一类扰动非线性发展方程的孤立子同伦映射行波渐近解被引量：1

The Travelling Wave Asymptotic Solution of Soliton for Homotopic Mapping to a Class of Disturbed Nonlinear Evolution Equation

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摘要采用了一个泛函微分同伦映射技巧,研究了一类扰动非线性发展方程.首先引入求解一个相应典型方程的孤立子解.然后利用同伦映射方法得到了原扰动非线性发展方程的渐近解. A class of disturbed nonlinear evolution equation is considered first introduce soliton solution of a corresponding typical differential equation. And then the asymptotic solution for the original disturbed nonlinear evolution equation is obtained using the homotopic mapping method.

作者莫嘉琪

机构地区安徽师范大学数学计算机科学学院

出处《安徽师范大学学报（自然科学版）》 CAS 2017年第3期205-209,共5页 Journal of Anhui Normal University(Natural Science)

基金国家自然科学基金项目(11371248)

关键词孤立子扰动发展方程同伦映射 soliton disturbed evolution equation homotopic mapping

分类号 O175.29 [理学—基础数学]

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参考文献23

1欧阳成,姚静荪,石兰芳,莫嘉琪.一类尘埃等离子体孤波解[J].物理学报,2014,63(11):13-20. 被引量：18
2MO Jia-Qi.Solution of Travelling Wave for Nonlinear Disturbed Long-Wave System[J].Communications in Theoretical Physics,2011,55(3):387-390. 被引量：33
3莫嘉琪.Approximate Solution of Homotopic Mapping to Solitary Wave for Generalized Nonlinear KdV System[J].Chinese Physics Letters,2009,26(1):13-16. 被引量：66
4莫嘉琪.一类非线性扰动发展方程的广义迭代解[J].物理学报,2011,60(2):10-14. 被引量：6
5MA Song-Hua QIANG Ji-Ye FANG Jian-Ping.Annihilation Solitons and Chaotic Solitons for the （2＋1）-Dimensional Breaking Soliton System[J].Communications in Theoretical Physics,2007,48(4X):662-666. 被引量：10
6许永红,韩祥临,石兰芳,莫嘉琪.薛定谔扰动耦合系统孤波的行波近似解法[J].物理学报,2014,63(9):21-27. 被引量：5
7冯依虎,石兰芳,汪维刚,莫嘉琪.一类广义非线性强阻尼扰动发展方程的行波解[J].应用数学和力学,2015,36(3):315-324. 被引量：22
8莫嘉琪,林苏榕.The homotopic mapping solution for the solitary wave for a generalized nonlinear evolution equation[J].Chinese Physics B,2009,18(9):3628-3631. 被引量：21
9套格图桑,伊丽娜.广义Zakharov-Kuzentsov方程的类孤子新解[J].量子电子学报,2015,32(3):290-300. 被引量：11
10李琴兰,陈浩.关于修正的一维分子晶体模型的孤子激发[J].原子与分子物理学报,2015,32(1):139-143. 被引量：5

二级参考文献332

1MO JiaQi1,2 1 Anhui Normal University, Wuhu 241000, China,2 Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China.Homotopic mapping solving method for gain fluency of a laser pulse amplifier[J].Science China(Physics,Mechanics & Astronomy),2009,52(7):1007-1010. 被引量：124
2YINJINGXUE,WANGCHuNPENG.PROPERTIES OF THE BOUNDARY FLUX OF A SINGULAR DIFFUSION PROCESS[J].Chinese Annals of Mathematics,Series B,2004,25(2):175-182. 被引量：17
3石玉仁,郭鹏,吕克璞,段文山.修正Jacobi椭圆函数展开法及其应用[J].物理学报,2004,53(10):3265-3269. 被引量：32
4潘留仙,左伟明,颜家壬.Landau-Ginzburg-Higgs方程的微扰理论[J].物理学报,2005,54(1):1-5. 被引量：36
5田贵辰,刘希强.含外力项的广义变系数KdV方程的精确解[J].量子电子学报,2005,22(3):339-343. 被引量：26
6王建,高文杰.具非线性边值条件的发展型p-Laplace方程解在有限时刻的爆破性和有界性[J].吉林大学学报（理学版）,2005,43(4):395-401. 被引量：6
7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
8LIU Chun-Ping.Comment on “Computer Algebra and Solutions to the Karamoto-Sivashinsky Equation” [Commun. Theor. Phys. （Beijing, China） 43 （2005） 39][J].Communications in Theoretical Physics,2005,44(4X):609-610. 被引量：126
9套格图桑,斯仁道尔吉.New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov-Kuzentsov equation[J].Chinese Physics B,2006,15(6):1143-1148. 被引量：14
10莫嘉琪,张伟江,何铭.激光脉冲放大器传输波的计算[J].物理学报,2006,55(7):3233-3236. 被引量：25

共引文献367

1林万涛,莫嘉琪.简单ENSO海-气耦合模式摄动解的渐近性态[J].科学通报,2003,48(z1):78-81. 被引量：1
2Yao Jingsun, Mo Jiaqi (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).SINGULARLY PERTURBED SOLUTION TO SEMILINEAR HIGHER ORDER REACTION DIFFUSION EQUATIONS WITH TWO PARAMETERS[J].Annals of Differential Equations,2009,25(1):91-96. 被引量：1
3莫嘉琪.具有奇性方程的非线性奇摄动问题的正解(英文)[J].应用数学,2010(1):13-17. 被引量：1
4LIU,Qi-lin(刘其林),MO,Jia-qi(莫嘉琪).THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR THE SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS OF THE REACTION DIFFUSION EQUATIONS IN A PART OF DOMAIN[J].Applied Mathematics and Mechanics(English Edition),2001,22(10):1192-1197. 被引量：1
5Liu Shude~1 Chen Lihua~2 Mo Jiaqi~(1,3) (1.Dept.of Math.,Anhui Normal University,Wuhu 241000,Anhui,2.Dept.of Math.,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian,3.Division of Computational Science,E-Institutes of Shanghai Universities,at SJTU,Shanghai 200240).THE INITIAL-BOUNDARY VALUE PROBLEMS OF NONLINEAR AND NONLOCAL SINGULARLY PERTURBED REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2008,24(1):20-28. 被引量：5
6Mo Jiaqi1,2,Yao Jingsun1(1. Dept. of Math.,Anhui Normal University,Wuhu 241000,Anhui,2. Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240).THE GENERALIZED FUNCTIONAL-VARIATION SOLVING METHODS FOR NONLINEAR REACTION DIFFUSION IN BIONOMICS OF SPECIES GROUPS[J].Annals of Differential Equations,2008,24(2):193-196. 被引量：1
7Jingsun Yao, Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO NONLINEAR REACTION DIFFUSION EQUATION WITH TWO SMALL PARAMETERS[J].Annals of Differential Equations,2010,26(1):100-104.
8Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO NONLINEAR ECOLOGICAL REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2010,26(3):292-296.
9Jiaqi Mo 1,2 , Jingsun Yao 1 (1. Dept. of Math., Anhui Normal University, Wuhu 241003, Anhui,2. Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO MODEL FOR A CLASS OF VIRUS TRANSMISSION[J].Annals of Differential Equations,2010,26(4):436-441. 被引量：1
10Lihua Chen Dept.of Math.and Computer Science,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian Jiaqi Mo Dept.of Math.,Anhui Normal University,Wuhu 241003,Anhui,Faculty of Science,Huzhou Teacher College,Huzhou 313000,Zhejiang,.THE INTERIOR LAYER SOLUTION TO NONLOCAL REACTION DIFFUSION EQUATIONS[J].Annals of Differential Equations,2011,27(4):434-439.

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1徐桂琼,李志斌.EXPLICIT SOLUTIONS TO THE COUPLED KdV EQUATIONS WITH VARIABLE COEFFICIENTS[J].Applied Mathematics and Mechanics(English Edition),2005,26(1):101-107. 被引量：1
2文双春,徐文成,郭旗,刘颂豪.变系数非线性Schrǒdinger方程孤子的演化[J].中国科学（A辑）,1997,27(10):949-953. 被引量：15
3闫振亚,张鸿庆.SIMILARITY REDUCTIONS FOR 2+1-DIMENSIONAL VARIABLE COEFFICIENT GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION[J].Applied Mathematics and Mechanics(English Edition),2000,21(6):645-650. 被引量：1
4阮航宇,陈一新.寻找变系数非线性方程精确解的新方法[J].物理学报,2000,49(2):177-180. 被引量：27
5杜增吉,莫嘉琪.一类扰动发展方程近似解[J].物理学报,2012,61(15):338-342. 被引量：2
6张解放,陈芳跃.截断展开方法和广义变系数KdV方程新的精确类孤子解[J].物理学报,2001,50(9):1648-1650. 被引量：111
7张金良,胡晓敏,王明亮.变系数KdV方程组的Bcklund变换及其精确解[J].杭州电子工业学院学报,2002,22(1):59-61. 被引量：7
8徐桂琼,李志斌.构造非线性发展方程孤波解的混合指数方法[J].物理学报,2002,51(5):946-950. 被引量：62
9冯依虎,陈贤峰,莫嘉琪.一类非线性双曲型发展方程的孤子解[J].应用数学和力学,2015,36(10):1076-1084. 被引量：1
10刘式适,付遵涛,刘式达,赵强.变系数非线性方程的Jacobi椭圆函数展开解[J].物理学报,2002,51(9):1923-1926. 被引量：100

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1刘韡,付紫硕,田陈.辅助方程法求变系数KdV方程组的精确解[J].西北大学学报（自然科学版）,2020,50(6):955-959. 被引量：1

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1刘林祥,曾晶.一类耦合KdV方程组的多孤子解[J].宁德师范学院学报（自然科学版）,2023,35(1):7-12.

1郭柏灵.孤立子[J].百科知识,1990(1):48-50. 被引量：2
2冯依虎,陈怀军,莫嘉琪.激光脉冲放大器增益通量耦合系统解[J].应用数学和力学,2017,38(7):837-844. 被引量：2
3贾化冰.Benjamin-Bona-Mahoney方程的行波解(英文)[J].宝鸡文理学院学报（自然科学版）,2017,37(2):1-10.

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一类扰动非线性发展方程的孤立子同伦映射行波渐近解被引量：1

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一类扰动非线性发展方程的孤立子同伦映射行波渐近解被引量：1