On the propagation of localized perturbations in media with microstructure

被引：0

作者：

Ilison, Lauri ^{[1
,2
]}

Salupere, Andrus ^{[1
,2
]}

Peterson, Pearu ^{[1
]}

机构：

[1] Tallinn Univ Technol, Inst Cybernet, Ctr Nonlinear Studies, EE-12618 Tallinn, Estonia

[2] Tallinn Univ Technol, Dept Mech, EE-19086 Tallinn, Estonia

来源：

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES-PHYSICS MATHEMATICS | 2007年 / 56卷 / 02期

关键词：

dilatant granular materials; solitons; wave hierarchies; Korteweg-de Vries type evolution equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The propagation of solitary waves in dilatant granular materials is studied using the hierarchical Korteweg-de Vries type evolution equation. The model equation is solved numerically under localized initial conditions by the pseudospectral method. The behaviour of the solution is analysed over a wide range of material parameters (two dispersion parameters and one microstructure parameter). Five solution types are introduced. Special attention is paid to the solitonic character of solutions.

引用

页码：84 / 92

页数：9

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