Effect of Weak Dissipation on Two Soliton Solution of the K-dV Equation

• Tanaka Mitsuhiro

  Department of Physics, Faculty of Science, Kyoto University

書誌事項

タイトル別名

• Effect of Weak Dissipation on Two Solit

抄録

Interaction of two solitons in a nonlinear dispersive and dissipative medium is investigated in terms of the Korteweg-de Vries equation with small dissipation. A perturbation method based upon the inverse scattering transform is applied to estimate the changes in amplitudes of two interacting solitons. Differences are found in amplitude changes according to the amplitude ratio of initial solitons and to the form of the dissipation term. Theoretical predictions are ascertained by numerical experiments of corresponding initial value problem leading to a qualitatively satisfactory agreement.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 47 (6), 2013-2020, 1979

  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: 1390001204182879232
• NII論文ID: 110001964566
• NII論文ID: 210000088222
• NII論文ID: 130003896218
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.47.2013
• BIBCODE: 1979JPSJ...47.2013T
• COI: 1:CAS:528:DyaL3cXot1OqsA%3D%3D
• ISSN: 13474073
• ISSN: 00319015
• NDL書誌ID: 2070313
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I2070313
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.47.2013
• 本文言語コード: en
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