Singular Dynamics with Application to Singular Waves in Physical Problems (General)
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概要
- 論文の詳細を見る
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.
- 社団法人日本物理学会の論文
- 2004-05-15
著者
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LIU Zengrong
Department of Mathematics, Shanghai University
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Liu Zengrong
Department Of Mathematics Shanghai University
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DAI Hui-Hui
Department of Mathematics, City University of Hong Kong
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HUANG Debin
Department of Mathematics, Shanghai University
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Dai H‐h
Department Of Mathematics City University Of Hong Kong
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Dai Hui-hui
Department Of Mathematics City University Of Hong Kong
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Huang Debin
Department Of Mathematics Shanghai University
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