Singular dynamics with application to singular waves in physical problems

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

8 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)1151-1155
Journal / PublicationJournal of the Physical Society of Japan
Volume73
Issue number5
Publication statusPublished - May 2004

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 ReviewsRGC 21 - Publication in refereed journalpeer-review