General explicit solutions of a classical Boussinesq system

doi:10.1088/1009-1963/11/10/303

中国物理B ›› 2002, Vol. 11 ›› Issue (10): 993-995.doi: 10.1088/1009-1963/11/10/303

General explicit solutions of a classical Boussinesq system

张善卿¹, 李志斌¹, 徐桂琼²

(1)Department of Computer Science, East China Normal University, Shanghai 200062, China; (2)Department of Computer Science, East China Normal University, Shanghai 200062, China; Department of Information Engineering and Administration, Shanghai University, Shanghai 200436, China

收稿日期:2002-04-11 修回日期:2002-06-18 出版日期:2002-10-12 发布日期:2005-06-12
基金资助:
Project supported by the State Key Programme of Basic Research of China (Grant No G1998030600) and by the Natural Science Foundation of Shanghai, China (Grant No ZD14012).

General explicit solutions of a classical Boussinesq system

Zhang Shan-Qing (张善卿)^a, Xu Gui-Qiong (徐桂琼)^ab, Li Zhi-Bin (李志斌)^a

^a Department of Computer Science, East China Normal University, Shanghai 200062, China; ^b Department of Information Engineering and Administration, Shanghai University, Shanghai 200436, China

Received:2002-04-11 Revised:2002-06-18 Online:2002-10-12 Published:2005-06-12
Supported by:
Project supported by the State Key Programme of Basic Research of China (Grant No G1998030600) and by the Natural Science Foundation of Shanghai, China (Grant No ZD14012).

摘要/Abstract

摘要： Seeking a travelling wave solution of the classical Boussinesq system and making an ansatz for the solution, we obtain a nonlinear system of algebraic equations. We solve the system using an effective algorithm and then two general explicit solutions are obtained which are of physical interest.

Abstract: Seeking a travelling wave solution of the classical Boussinesq system and making an ansatz for the solution, we obtain a nonlinear system of algebraic equations. We solve the system using an effective algorithm and then two general explicit solutions are obtained which are of physical interest.

Key words: explicit solution, soliton, nonlinear equation

中图分类号: (Hydrodynamic waves)

47.35.-i

02.30.-f (Function theory, analysis)

张善卿, 徐桂琼, 李志斌. General explicit solutions of a classical Boussinesq system[J]. 中国物理B, 2002, 11(10): 993-995.

Zhang Shan-Qing (张善卿), Xu Gui-Qiong (徐桂琼), Li Zhi-Bin (李志斌). General explicit solutions of a classical Boussinesq system[J]. Chinese Physics, 2002, 11(10): 993-995.

[1]	Na Xie(谢娜). Analysis of natural frequency for imaging interface in liquid lens[J]. 中国物理B, 2021, 30(10): 104702-104702.
[2]	孙海涛, 程营, 王敬时, 刘晓峻. Wavefront modulation of water surface wave by a metasurface[J]. 中国物理B, 2015, 24(10): 104302-104302.
[3]	Nathaniel E U, Beloff N, George N J. Instantaneous frequency and wave mode identification in a magnetosheath using few spatial points[J]. 中国物理B, 2013, 22(8): 84701-084701.
[4]	钟兰花, 吴福根, 钟会林. Effects of orientation and shape of holes on the band gaps in water waves over periodically drilled bottoms[J]. 中国物理B, 2010, 19(2): 20301-020301.
[5]	陈小刚, 郭志萍, 宋金宝, 赫晓东, 郭军明, 包曙红, 崔巍. Third-order Stokes wave solutions for interfacial internalwaves in three-layer dendity-stratified fluid[J]. 中国物理B, 2009, 18(5): 1906-1916.
[6]	陈永强, 唐熊忻, 徐鉴君. Three-dimensional interfacial wave theory of dendritic growth: (I). multiple variables expansion solutions[J]. 中国物理B, 2009, 18(2): 671-685.
[7]	陈永强, 唐熊忻, 徐鉴君. Three-dimensional interfacial wave theory of dendritic growth: (II). non-axi-symmetric global wave modes and selection criterion of pattern formation[J]. 中国物理B, 2009, 18(2): 686-698.
[8]	陈小刚, 郭志萍, 宋金宝. Second-order solutions for random interfacial waves in N-layer density-stratified fluid with steady uniform currents[J]. 中国物理B, 2008, 17(9): 3387-3393.
[9]	杨红丽, 宋金宝, 杨联贵, 刘永军. A kind of extended Korteweg--de Vries equation and solitary wave solutions for interfacial waves in a two-fluid system[J]. 中国物理B, 2007, 16(12): 3589-3594.
[10]	刘成仕. The classification of travelling wave solutions and superposition of multi-solutions to Camassa-- Holm equation with dispersion[J]. 中国物理B, 2007, 16(7): 1832-1837.
[11]	宋金宝. A set of Boussinesq-type equations for interfacial internal waves in two-layer stratified fluid[J]. 中国物理B, 2006, 15(12): 2796-2803.
[12]	李国栋, 黄永念. Different localized states of travelling-wave convection in a rectangular container[J]. 中国物理B, 2006, 15(12): 2984-2988.
[13]	吴云岗, 陶明德. Interaction of a submerged horseshoe vortex with a free surface[J]. 中国物理B, 2006, 15(6): 1137-1142.
[14]	菅永军, 鄂学全, 张杰, 孟俊敏. Surface waves in a vertically excited circular cylindrical container[J]. 中国物理B, 2004, 13(10): 1623-1630.
[15]	菅永军, 鄂学全. Instability of the vertically forced surface wave in a circular cylindrical container[J]. 中国物理B, 2004, 13(10): 1631-1638.

General explicit solutions of a classical Boussinesq system

General explicit solutions of a classical Boussinesq system

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0