotics and physical applications Plenum Press. ,(1992)
Differential geometrical methods in theoretical physics Springer Berlin Heidelberg. ,(1977) , 10.1007/978-94-015-7809-7
M. S. Bruzón, M. L. Gandarias, C. Muriel, J. Ramírez, S. Saez, F. R. Romero, THE CALOGERO-BOGOYAVLENSKII-SCHIFF EQUATION IN 2+1 DIMENSIONS Theoretical and Mathematical Physics. ,vol. 137, pp. 1367- 1377 ,(2003) , 10.1023/A:1026040319977
Differential Geometric Methods in Theoretical Physics LNP. ,vol. 375, ,(1991) , 10.1007/3-540-53763-5
Wen-Xiu Ma, Yuncheng You, Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions Transactions of the American Mathematical Society. ,vol. 357, pp. 1753- 1778 ,(2004) , 10.1090/S0002-9947-04-03726-2
V.B. Matveev, Generalized Wronskian formula for solutions of the KdV equations: first applications Physics Letters A. ,vol. 166, pp. 205- 208 ,(1992) , 10.1016/0375-9601(92)90362-P
Xingbiao Hu, Yong Li, Superposition formulae of a fifth order KdV equation and its modified equation Acta Mathematicae Applicatae Sinica. ,vol. 4, pp. 46- 54 ,(1988) , 10.1007/BF02018713
Song-Ju Yu, Kouichi Toda, Narimasa Sasa, Takeshi Fukuyama, N soliton solutions to the Bogoyavlenskii-Schiff equation and a quest for the soliton solution in (3 1) dimensions Journal of Physics A. ,vol. 31, pp. 3337- 3347 ,(1998) , 10.1088/0305-4470/31/14/018
Wen Xiu Ma, Complexiton solutions to the Korteweg–de Vries equation Physics Letters A. ,vol. 301, pp. 35- 44 ,(2002) , 10.1016/S0375-9601(02)00971-4
N.C. Freeman, J.J.C. Nimmo, Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: The wronskian technique Physics Letters A. ,vol. 95, pp. 1- 3 ,(1983) , 10.1016/0375-9601(83)90764-8