Analytical solutions of long nonlinear internal waves: Part I

被引：24

作者：

Hamdi, Samir ^{[1
]}

Morse, Brian ^{[2
]}

Halphen, Bernard ^{[1
]}

Schiesser, William ^{[3
]}

机构：

[1] Ecole Polytech, Solid Mech Lab LMS, F-91128 Paris, France

[2] Univ Laval, Dept Civil & Water Engn, Quebec City, PQ G1V 0A6, Canada

[3] Lehigh Univ, Bethlehem, PA 18015 USA

来源：

NATURAL HAZARDS | 2011年 / 57卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Extended KdV equation; Generalized Gardner equation; Cubic nonlinearity; Internal waves; Solitary waves; SOLITARY WAVES; TIDE TRANSFORMATION; SOLITONS; MODEL; GENERATION;

D O I：

10.1007/s11069-011-9757-0

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

The Gardner equation is an extension of the Korteweg-de Vries (KdV) equation. It exhibits basically the same properties as the classical KdV, but extends its range of validity to a wider interval of the parameters of the internal wave motion for a given environment. In this paper, we derive exact solitary wave solutions for the generalized Gardner equation that includes nonlinear terms of any order. Unlike previous studies, the exact solutions are derived without assuming their mathematical form. Illustrative examples for internal solitary waves are also provided. The traveling wave solutions can be used to specify initial data for the incident waves in internal waves numerical models and for the verification and validation of the associated computed solutions.

引用

页码：597 / 607

页数：11