An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders

• Ito Masaaki

  Department of Applied Mathematics, Faculty of Engineering, Hiroshima University

書誌事項

タイトル別名

• Extension of Nonlinear Evolution Equati

抄録

An extension of nonlinear evolution equations to higher orders is investigated. Included are (i) a higher order Sawada-Kotera equation which cannot be derived from the functional derivative of higher order conserved quantities of the Sawada-Kotera equation; (ii) N-soliton solution and the inverse scattering form for the higher order Sawada-Kotera equation; (iii) N-soliton solutions, the Bäcklund transformation and the inverse scattering form for higher order modified K-dV equations; (iv) a list of several bilinear equations some of which are conjectured to have 3-soliton solutions.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 49 (2), 771-778, 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: 1390282679162113536
• NII論文ID: 210000089087
• NII論文ID: 110001965165
• NII論文ID: 130003896483
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.49.771
• BIBCODE: 1980JPSJ...49..771I
• ISSN: 13474073
• ISSN: 00319015
• MRID: 598395
• NDL書誌ID: 2188146
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I2188146
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.49.771
• 本文言語コード: en
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