Darboux Transformations and Soliton Solutions for Classical Boussinesq-Burgers Equation 被引量：3

Darboux Transformations and Soliton Solutions for Classical Boussinesq-Burgers Equation

下载PDF

导出

摘要 Two basic Darboux transformations of a spectral problem associated with a classical Boussinesq-Burgersequation are presented in this letter.They are used to generate new solutions of the classical Boussinesq-Burgersequation. Two basic Darboux transformations of a spectral problem associated with a classical Boussinesq-Burgers equation are presented in this letter. They are used to generate new solutions of the classical Boussinesq-Burgers equation.

作者 XU Rui

机构地区 School of Mathematical Sciences

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第9期579-582,共4页 理论物理通讯（英文版）

关键词布西涅斯克方程式经典算法孤立子求解方法 classical Boussinesq-Burgers equation, Darboux transformation, soliton solution

分类号 O17 [理学—基础数学]

引文网络
相关文献

参考文献15

1M.J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform, SIAM, Philadelphia (1981).
2S.P, Novikov, S.V. Manakov, L.P. Pitaevskii, and V.E. Zakharov, Theory of Solitons, the Inverse Scattering Methods, Consultants Bureau, New York (1984).
3M. Wadati, K. Konno, and Y.H. Ichikawa, J. Phys. Soc. Jpn. 46 (1979) 1965.
4C.H. Gu, H.S. Hu, and Z.X. Zhou, Darboux Transformation in Soliton Theory and Its Geometric Applications, Shanghai Scientific and Technical Publishers, Shanghai (1999).
5V.B. Matveev and M.A. Salle, Darboux Transformations and Solitons, Springer-Verlag, Berlin (1991).
6G. Neugebauer and D. Kramer, J. Phys. A 16 (1983) 1927.
7G. Neugebauer and R. Meinel, Phys. Lett. A 100 (1984) 467.
8D. Levi, Inverse Problem 4 (1988) 165.
9Z.X. Zhou, Lett. Math. Phys. 16 (1988) 9.
10C.H. Gu, Lett. Math. Phys. 35 (1995) 61.

同被引文献4

1楼森岳,连增菊.Searching for Infinitely Many Symmetries and Exact Solutions via Repeated Similarity Reductions[J].Chinese Physics Letters,2005,22(1):1-4. 被引量：5
2吴建平,耿献国,张晓琳.N-Soliton Solution of a Generalized Hirota-Satsuma Coupled KdV Equation and Its Reduction[J].Chinese Physics Letters,2009,26(2):5-8. 被引量：1
3金艳,贾曼,楼森岳.Nonlocalization of Nonlocal Symmetry and Symmetry Reductions of the Burgers Equation[J].Communications in Theoretical Physics,2012,58(12):795-799. 被引量：6
4曹伟平,费金喜,李冀英.(1+1)维经典Boussinesq-Burgers系统的留数对称和多孤子解[J].丽水学院学报,2017,39(5):8-15. 被引量：3

引证文献3

1曹伟平,费金喜,李冀英.(1+1)维经典Boussinesq-Burgers系统的留数对称和多孤子解[J].丽水学院学报,2017,39(5):8-15. 被引量：3
2Li Qian,Xia Tie-cheng,Chen Deng-yuan.2N + 1-soliton Solutions of Boussinesq-Burgers Equation[J].Communications in Mathematical Research,2017,33(1):26-32.
3呼星汝.(1+1)维经典Boussinesq-Burgers系统的相容Riccati展开可解性和精确解[J].纯粹数学与应用数学,2020,36(3):302-311. 被引量：2

二级引证文献5

1王海燕.提高计量检测水平促进对外贸易发展[J].中国计量,2000(3):31-31.
2邓昌瑞,周小红.(2+1)维广义Bogoyavlensky-Konopelchenko方程的混合型孤子解[J].南昌大学学报（理科版）,2018,42(4):339-342. 被引量：1
3呼星汝.(1+1)维经典Boussinesq-Burgers系统的相容Riccati展开可解性和精确解[J].纯粹数学与应用数学,2020,36(3):302-311. 被引量：2
4郭增鑫,胡彦鑫,辛祥鹏.非线性麦克斯韦方程最优系统及精确解[J].聊城大学学报（自然科学版）,2021,34(4):15-22. 被引量：1
5吕梓帆,张顺利.一类广义KdV方方程的留数对称和CRE可解解性[J].纯粹数学与应用数学,2022,38(2):191-199.

1赵海琼,朱佐农,张京丽.Darboux Transformations and New Explicit Solutions for a Blaszak-Marciniak Three-Field Lattice Equation[J].Communications in Theoretical Physics,2011,56(7):23-30.
2CHEN Jiang,YANG Kong-Qing,HE Hong-Sheng.A Generalization of F-Expansion Method and Its Application to （2＋l）-Dimensional Boussinesq Equation[J].Communications in Theoretical Physics,2007,48(5X):877-880. 被引量：1
3GUGHAOHAO,HUHESHENG.SOME REMARKS ON SINGULAR DARBOUX TRANSFORMATIONS FOR UNITONS[J].Chinese Annals of Mathematics,Series B,2001,22(3):263-266. 被引量：2
4谷超豪,东瑜昕,沈一兵.Constructive factorizations of unitons via singular Darboux transformations[J].Science China Mathematics,2000,43(2):149-157. 被引量：2
5李玉奇,陈俊超,陈勇,楼森岳.Darboux Transformations via Lie Point Symmetries： KdV Equation[J].Chinese Physics Letters,2014,31(1):1-4. 被引量：2
6ZHOKou－Hua TIANChou TIANYong－Bo.Darboux Transformations and Symmetries of a（2＋1）—Extension of Burgers Equation[J].Communications in Theoretical Physics,2003,39(4):409-411. 被引量：7
7东瑜昕.On Darboux and singular Darboux transformations of G-unitons[J].Science China Mathematics,2002,45(12):1498-1505.
8张玉峰,张鸿庆.A FAMILY OF INTEGRABLE SYSTEMS OF LIOUVILLE AND LAX REPRESENTATION, DARBOUX TRANSFORMATIONS FOR ITS CONSTRAINED FLOWS[J].Applied Mathematics and Mechanics(English Edition),2002,23(1):26-34.
9周汝光,陈洁.Two Hierarchies of New Differential-Difference Equations Related to the Darboux Transformations of the Kaup–Newell Hierarchy[J].Communications in Theoretical Physics,2015,63(1):1-6. 被引量：1
10ZUODa-Feng,CHENQing,CHENGYi.Darboux Transformations for Space-Like Isothermic Surfaces in R^m,1[J].Communications in Theoretical Physics,2004,41(6):816-820. 被引量：4

Communications in Theoretical Physics

2008年第9期

浏览历史

内容加载中请稍等...

Darboux Transformations and Soliton Solutions for Classical Boussinesq-Burgers Equation 被引量：3

参考文献15

同被引文献4

引证文献3

二级引证文献5

相关作者

相关机构

相关主题

浏览历史