Soliton solutions and integrability for the generalized variable-coefficient extended Korteweg–de Vries equation in fluids
作者： Yan Jiang , Bo Tian , Wen-Jun Liu , Kun Sun , Min Li
DOI: 10.1016/J.AML.2012.10.013
关键词:
摘要: Abstract In this work, we investigate the generalized variable-coefficient extended Korteweg–de Vries equation in fluid dynamics. Through binary Bell polynomials, more general bilinear form and N -soliton solutions than existing ones are presented. Besides, two types of Backlund transformation derived. Based on binary-Bell-polynomial form, Lax pair is constructed as well.
elsevier.com
sci-hub.se 参考文章(28)
VB Matveev, MA Salle, Darboux transformations and solitons ,(1992)
Bo Tian, Guang-Mei Wei, Chun-Yi Zhang, Wen-Rui Shan, Yi-Tian Gao, Transformations for a generalized variable-coefficient Korteweg de Vries model from blood vessels, Bose Einstein condensates, rods and positons with symbolic computation Physics Letters A. ,vol. 356, pp. 8- 16 ,(2006) , 10.1016/J.PHYSLETA.2006.03.080
Zhi-Yuan Sun, Yi-Tian Gao, Xin Yu, Ying Liu, Amplification of nonautonomous solitons in the Bose-Einstein condensates and nonlinear optics EPL. ,vol. 93, pp. 40004- ,(2011) , 10.1209/0295-5075/93/40004
Xin Yu, Yi-Tian Gao, Zhi-Yuan Sun, Ying Liu, Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg–de Vries equation in fluids Nonlinear Dynamics. ,vol. 67, pp. 1023- 1030 ,(2012) , 10.1007/S11071-011-0044-0
Zhi-Yuan Sun, Yi-Tian Gao, Ying Liu, Xin Yu, Soliton management for a variable-coefficient modified Korteweg-de Vries equation. Physical Review E. ,vol. 84, pp. 026606- ,(2011) , 10.1103/PHYSREVE.84.026606
Franklin Lambert, Johan Springael, On a direct procedure for the disclosure of Lax pairs and Bäcklund transformations Chaos, Solitons & Fractals. ,vol. 12, pp. 2821- 2832 ,(2001) , 10.1016/S0960-0779(01)00096-0
Wen-Xiu Ma, Zuonong Zhu, Solving the (3 + 1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm Applied Mathematics and Computation. ,vol. 218, pp. 11871- 11879 ,(2012) , 10.1016/J.AMC.2012.05.049
Gao-Qing Meng, Yi-Tian Gao, Xin Yu, Yu-Jia Shen, Yi Qin, Multi-soliton solutions for the coupled nonlinear Schrödinger-type equations Nonlinear Dynamics. ,vol. 70, pp. 609- 617 ,(2012) , 10.1007/S11071-012-0481-4
C. Rogers, W. F. Shadwick, Bäcklund transformations and their applications ,(1982)