Properties of the Magma and Modified Magma Equations

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概要

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• Solutions of the "magma equation", /,=[/'{(/ '/,). -1}]., are investigated forcompact support initial conditions. It is shown arxalytically total traveling wave solu-lions with compact support do not exist for this equation. Numerical integrationdemonstrates that although initial conditions with compact support produce solitarywaves, these solitary waves do not interact like solitons. Moreover, a relationship be-tween the magma equation and the KdV equation is established, and this relationshipis used to explain previously observed soliton-like behavic>r. Both equations areshown to be related to the modified magma equation, F.-V [7"'(3F..-F- 1)].=0, whichis proven to have V-soliton solutions with compact support artd an infinite number ofconserved densities.magma equation, compact support solution, sc>liton, integrable, KdV equation

• 社団法人日本物理学会の論文
• 1990-06-15

著者

• Takahashi Daisuke

  Department of Materials Science and Technology, Niigata University

• Jeffrey R.

  Department Of Biomedical Engineering Northwestern University

• SATSUMA Junkichi

  Department of Applied Physics, Faculty of Engineering University of Tokyo

• Satsuma Junkichi

  Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University:general Educat

• Takahashi Daisuke

  Department Of Applied Chemistry Faculty Of Science And Technology Keio University

• Satsuma Junkichi

  Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University

• Takahashi Daisuke

  Department Of Applied Physics Faculty Of Engineering University Of Tokyo

• Sachs Jeffrey

  Department of Biomedical Engineering,Northwestern University

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