Singular dynamics with application to singular waves in physical problems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1151-1155 |
| Journal / Publication | Journal of the Physical Society of Japan |
| Volume | 73 |
| Issue number | 5 |
| Publication status | Published - May 2004 |
Link(s)
Abstract
Many physical problems are governed by certain systems of singular ordinary differential equations (ODEs). As a result, singular solutions can arise. In this paper, we provide some theoretical results to deal with these solutions. By applying straightforwardly the notion of weak solutions for partial differential equations (PDEs), a notion of weak solutions for this ODE type is proposed to include these singular solutions. As an application, we consider some traveling-wave solutions of a nonlinear dispersion equation arising in a physical problem. It is shown that compactons can arise in nonlinear elastic rods. ©2004 The Physical Society of Japan.
Research Area(s)
- Compactons, Singular dynamics, Singular waves
Citation Format(s)
Singular dynamics with application to singular waves in physical problems. / Dai, Hui-Hui; Huang, Debin; Liu, Zengrong.
In: Journal of the Physical Society of Japan, Vol. 73, No. 5, 05.2004, p. 1151-1155.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
