Solitary Wave Solutions to the ZKBBM Equation and the KPBBM Equation via the Modified Simple Equation Method
Solitary Wave Solutions to the ZKBBM Equation and the KPBBM Equation via the Modified Simple Equation Method
Modified simple equation method
nonlinear evolution equations
homogeneous balance
soliton solutions
Zakharov-Kuznetsov Benjamin-Bona-Mahony equation
Kadomtsov- Petviashvilli Benjamin-Bona-Mahony equation.
二级参考文献35
-
1C. Rogers and W.F. Shadwick, Backlund Transformations, Academic Press, New York (1982).
-
2R. Hirota, Phys. Rev. Lett. 27 (1971) 1192.
-
3M.L. Wang, Phys. Lett. A 213 (1996) 279.
-
4W. Malfiiet, Am. J. Phys. 60 (1992) 650.
-
5Y.B. Zhou, M.L. Wang, and Y.M. Wang, Phys. Lett. A 308 (2003) 31.
-
6M.L. Wang and Y.B. Zhou, Phys. Lett. A 318 (2003) 84.
-
7M.L. Wang, Y.M. Wang, and J.L. Zhang, Chin. Phys. 12 (2003) 1341.
-
8S.J. Liao, Ph.D. Dissertation (in English), Shanghai Jiao Tong University (1992).
-
9S.J. Liao, A Kind of Linear Invariance under Homotopy and Some Simple Applications of It in Mechanics, Bericht Nr. 520, Institut Fuer Schifl'bau der Universitaet Hamburg (1992).
-
10S. Liu, Z. Fu, S. Liu, and Q. Zhao, Phys. Lett. A 289 (2001) 69.
共引文献9
-
1纪娟娟,郭业才,张兰芳.运动粘滞大气中的耦合方程组解析解的新方法[J].四川大学学报（自然科学版）,2016,53(6):1283-1289.
-
2M.Mamun Miah,H.M.Shahadat Ali,M.Ali Akbar,Aly R.Seadawy.New applications of the two variable (G ′/ G,1/ G)-expansion method for closed form traveling wave solutions of integro-differential equations[J].Journal of Ocean Engineering and Science,2019,4(2):132-143. 被引量：2
-
3M.Mamun Miah,Aly R.Seadawy,H.M.Shahadat Ali,M.Ali Akbar.Further investigations to extract abundant new exact traveling wave solutions of some NLEEs[J].Journal of Ocean Engineering and Science,2019,4(4):387-394. 被引量：3
-
4H.M.Shahadat Ali,M.Mamun Miah,M.Ali Akbar.Study of abundant explicit wave solutions of the Drinfeld-Sokolov-Satsuma-Hirota(DSSH)equation and the shallow water wave equation[J].Propulsion and Power Research,2018,7(4):320-328.
-
5A.K.M.Kazi Sazzad Hossain,M.Ali Akbar,Md.Abul Kalam Azad.The closed form solutions of simplified MCH equation and third extended fifth order nonlinear equation[J].Propulsion and Power Research,2019,8(2):163-172.
-
6M Ali Akbar,Md Abdul Kayum,M S Osman.Bright, periodic, compacton and bell-shape soliton solutions of the extended QZK and (3+1)-dimensional ZK equations[J].Communications in Theoretical Physics,2021,73(10):23-35.
-
7朱引,刘小华.Kadomtsov-Petviashvili-Benjamin-Bona-Mahony方程的行波解[J].延边大学学报（自然科学版）,2023,49(3):250-256.
-
8Minghuan Liu,Yuanguang Zheng.New Solutions for an Elliptic Equation Method and Its Applications in Nonlinear Evolution Equations[J].Journal of Applied Mathematics and Physics,2022,10(8):2415-2431.
-
9Yin Zhu,Xiaohua Liu,Xue Huang,Feiyun Ye.Traveling Wave Solution of the Modified Benjamin-Bona-Mahony Equation[J].Journal of Applied Mathematics and Physics,2022,10(10):3143-3155.
-
1KANG Zhouzheng.（G＇/G2）-expansion Solutions to MBBM and OBBM Equations[J].Journal of Partial Differential Equations,2015,28(2):158-166. 被引量：2
-
2Zhu Li, Jingen Yang (College of Math. and Information Science, Xinyang Normal University, Xinyang 464000, Henan) Jirong Shan (Education Bureau of Sishui, Sishui 273200, Shandong).EXACT TRAVELLING WAVE SOLUTIONS TO BBM EQUATION[J].Annals of Differential Equations,2009,25(4):414-419.
-
3Hong-cai MA,Zhi-Ping ZHANG,Ai-ping DENG.A New Periodic Solution to Jacobi Elliptic Functions of MKdV Equation and BBM Equation[J].Acta Mathematicae Applicatae Sinica,2012,28(2):409-415. 被引量：4
-
4Li-wei Cui.Existence,Orbital Stability and Instability of Solitary Waves for Coupled BBM Equations[J].Acta Mathematicae Applicatae Sinica,2009,25(1):1-10.
-
5Cheng-long Xu,Ben-yu Guo.LAGUERRE PSEUDOSPECTRAL METHOD FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS[J].Journal of Computational Mathematics,2002,20(4):413-428. 被引量：13
-
6郭柏灵,苗长兴,黄海洋.Global flow generated by coupled system of Schr dinger-BBM equations[J].Science China Mathematics,1998,41(2):131-138.
-
7Guo,Boling(郭柏灵),Jiang,Murong(蒋慕蓉).SPECTRAL METHODS FOR THE GL-BBM EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2002,11(2):121-128.
-
8郭柏灵,常谦顺.GALERKIN FINITE ELEMENT METHOD AND ERROR ESTIMATES FOR THE SYSTEM OF MULTI-DIMENSIONAL HIGHORDER GENERALIZED BBM-KDV EQUATIONS[J].Chinese Science Bulletin,1983,28(3):310-315.
-
9袁文俊,熊维玲,林剑鸣,吴永洪.ALL MEROMORPHIC SOLUTIONS OF AN AUXILIARY ORDINARY DIFFERENTIAL EQUATION AND ITS APPLICATIONS[J].Acta Mathematica Scientia,2015,35(5):1241-1250. 被引量：1
