A study of solitary waves by He's semi-inverse variational principle

作者:Girgis Laila; Biswas Anjan*
来源:Waves in Random and Complex Media, 2011, 21(1): 96-104.
DOI:10.1080/17455030.2010.519128

摘要

The dynamics of solitary waves in the presence of perturbation terms is studied in this paper with the aid of the semi-inverse variational principle. In this paper, shallow water waves as well as internal gravity waves in a density-stratified ocean are considered. These are respectively modeled by the Korteweg-de Vries equation as well as the compound Korteweg-de Vries equation. An analytical solution of the solitary wave is found in each case.

  • 出版日期2011