Soliton Solutions for a Negative Order AKNS Equation Hierarchy 被引量：1

Soliton Solutions for a Negative Order AKNS Equation Hierarchy

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摘要 In this paper,bilinear form of a negative order AKNS equation hierarchy is given.The soliton solutionsare obtained through Hiorta's direct method.

作者 JI Jie ZHANG Jian-Bing ZHANG Da-Jun

机构地区 College of Statistics and Mathematics School of Mathematics Science Department of Mathematics

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第9期395-397,共3页 理论物理通讯（英文版）

基金 Supported by National Natural Science Foundation of China under Grant Nos.10671121 and 10871165

关键词 negative order AKNS equation hierarchy Hiorta＇s direct method soliton solution AKNS方程族孤子解变元双线性形式直接方法

分类号 O411.1 [理学—理论物理] O175.29 [理学—基础数学]

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参考文献23

1J.M. Verosky, J. Math. Phys. 32 (1991) 1733.
2V.A. Andreev and M.V. Shmakova, J. Math. Phys. 34 (1993) 3491.
3S.Y. Lou, J. Phys. A: Math. Gen. 26 (1993) L789.
4S.Y. Lou, J. Math. Phys. 35 (1994) 2336.
5S.Y. Lou, J. Math. Phys. 35 (1994) 2390.
6R.G. Zhou, J. Math. Phys. 36 (1995) 4220.
7A. Sakovich and S. Sakovich, J. Phys. Soc. Jpn. 74 (2005) 239.
8J.C. Brunelli, J. Math. Phys. 46 (2005) 123507.
9R. Camassa and D.D. Holm, Phys. Rev. Lett. 71 (1993) 1661.
10A. Parker, Proc. R. Soc. A 461 (2005) 3611.

同被引文献2

1赵松林,张大军,季杰.Exact Solutions for Two Equation Hierarchies[J].Chinese Physics Letters,2010,27(2):1-7. 被引量：1
2郝宏海,张大军,张建兵,姚玉芹.Rational and Periodic Solutions for a (2+1)-Dimensional Breaking Soliton Equation Associated with ZS-AKNS Hierarchy[J].Communications in Theoretical Physics,2010(3):430-434. 被引量：1

引证文献1

1Jing Wang,Hua Wu,Da-jun Zhang.Solutions of the nonlocal(2+1)-D breaking solitons hierarchy and the negative order AKNS hierarchy[J].Communications in Theoretical Physics,2020,72(4):11-22. 被引量：1

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1Abdselam Silem,Hua Wu,Da-jun Zhang.Nonisospectral effects on generating localized waves[J].Communications in Theoretical Physics,2021,73(11):18-30. 被引量：1

1程智龙,郝晓红.The Travelling Wave Solutions for （2＋1）-dimensional AKNS Equation[J].Chinese Quarterly Journal of Mathematics,2015,30(3):323-329. 被引量：3
2CHEN DenYuan,ZHANG DaJun,BI JinBo.New double Wronskian solutions of the AKNS equation[J].Science China Mathematics,2008,51(1):55-69. 被引量：8
3JI Jie,ZHAO Song-Lin,ZHANG Da-Jun.Soliton Solutions for a Negative Order AKNS Equation[J].Communications in Theoretical Physics,2008,50(11):1033-1035. 被引量：1
4季杰,董亚娟.New Integrable Decomposition of Super AKNS Equation[J].Communications in Theoretical Physics,2010(11):803-808.
5郝宏海,吕丽丽.Exact solutions for the mixed AKNS equation： Hirota approach[J].Journal of Shanghai University(English Edition),2007,11(3):241-244. 被引量：1
6Jie JI,Haihua LU,Yuqing LIU.A New 4×4 AKNS Spectral Problem and Its Associated Integrable Decomposition of the AKNS Equation[J].Chinese Annals of Mathematics,Series B,2008,29(2):147-154. 被引量：1
7于发军.R-Matrix of the Coupling AKNS Equation Hierarchy[J].Chinese Physics Letters,2008,25(10):3519-3522. 被引量：2
8BI Jin-Bo SUN Ye-Peng CHEN Deng-Yuan.Soliton Solutions for Nonisospectral AKNS Equation by Hirota＇s Method[J].Communications in Theoretical Physics,2006,45(3):398-400. 被引量：1
9于发军.Noncommutative AKNS Equation Hierarchy and Its Integrable Couplings with Kronecker Product[J].Chinese Physics Letters,2008,25(2):359-362. 被引量：2
10于发军,李丽.A new multi-component integrable coupling system for AKNS equation hierarchy with sixteen-potential functions[J].Chinese Physics B,2009,18(9):3651-3656.

Communications in Theoretical Physics

2009年第9期

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Soliton Solutions for a Negative Order AKNS Equation Hierarchy 被引量：1

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