A Direct Algebraic Method in Finding Particular Solutions to Some Nonlinear Evolution Equations
被引量:1
摘要
Firstly, a direct algebraic method and a routine way in finding traveling wave solutions to nonlinear evolution equations are explained. And then some new exact solutions for some evolution equations are obtained by using the method.
基金
国家自然科学基金,江苏省教育厅自然科学基金
同被引文献15
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1Yishen Li,Jin E. Zhang.Darboux transformations of classical Boussinesq system and its multi-soliton solutions[J]. Physics Letters A . 2001 (6) 被引量:1
-
2Mingliang Wang,Yubin Zhou,Zhibin Li.Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics[J]. Physics Letters A . 1996 (1) 被引量:2
-
3Mingliang Wang.Exact solutions for a compound KdV-Burgers equation[J]. Physics Letters A . 1996 (5) 被引量:2
-
4Mingliang Wang.Solitary wave solutions for variant Boussinesq equations[J]. Physics Letters A . 1995 (3) 被引量:3
-
5Gu Chaohao,Hu Hesheng.A unified explicit form of B?cklund transformations for generalized hierarchies of KdV equations[J]. Letters in Mathematical Physics . 1986 (4) 被引量:1
-
6Wadati M.Wave propagation in nonlinear lattices, I. II. Journal of the Physical Society of Japan . 1975 被引量:1
-
7M. Musette,R. Conte.Algorithmic method for deriving Lax pairs from the invariant Painlev\’e analysis of nonlinear partial differential equations. Journal of Mathematical Physics . 1991 被引量:1
-
8Ablowitz MJ,Segur H.Solitons and the Inverse Scattering Transform. Journal of Women s Health . 1981 被引量:3
-
9Hirota R.Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices. Journal of Mathematics . 1973 被引量:4
-
10Zakharov VE,Shabat AB.Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media. Soviet Physics JETP . 1972 被引量:1
-
1汤华中,戴嘉尊.Burgers方程的一类组显式差分格式[J].南京理工大学学报,1995,19(1):53-57. 被引量:12
-
2王明亮.位势Burgers方程的对称及应用[J].兰州大学学报(自然科学版),1993,29(4):14-18. 被引量:2
-
3陈黎丽.Burgers方程的对称性约化[J].宁波师院学报,1995,13(1):31-36.
-
4吕咸青.Burgers激波解的稳定性[J].应用数学和力学,1993,14(10):929-930.
-
5马龙,马红权,陈书文,叶婷婷.求解伯格斯方程的几种算法[J].新课程,2016,0(21):90-91.
-
6韩英豪,苏红,于吉霞.随机2-维纳维-斯托克斯-伯格斯方程的不变测度的存在性[J].延边大学学报(自然科学版),2013,39(3):161-166. 被引量:1
-
7李春宜.Particular Solutions of Generalized Linear Second Differential Equations by Fractional Calculus[J].Journal of Southeast University(English Edition),1998,14(2):101-107.
-
8梁衍章.具时间系数的Burgers方程的初边值问题[J].哈尔滨师范大学自然科学学报,1994,10(2):10-15.
-
9刘式适,付遵涛,刘式达,赵强.A SIMPLE FAST METHOD IN FINDING PARTICULAR SOLUTIONS OF SOME NONLINEAR PDE[J].Applied Mathematics and Mechanics(English Edition),2001,22(3):326-331. 被引量:2
-
10M. Ferdousi,S. Yasmin,S. Ashraf,A. A. Mamun.Ion-Acoustic Shock Waves in Nonextensive Electron-Positron-Ion Plasma[J].Chinese Physics Letters,2015,32(1):95-99. 被引量:1