Adaptive method of lines solutions for the extended fifth-order Korteweg-de Vries equation

被引：14
|
作者：
Saucez, P
Wouwer, AV
Zegeling, PA
机构：
[1] Fac Polytech Mons, Serv Automat, B-7000 Mons, Belgium
[2] Fac Polytech Mons, Serv Math & Rech Operationnelle, Mons, Belgium
[3] Univ Utrecht, Inst Math, NL-3508 TC Utrecht, Netherlands
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 183卷 / 02期
关键词：
solitary waves; nonlinear dynamics; water waves; wave interaction; adaptive mesh method; finite differences; method of lines;
D O I：
10.1016/j.cam.2004.12.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the dynamics and interaction properties of recently discovered "embedded solitons" in an extended fifth-order KdV model inspired by water waves in the presence of surface tension. The dynamical behaviour of the solitons can be efficiently followed by using a moving or an adaptive finite difference mesh in combination with a suitable time-integrator. We will demonstrate this numerically for different types of wave solutions, such as solitary waves, multihumped waves, and interacting waves. (c) 2005 Elsevier B.V. All rights reserved.
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页码：343 / 357
页数：15
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