Solitary waves in variable medium
In the coastal ocean, the interaction of adensity stratified flow with topography generates large-amplitude, horizontally propagating internal solitary waves. Often these waves are observed in regions where the waveguide properties vary in the direction of propagation. In this talk we consider nonlinear evolution equations of the Korteweg-deVries type, with variable coefficients, and use these models to describe the shoaling of internal solitary waves over the continental shelf and slope, based on the asymptotic theory of slowly-varying solitary waves. We shall emphasize the critical role played by those special locations where the coefficient of either the quadratic, or the cubic, nonlinear term vanishes.
Roger Grimshaw
Department of Mathematical Sciences, Loughborough University,Loughborough, LE113TU, UK
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
21-25
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）