Exact Solutions of Gardner Equations through tanh-coth Method
作者： Lin Lin , Shiyong Zhu , Yinkang Xu , Yubing Shi
关键词:
摘要: In this paper, we apply the tanh-coth method and traveling wave transformation method for solving Gardner equations, including (1 + 1)-Gardner (2 1)- equations. The tanh-coth method proved to be reliable effective in handling a large number of nonlinear dispersive disperse Through method, get analytical expressions soliton solutions one-soliton solution is characterized by an infinite wing or tail.
sci-hub.st 参考文章(13)
Taogetusang, Sirendaoreji, New type of exact solitary wave solutions for dispersive long-wave equation and Benjamin equation Acta Physica Sinica. ,vol. 55, pp. 3246- 3254 ,(2006) , 10.7498/APS.55.3246
Yuqing Liu, Fang Duan, Chao Hu, Painlevé Property and Exact Solutions to a (2 + 1) Dimensional KdV-mKdV Equation Journal of Applied Mathematics and Physics. ,vol. 03, pp. 697- 706 ,(2015) , 10.4236/JAMP.2015.36083
Yong Chen, Zhenya Yan, New exact solutions of (2+1)-dimensional Gardner equation via the new sine-Gordon equation expansion method Chaos, Solitons & Fractals. ,vol. 26, pp. 399- 406 ,(2005) , 10.1016/J.CHAOS.2005.01.004
X.Y. Tang, Z.F. Liang, Variable separation solutions for the (3 + 1)-dimensional Jimbo-Miwa equation Physics Letters A. ,vol. 351, pp. 398- 402 ,(2006) , 10.1016/J.PHYSLETA.2005.11.035
Fang Jian-Ping, Zheng Chun-Long, New exact excitations and soliton fission and fusion for the (2+1)-dimensional Broer?Kaup?Kupershmidt system Chinese Physics. ,vol. 14, pp. 669- 675 ,(2005) , 10.1088/1009-1963/14/4/006
Ying Jin-Ping, Lou Sen-Yue, Multilinear Variable Separation Approach in (3+1)-Dimensions: the Burgers Equation Chinese Physics Letters. ,vol. 20, pp. 1448- 1451 ,(2003) , 10.1088/0256-307X/20/9/311
Kimiaki Konno, Yoshi H. Ichikawa, A Modified Korteweg de Vries Equation for Ion Acoustic Waves Journal of the Physical Society of Japan. ,vol. 37, pp. 1631- 1636 ,(1974) , 10.1143/JPSJ.37.1631
Zhang Shun-Li, Lou Sen-Yue, Qu Chang-Zheng, The derivative-dependent functional variable separation for the evolution equations Chinese Physics. ,vol. 15, pp. 2765- 2776 ,(2006) , 10.1088/1009-1963/15/12/001
Ma Hong-Cai, Ge Dong-Jie, Yu Yao-Dong, New periodic wave solutions, localized excitations and their interaction for 2+1-dimensional Burgers equation Chinese Physics B. ,vol. 17, pp. 4344- 4353 ,(2008) , 10.1088/1674-1056/17/12/002
W. Malfliet, Solitary wave solutions of nonlinear wave equations American Journal of Physics. ,vol. 60, pp. 650- 654 ,(1992) , 10.1119/1.17120