Higher Order Solution of Nonlinear Waves.: II. Shock Wave Described by Burgers Equation

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概要

• 論文の詳細を見る

• A method of renormalization has been ?rpplied to a r?onlinear difl'erential equation which de-scribes, in the continutrzn approxinuation, a weak shock wave propagating in a dissipative nonlinear LC circtrit. In the lowest order of approximation, a well-known Btrrgers eqtration is derived.In the next order, a higher order eqtration whiclt brings abotrt correction to the Burgers equationis obtained. This equation contains sectrlar tertaas and a term whose particular soltrtion does notsatisfy a botrndary condition. A method of renortaaalization is irttrodtrced to elitninate strch sec-ular terms and an improper particular solution violatirag a botmndary corudition. It is shown thatthe renorzaaalized soltttion can be described by the Btrrgers shock wave with the zauodifications inthe width and tlae velocity.

• 社団法人日本物理学会の論文
• 1997-04-15

著者

• KAWAMURA KATSUYUKI

  Department of Earth and Planetary Science, Tokyo Institute of Technology

• Watanabe S

  Yokohama Yokohama Jpn

• ISHIWATA Shingo

  Department of Physics,Faculty of Engineering,Yokohama National University

• WATANABE Shinsuke

  Department of Physics,Faculty of Engineering,Yokohama National University

• Shinsuke Watanabe

  Department Of Energy Engineering Faculty Of Engineering Yokohama National University

• Watanabe Shinsuke

  Department Of Energy Engineering Faculty Of Engineering Yokohama National University

• Kawamura K

  Tokyo Inst. Technol. Tokyo Jpn

• OH Heung

  Department of Energy Engineering,Faculty of Engineering,Yokohama National University

• Oh Heung

  Department Of Energy Engineering Faculty Of Engineering Yokohama National University

• Kawamura Katsuyuki

  Department Of Earth And Planetary Science Tokyo Institute Of Technology

• Kawamura Katsuyuki

  Department Of Energy Engineering Faculty Of Engineering Yokohama National University

• Ishiwata Shingo

  Department Of Energy Engineering Faculty Of Engineering Yokohama National University

• WATANABE Sigeru

  Faculty of Education,Mie University

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