An Automated Jacobi Elliptic Function Method for Finding Periodic Wave Solutions to Nonlinear Evolution Equation
被引量:3
参考文献9
-
1Malfliet W 1992 Am. J. Phys. 60 650 被引量:1
-
2Malfliet W and Herman W 1996 Phys. Scr. 54 563 被引量:1
-
3Li Z B and Zhang S Q 1997 Acta Math. Sin. 17 81 (in Chinese) 被引量:1
-
4Parkes E J and Duffy B R 1996 Comput. Phys. Commun.98 288 被引量:1
-
5Fan E G 2000 Phys. Lett. A 277 212 被引量:1
-
6Li Z B and Liu Y P 2002 Comput. Phys. Commun. at press 被引量:1
-
7Liu S K, Fu Z T, Liu S D and Zhao Q 2001 Appl. Math.Mech. 22 326 被引量:1
-
8Fu Z T, Liu S K, Liu S D and Zhao Q 2001 Phys. Lett. A 290 72 被引量:1
-
9Hunter J K and Scheurle J 1988 Physica D 32 253 被引量:1
同被引文献6
-
1王文洽.色散方程的一类新的并行交替分段隐格式[J].计算数学,2005,27(2):129-140. 被引量:21
-
2范恩贵,张鸿庆.Whitham_Broer_Kaup浅水波方程的Backlund变换和精确解[J].应用数学和力学,1998,19(8):667-670. 被引量:21
-
3张建勋,古志民,郑超.云计算研究进展综述[J].计算机应用研究,2010,27(2):429-433. 被引量:589
-
4范恩贵.齐次平衡法、Weiss-Tabor-Carnevale法及Clarkson-Kruskal约化法之间的联系[J].物理学报,2000,49(8):1409-1412. 被引量:64
-
5MA Wen-Xiu.A refined invariant subspace method and applications to evolution equations[J].Science China Mathematics,2012,55(9):1769-1778. 被引量:21
-
6Variable Separation and Exact Solutions to Generalized Nonlinear Diffusion Equations[J].Chinese Physics Letters,2002,19(12):1741-1744. 被引量:9
-
1HONG BAO-JIAN.New Jacobi Elliptic Function Solutions for the Generalized Nizhnik-Novikov-Veselov Equation[J].Communications in Mathematical Research,2012,28(1):43-50.
-
2WANG Qing.The Jacobi Elliptic Function Method for Solving Zakharov Equation[J].Chinese Quarterly Journal of Mathematics,2014,29(4):627-632.
-
3陈勇,李彪,张鸿庆.Extended Jacobi elliptic function method and its applications to (2+l)-dimensional dispersive long-wave equation[J].Chinese Physics B,2004,13(1):5-10. 被引量:1
-
4安里千.CCD Automated Polariscope System and the Stress Analysis Methods[J].Applied Mathematics and Mechanics(English Edition),1994,15(4):359-364.
-
5Jiaofeng ZHU,Yinping LIU.AUTOMATED DERIVATION OF THE CONSERVATION LAWS FOR NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS[J].Journal of Systems Science & Complexity,2012,25(6):1234-1248.
-
6柳银萍,李志斌.An Automated Algebraic Method for Finding a Series of Exact Travelling Wave Solutions of Nonlinear Evolution Equations[J].Chinese Physics Letters,2003,20(3):317-320. 被引量:6
-
7ZHANG Yuan-Yuan WANG Qi ZHANG Hong-Qing.Further Extended Jacobi Elliptic Function Rational Expansion Method and New Families of Jacobi Elliptic Function Solutions to (2+1)-Dimensional Dispersive Long Wave Equation[J].Communications in Theoretical Physics,2006,45(2):199-206.
-
8CHEN Jiang,HE Hong-Sheng,YANG Kong-Qing.A Generalized F-expansion Method and Its Application in High-Dimensional Nonlinear Evolution Equation[J].Communications in Theoretical Physics,2005,44(2X):307-310. 被引量:1
-
9陈怀堂,张鸿庆.New doubly periodic and multiple soliton solutions of the generalized (3+l)-dimensional KP equation with variable coefficients[J].Chinese Physics B,2003,12(11):1202-1207. 被引量:2
;