Numerical Studies of the Regularized Long Wave Equation

• Goda Katuhiko

  Toshiba Research and Development Center

• Fukui Yoshinari

  NTIS Co., Ltd.

書誌事項

タイトル別名

• Numerical Studies of the Regularized Lo

抄録

The Regularized Long Wave (RLW) equation, u_t+u_x+uu_x−μu_xxt=0, has similar properties to the Korteweg-de Vries (KdV) equation. For example, the RLW equation has a stable solitary solution and dispersive property, However, the RLW equation has been found to have only two invariants, while the KdV equation has an infinite number of invariants. The present numerical studies show that the so-called recurrence property (almost-periodicity) for the KdV equation solution does not hold in the case of the RLW equation solution. However, the energy of the RLW solution is shared only among the lower modes of the system (no-thermalization). If the coefficient μ value is large (μ≥1.0), it is found by numerical computations that the recurrence property approximately holds. Some discussions are made on almost-periodicity of the RLW equation with a large value μ. Though the μ-dependence of almost-periodicity of the RLW equation does not become clear, we conjecture that collisions among many solitary waves are not stable for the RLW equation.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 48 (2), 623-630, 1980

  一般社団法人 日本物理学会

キーワード

• General Physics and Astronomy

詳細情報

• CRID: 1390282679160375040
• NII論文ID: 110001964783
• NII論文ID: 130003896254
• NII論文ID: 210000088669
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.48.623
• BIBCODE: 1980JPSJ...48..623G
• ISSN: 13474073
• ISSN: 00319015
• NDL書誌ID: 2168714
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I2168714
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.48.623
• 本文言語コード: en
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