Soliton Formation in a Self-Gravitating Gas : Astrophysics and Relativity
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概要
- 論文の詳細を見る
Nonlinear wave modulation associated with the gravitational stability of an infinite homogeneous gas is investigated by the reductive perturbation method. It is shown that the weakly nonlinear wave with the carrier wave number more than the Jeans wave number k_J is governed by a nonlinear Schrodinger (NLS) equation. That NLS equation changes its type from modulationally unstable one to stable one across a critical wave number k_c (>k_J). Further it is shown that the weakly nonlinear wave near the marginal state of instability, i.e., near k_J, obeys an unstable NLS equation. From these results, it is conjectured that the nonlinearity may lead to various types of envelope soliton formations in a self-gravitating medium.
- 理論物理学刊行会の論文
- 1994-07-25
著者
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ONO Hiroaki
Department of Liberal Arts, Osaka Technical College
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Ono H
Department Of Mathematics And Physics Faculty Of Engineering Setsunan University
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NAKATA Isamu
College of Integrated Arts and Sciences University of Osaka Prefecture
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Ono Hiroaki
Department Of Liberal Arts And Science Setsunan University
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Nakata I
Univ. Osaka Prefecture Osaka
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Nakata Isamu
College Of Integrated Arts And Science University Of Osaka
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