Interactions of Solitary Waves : A Perturbation Approach to Nonlinear Systems

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概要

• 論文の詳細を見る

• An approximate method of studying interactions between two solitary waves which propagate in opposite directions is presented. In the first approximation, the solution is described by s superposition of two solitary waves which are governed by their respective Korteveg-Vries equation. The second order approximation gives a small correction where the two waves overlap one another. The method is extended to the system, in which there exist n "quasi-simple" waves (the simple waves under the effects of higher derivative terms, such as dispersions of dissipations). The possibility that n "quasi-simple" waves can be superposed to describe nonlinear systems is studied. Applications to ion acoustic waves in collisionless plasmas and shallow water waves are discussed.

• 社団法人日本物理学会の論文
• 1973-04-05

著者

• YAJIMA Nobuo

  Department of Physics, Osaka University

• OIKAWA Masayuki

  Department of Applied Mathematics, Kyushu University

• Oikawa Masayuki

  Department Of Applied Mathematic And Physics Kyoto University

• Yajima Nobuo

  Department Of Applied Mathematic And Physics Kyoto University

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