Exact Traveling Wave Solutions for a Kind of Generalized Ginzburg-Landau Equation 被引量：8

Exact Traveling Wave Solutions for a Kind of Generalized Ginzburg-LandauEquation

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摘要 Using a complete discrimination system for polynomials, new exact traveling wave solutions for generalized Ginzburg-Landau equation are obtained. The method has general meaning for many similar problems.

作者 LIUCheng-Shi

机构地区 DepartmentofMathematics

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5期787-790,共4页 理论物理通讯（英文版）

关键词 generalized Ginzburg-Landau equation elementary integral method polynomialcomplete discrimination system 广义Ginzburg-Landau函数初等积分法多项式完全判别系统

分类号 O411.1 [理学—理论物理]

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参考文献5

1W.G. Zhang, Acta. Math. Sin. 23A (2003) 679. 被引量：1
2C.S. Liu, All exact solutions for a kind of Lienard equation with fivth order strong nonlinear term and applications for nonlinear evolution equations, to submit. 被引量：1
3L. Yang, X.R. Hou, amd Z.B. Zeng, Sci. China E39 (1996)628. 被引量：1
4L. Yang, J.Z. Zhang, and X.R. Hou, Nonlinear Algebraic Equation System and Automated Theorem Proving,Shanghai Science, Technology, and Education Publishing House, Shanghai (1996) p. 169. 被引量：1
5C.S. Liu, Chin. Phys. Lett. 21 (2004) 2369. 被引量：1

同被引文献42

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2刘成仕.Travelling Wave Solutions of Triple Sine-Gordon Equation[J].Chinese Physics Letters,2004,21(12):2369-2371. 被引量：6
3刘成仕,杜兴华.耦合Klein-Gordon-Schrdinger方程新的精确解[J].物理学报,2005,54(3):1039-1043. 被引量：12
4刘成仕.试探方程法及其在非线性发展方程中的应用[J].物理学报,2005,54(6):2505-2509. 被引量：28
5刘成仕.Exact travelling wave solutions for （1＋ 1）-dimensional dispersive long wave equation[J].Chinese Physics B,2005,14(9):1710-1715. 被引量：15
6刘成仕.用试探方程法求变系数非线性发展方程的精确解[J].物理学报,2005,54(10):4506-4510. 被引量：31
7SONG Li-Na ZHANG Hong-Qing.Extended sine-Gordon Equation Method and Its Application to Maccari＇s System[J].Communications in Theoretical Physics,2005,44(5X):783-788. 被引量：2
8LIU Cheng-Shi.New Exact Envelope Traveling Wave Solutions of High-Order Dispersive Cubic-Quintic Nonlinear SchrSdinger Equation[J].Communications in Theoretical Physics,2005,44(5X):799-801. 被引量：3
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10LIU Cheng-Shi.A New Trial Equation Method and Its Applications[J].Communications in Theoretical Physics,2006,45(3):395-397. 被引量：2

引证文献8

1张恩明.利用试探方程法求mKdV方程组的精确行波解[J].哈尔滨师范大学自然科学学报,2007,23(3):26-29. 被引量：1
2杜兴华.非线性耦合标量场方程新的精确行波解[J].数学的实践与认识,2007,37(6):153-159.
3杜兴华.Maccari's方程组新的精确行波解[J].数学的实践与认识,2010,40(13):160-164. 被引量：2
4戴振祥,徐园芬.Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation[J].Applied Mathematics and Mechanics(English Edition),2011,32(12):1615-1622.
5戴振祥,徐园芬.广义的Zakharov方程和Ginzburg-Landau方程的精确解和行波解分支[J].应用数学和力学,2011,32(12):1509-1516. 被引量：2
6唐莉.Dodd-bullough-Mikhailov方程的精确行波解[J].长江大学学报（自科版）（上旬）,2012,9(3):13-14.
7何黎霞,孙峪怀.分数阶Schrodinger-Hirota方程的显示解[J].黑龙江大学自然科学学报,2022,39(2):155-159.
8李文赫,尚佳鑫.Hirota-Satsuma耦合KdV方程组的行波解[J].应用数学学报,2022,45(4):500-508.

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1冯庆江,李岩,杨利垚.用试探函数法求Zakharov-Kuznetsov方程的孤子解[J].长春大学学报,2010,20(6):8-9. 被引量：6
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3代冬岩,朱桂英,李艳凤.2+1维非线性KDV方程组的单行波解分类[J].黑龙江八一农垦大学学报,2017,29(4):133-136.
4黄春,李钊.空时分数阶Joseph-Egri方程的精确行波解[J].宜宾学院学报,2021,21(12):80-84.
5陈兆蕙,邓胜忠,唐跃龙,张星红.一类带扰动的耦合Ginzburg-Landau方程组的一种新解[J].科技通报,2019,0(7):11-15.

1郭伯灵,王碧祥.WEAK SOLUTIONS TO THE TWO-DIMENSIONAL DERIVATIVE GINZBURG-LANDAU EQUATION[J].Acta Mathematicae Applicatae Sinica,1999,15(1):1-8.
2戴振祥,徐园芬.Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation[J].Applied Mathematics and Mechanics(English Edition),2011,32(12):1615-1622.
3Jibin LI,Yi ZHANG.The Exact Traveling Wave Solutions to Two Integrable KdV6 Equations[J].Chinese Annals of Mathematics,Series B,2012,33(2):179-190.
4XU Yuan-Fen.Bifurcations of Exact Traveling Wave Solutions for(2+1)-Dimensional HNLS Equation[J].Communications in Theoretical Physics,2012,57(1):68-70. 被引量：1
5Ji-bin LI Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China Kunming University of Science and Technology, Kunming 650093, China.Exact traveling wave solutions and dynamical behavior for the (n+1)-dimensional multiple sine-Gordon equation[J].Science China Mathematics,2007,50(2):153-164. 被引量：6
6范慧玲,范雪飞,李欣.On the exact solutions to the long short-wave interaction system[J].Chinese Physics B,2014,23(2):25-28. 被引量：1
7张景中,梁松新.复系数多项式完全判别系统及其自动生成[J].中国科学（E辑）,1999,29(1):61-75. 被引量：1
8张再云,甘向阳,余德民,张映辉,李新平.A Note on Exact Traveling Wave Solutions of the Perturbed Nonlinear Schrdinger's Equation with Kerr Law Nonlinearity[J].Communications in Theoretical Physics,2012,57(5):764-770. 被引量：3
9Ji-bin Li,Tian-lan He.Exact Traveling Wave Solutions and Bifurcations in a Nonlinear Elastic Rod Equation[J].Acta Mathematicae Applicatae Sinica,2010,26(2):283-306. 被引量：3
10HuangHaiyang,HuanZhongdan,LuYongqiang.ON THE GLOBAL ATTRACTOR OF GENERALIZED GINZBURG-LANDAU EQUATION IN ONE SPATIAL DIMENSION[J].Journal of Partial Differential Equations,2003,16(4):335-346.

Communications in Theoretical Physics

2005年第5期

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Exact Traveling Wave Solutions for a Kind of Generalized Ginzburg-Landau Equation 被引量：8

参考文献5

同被引文献42

引证文献8

二级引证文献5

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