Backlund Transformations and Superposition Principles in Nonlinear Elastodynamics

被引：8

作者：

Rogers, C. ^{[1
]}

Schief, W. K.

机构：

[1] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

来源：

STUDIES IN APPLIED MATHEMATICS | 2010年 / 124卷 / 02期

关键词：

LARGE-AMPLITUDE WAVES; IMPULSIVELY LOADED SLAB; BOUNDED MEDIA; DEFORMATION; SYSTEMS;

D O I：

10.1111/j.1467-9590.2009.00465.x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Backlund transformation is presented which allows the construction of model nonlinear elastic laws associated with a reduction of the uniaxial Lagrangian elastodynamic system to the canonical form adopted for the classical Hooke's law. A nonlinear superposition principle for the iterative generation of such elastic laws is recorded.

引用

页码：137 / 149

页数：13