Integrable KP Coupling and Its Exact Solution

Integrable KP Coupling and Its Exact Solution

导出

摘要 The integrable coupling is one of the most important topics in the nonlinear physics. This paper creates a novel integrable KP coupling and solves it via a recently-developed dark parameterization procedure.

作者彭凌杨旭东楼森岳

机构地区 School of Economics and Business Administration Faculty of Science Department of Physics

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第7期1-4,共4页 理论物理通讯（英文版）

基金 Supported by the National Natural Science Foundation of China under Grant Nos. 10735030 and 11175092 Scientific Research Fund of Zhejiang Provincial Education Department under Grant No. Y201017148 K.C. Wong Magna Fund in Ningbo University

关键词 dark parameterization exact solutions 耦合精确解非线性物理学可积

分类号 O411.1 [理学—理论物理] O175 [理学—基础数学]

引文网络
相关文献

参考文献10

1M.J. Ablowitz and P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, Cambridge (1991).
2W.X. Ma and B. Fuchssteiner, Phys. Lett. A 213 (1996) 49.
3W.X. Ma, Meth. Appl. Anal. 7 (2000) 21.
4J. Math. Phys. 43 (2002) 1408.
5Z.Y. Yah and H.Q. Zhang, J. Math. Phys. 43 (2002) 4978.
6Z.Y. Yan and M.M. Research, Preprints, 326-340 MMRC, AMSS, Academia Sinica, No. 23, Dec. 2004.
7A.H. Nayfeh, Perturbation Methods, Wiley, New York (1973).
8S.Y. Lou, Commun. Theor. Phys. 55 (2011) 743.
9F. Wilczek, Phys. Rev. Lett. 49 (1982) 957.
10F. Michael, A. Kitaev, M. Larsen, and Z.H. Wang, Bull. Amer. Math. Soc. 40 (2002) 31.

1LI Zhu.Liouville Integrable System and Associated Integrable Coupling[J].Communications in Theoretical Physics,2009,52(12):987-991.
2李柱.Discrete integrable system and its integrable coupling[J].Chinese Physics B,2009,18(3):850-855. 被引量：1
3郭福奎,张玉峰.INTEGRABLE COUPLING OF THE TC HIERARCHY OF EQUATIONS[J].Annals of Differential Equations,2004,20(3):243-247. 被引量：1
4张玉峰,闫庆友.AN INTEGRABLE COUPLING OF THE GENERALIZED AKNS HIERARCHY[J].Annals of Differential Equations,2002,18(4):431-437. 被引量：1
5林长,林麦麦.New DLW Hierarchy of an Integrable Coupling and Its Hamiltonian Structure[J].Communications in Theoretical Physics,2011,55(6):1012-1016.
6Wencai Zhao (College of Science, Shandong University of Science and Technology, Qingdao 266510, Shandong) Ling Li (College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, Shandong).TWO CLASSES OF INTEGRABLE COUPLING FOR AKNS HIERARCHY[J].Annals of Differential Equations,2009,25(4):495-501.
7李欣越,宋宏伟.Higher-Dimensional Lie Algebra and New Integrable Coupling of Discrete KdV Equation[J].Communications in Theoretical Physics,2010(7):7-15.
8GUO Fu-Kui ZHANG Yu-Feng.Integrable Coupling of KN Hierarchy and Its Hamiltonian Structure[J].Communications in Theoretical Physics,2006,45(5):799-801.
9刘希忠,俞军,任博,杨建荣.Residual symmetry reductions and interaction solutions of the (2+1)-dimensional Burgers equation[J].Chinese Physics B,2015,24(1):132-138. 被引量：1
10Dong Xia,Tiecheng Xia,Desheng Li.THE FRACTIONAL QUADRATIC-FORM IDENTITY AND BI-HAMILTONIAN STRUCTURES OF AN INTEGRABLE COUPLING OF THE FRACTIONAL COUPLED BURGERS HIERARCHY[J].Annals of Differential Equations,2014,30(4):438-448.

Communications in Theoretical Physics

2012年第7期

浏览历史

内容加载中请稍等...

Integrable KP Coupling and Its Exact Solution

参考文献10

相关作者

相关机构

相关主题

浏览历史