Search Advanced
2017 Volume 26 Issue 5
Article Contents
Previous Article Next Article

Feng Wu, Zheng Yao, Wanxie Zhong. 2017: Fully nonlinear (2+1)-dimensional displacement shallow water wave equation, Chinese Physics B, 26(5): 253-258. doi: 10.1088/1674-1056/26/5/054501
Citation: Feng Wu, Zheng Yao, Wanxie Zhong. 2017: Fully nonlinear (2+1)-dimensional displacement shallow water wave equation, Chinese Physics B, 26(5): 253-258. doi: 10.1088/1674-1056/26/5/054501
shu

Fully nonlinear (2+1)-dimensional displacement shallow water wave equation

  • State Key Laboratory of Structural Analysis of Industrial Equipment, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, China

  • Transportation Equipments and Ocean Engineering College, Dalian Maritime University, Dalian 116026, China

  • Available Online: 30/12/2017
  • Fund Project: the National Natural Science Foundation of China(Grant .11272076 and 51609034)%China Postdoctoral Science Foundation(Grant 2016M590219)
  • Recently,a new (2+1)-dimensional displacement shallow water wave equation (2DDSWWE) was constructed by applying the variational principle of analytic mechanics in the Lagrange coordinates.However,the simplification of the nonlinear term related to the incompressibility of the shallow water in the 2DDSWWE is a disadvantage of this approach.Applying the theory of nonlinear continuum mechanics,we add some new nonlinear terms to the 2DDSWWE and construct a new fully nonlinear (2+ 1)-dimensional displacement shallow water wave equation (FN2DDSWWE).The presented FN2DDSWWE contains all nonlinear terms related to the incompressibility of shallow water.The exact travelling-wave solution of the proposed FN2DDSWWE is also obtained,and the solitary-wave solution can be deduced from the presented travelling-wave solution under a special selection of integral constants.
  • 加载中
  • 加载中
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Export Citation
PDF
XML

Article Metrics

Article views(77) PDF downloads(0) Cited by(0)

Access History

Fully nonlinear (2+1)-dimensional displacement shallow water wave equation

  • Available Online: 30/12/2017

Abstract: Recently,a new (2+1)-dimensional displacement shallow water wave equation (2DDSWWE) was constructed by applying the variational principle of analytic mechanics in the Lagrange coordinates.However,the simplification of the nonlinear term related to the incompressibility of the shallow water in the 2DDSWWE is a disadvantage of this approach.Applying the theory of nonlinear continuum mechanics,we add some new nonlinear terms to the 2DDSWWE and construct a new fully nonlinear (2+ 1)-dimensional displacement shallow water wave equation (FN2DDSWWE).The presented FN2DDSWWE contains all nonlinear terms related to the incompressibility of shallow water.The exact travelling-wave solution of the proposed FN2DDSWWE is also obtained,and the solitary-wave solution can be deduced from the presented travelling-wave solution under a special selection of integral constants.

    HTML

Reference (0)

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return