Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
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Volume 51, Issue 10
Displaying 51-54 of 54 articles from this issue
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  • Soliton and Algebraic Equation
    Yoshimasa Matsuno
    1982Volume 51Issue 10 Pages 3375-3380
    Published: October 15, 1982
    Released on J-STAGE: June 01, 2007
    DOIhttps://doi.org/10.1143/JPSJ.51.3375
    JOURNAL RESTRICTED ACCESS
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    The close relationship between the soliton and the algebraic equation is found in the case of the Benjamin-Ono equation. Many interesting formulas are presented concerning the algebra of the zeros of the Laguerre polynomial.
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  • Matrix Piemann Problem of the AKNS Equation
    Tsutomu Kawata
    1982Volume 51Issue 10 Pages 3381-3389
    Published: October 15, 1982
    Released on J-STAGE: June 01, 2007
    DOIhttps://doi.org/10.1143/JPSJ.51.3381
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    The AKNS equation is reformulated by means of the matrix Riemann problem. The projection operator arising for solving the Riemann problem is connected to the scattering data. By this fact we can completely separate the procedure for solving the problem to the determination of projection operator and to the regular problem consisting only with continuous scattering data. As an application of this we construct the way of potential proliferation.
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  • A Coupled KdV Equation is One Case of the Four-Reduction of the KP Hierarchy
    Junkichi Satsuma, Ryogo Hirota
    1982Volume 51Issue 10 Pages 3390-3397
    Published: October 15, 1982
    Released on J-STAGE: June 01, 2007
    DOIhttps://doi.org/10.1143/JPSJ.51.3390
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    It is shown that the coupled KdV equation introduced by the present authors is a special case of the four-reduced KP hierarchy which is included in the general theory of τ functions. From the fact it is also shown that the soliton solutions can be derived from those of the KP equation. Moreover, the existence of infinitely many conserved quantities are proved by means of the linear scheme giving the coupled KdV equation.
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  • Self-Sustained Oscillations of Membrane Potential in DOPH-Millipore Membranes
    Kiyoshi Toko, Kouichi Ryu, Shu Ezaki, Kaoru Yamafuji
    1982Volume 51Issue 10 Pages 3398-3405
    Published: October 15, 1982
    Released on J-STAGE: May 29, 2007
    DOIhttps://doi.org/10.1143/JPSJ.51.3398
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    Self-sustained oscillations of membrane potential in an artificial model membrane, where dioleyl phosphate (DOPH) is infiltrated into pores of a Millipore filter, are investigated both experimentally and theoretically. Spike-like self-oscillations with an extremely long period of about one hour were observed for membranes with large adsorbed amounts of DOPH in the absence of external forces such as electric current and pressure gradient. On the basis of a previously-presented model that DOPH molecules make transitions among three phases composed of oil droplets, spherical micelles and multi- or bilayer leaflets, the occurrence of self-oscillations is explained well by taking account of an accumulation and a release of salt in a pore of the filter.
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