All issues
Volume 49 (1980)
- Issue 6 Pages 2093-
- Issue 5 Pages 1649-
- Issue 4 Pages 1205-
- Issue 3 Pages 847-
- Issue 2 Pages 435-
- Issue 1 Pages 1-
Predecessor
- Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
- Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
- Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
- Tokyo Sugaku-Butsurigakkwai Hokoku
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku Kaisya Zasshi
Volume 49, Issue 2
Displaying 51-69 of 69 articles from this issue
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Keiichi Sakurai, Shyugo Tanahashi1980Volume 49Issue 2 Pages 759-762
Published: August 15, 1980
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSIn order to investigate the positional stability of a current-carrying plasma in an l=2 stellarator field, we estimate the decay index of the vertical magnetic field when the stellarator field is applied. Experimental results show that the positional stability of a current-carrying plasma in the stellarator field is better than that of a tokamak plasma. Although the value of the decay index is negative, the plasma column is also positionally stable in the vertical direction, A following relationship (Remark: Graphics omitted.) is experimentally confirmed, where δBv is a change of the vertical magnetic field, δΔ is the displacement of the plasma column, (Remark: Graphics omitted.) is the rotational transform angle of the helical field, Bt is the toroidal magnetic field and R is the major radius of the plasma column.View full abstractDownload PDF (380K) -
Ryouichi Kambe, Masaaki Doi, Tsutomu Imamura1980Volume 49Issue 2 Pages 763-770
Published: August 15, 1980
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe method to study the effect of the plate moving in the homogeneous or isotropic turbulence is presented. The crucial point of this method is to solve the Orr-Sommerfeld like equation, which is satisfied by the kernel of the Wiener-Hermite expansion of the velocity field, under the inhomogeneous boundary condition. In the special case of constant mean flow, our method gives the same result as that of Hunt and Graham and succeeds in explaining the experimental results of Thomas and Hancock. The method is also applied to the case of non-uniform mean flow, where the shear effect comes up.View full abstractDownload PDF (928K) -
Masaaki Ito1980Volume 49Issue 2 Pages 771-778
Published: August 15, 1980
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSAn 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.View full abstractDownload PDF (860K) -
Kiyoshi Hashimoto, Takuya Matsuda1980Volume 49Issue 2 Pages 779-786
Published: August 15, 1980
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSGaseous flow in a rapidly rotating short cylinder is studied within the framework of a linear treatment. Since the aspect ratio of the cylinder is assumed to be of the order of E1⁄2, where E is the Ekman number, a viscous force is dominant throughout the flow region. Meridional flow is induced either by a temperature difference of the top and bottom end plates or by a differential rotation of the cylinder walls. The flow region is divided into an Ekman-layer like region and a corner region with the dimension of E1⁄2×E1⁄2. The equation governing the latter corner region is (Δ3+a4∂2⁄∂2)ψ=0, which is solved by an expansion technique.View full abstractDownload PDF (884K) -
Yoshimasa Matsuno1980Volume 49Issue 2 Pages 787-794
Published: August 15, 1980
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSA systematic method for transforming the Lax hierarchy of the modified Korteweg-do Vries (MKdV) equation ut=−∂⁄∂x (δIn⁄δu) into bilinear equations is developed, where In is the n-th conserved quantity of the MKdV equation and δ⁄δu denotes the functional derivative. The N-soliton solutions of these higher-order equations are also presented.View full abstractDownload PDF (680K) -
Yoshimasa Matsuno1980Volume 49Issue 2 Pages 795-801
Published: August 15, 1980
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe Bäcklund transformations of the higher-order Korteweg-de Vries (KdV) equations are derived on the basis of the bilinear transformation method. It is shown that these transformations are closely related to the quantities obtained from the functional derivative of conserved quantities of the modified KdV equation. The inverse scattering transforms of the higher-order KdV equations are also presented.View full abstractDownload PDF (572K) -
Masaki Takashima1980Volume 49Issue 2 Pages 802-806
Published: August 15, 1980
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSThe theory described in an earlier paper [M. Takashima: J. Phys. Soc. Jpn. 47 (1979) 1321] is extended to include the possibility of overstability. Linear stability theory is applied to derive a time-dependent eigenvalue relationship which is then computed numerically. It is shown that depending on the values of various dimensionless parameters, instability can set in either as a stationary convection or as overstability.View full abstractDownload PDF (380K) -
Mitsuhiro Tanaka1980Volume 49Issue 2 Pages 807-812
Published: August 15, 1980
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSEffects of perturbations on the soliton solutions of the K-dV equation are investigated. A system of equations which governs the slow modulation of the soliton solution is derived systematically from the non-secular conditions of the multiple time scale expansion. An equation which governs the time evolution of the non-soliton part is also obtained from the first order of the expansion. The results are applied to one soliton and two soliton problems. In addition, contributions of the non-soliton part to the modified conservation laws are investigated briefly.View full abstractDownload PDF (708K) -
Akira Nakamura, Hsing-Hen Chen1980Volume 49Issue 2 Pages 813-816
Published: August 15, 1980
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSUsing bilinear transform method, we confirm a result of Chen, Lee, and Liu that a derivative nonlinear Schrödinger equation
iut+uxx+2iu*uux=0
is integrable. Explicit formula of the N-soliton solution of a more general equation
iut+βuxx+iδ′u*uux+δu*uu=0,
where β, δ′ and δ are arbitrary real constants is presented.View full abstractDownload PDF (352K) -
Mitutosi Kawaguti, Akiko Hamano1980Volume 49Issue 2 Pages 817-824
Published: August 15, 1980
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSAs a two-dimensional model of blood flow in an artery with a branch, pulsatile flows of a viscous fluid in a channel with a branch are studied for various parameters (Reynolds number, ratio of flow rates downstream of bifurcation, and period of oscillation). The angle of bifurcation and the amplitude of oscillation are fixed. It is shown that for the case similar to blood flow in artery the amplitude of shearing stress variation is higher in the neighbourhood of downstream corner and downstream of upstream corner in side channel.View full abstractDownload PDF (680K) -
Shinsuke Watanabe, Makoto Miyakawa, Keiichi Muroya1980Volume 49Issue 2 Pages 825-831
Published: August 15, 1980
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe recurrence of an initial waveform in a nonlinear LC circuit which is equivalent to the Toda lattice is studied experimentally. When initial wave amplitude is small enough, we find that the recurrence length is independent of wave amplitude, but is determined only by the frequency. The amplitude of the second harmonic wave is also observed as a function of the distance. The results of small wave amplitude agree with the theory of weak nonlinearity. As the wave amplitude is increased, the recurrence length becomes shorter in proportion to A−1⁄2, where A denotes the initial wave amplitude. Similarities and dissimilarities, between the recurrence in the discrete medium and that of the continuous system such as the Korteweg-de Vries equation are carefully examined.View full abstractDownload PDF (984K) -
Kazuya Uehara, Noboru Fujisawa, Takumi Yamamoto, Tsuyoshi Imai, Takash ...1980Volume 49Issue 2 Pages 832
Published: August 15, 1980
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (24K) -
H. C. Gupta1980Volume 49Issue 2 Pages 833-834
Published: August 15, 1980
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (164K) -
Hiroyoshi Suematsu, Masatsugu Suzuki, Hironobu Ikeda1980Volume 49Issue 2 Pages 835-836
Published: August 15, 1980
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSFour anomalies in resistivity and specific heat in C24Rb have been observed at temperatures (A) 60, (B) 110, (C) 165 and (D) ca. 210 K. The anomalies B and C arise from the structure phase transitions of the Rb atoms which have been revealed by Suzuki et al. The anomalies A and D are suggested to come from the phase transitions analogous to those in C24Cs, although the structural study has not been made.View full abstractDownload PDF (272K) -
Kitomi Tsutsumi, Takashi Sambongi, Akira Toriumi, Shoji Tanaka1980Volume 49Issue 2 Pages 837-838
Published: August 15, 1980
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSThe periodic lattice distortion coupled with the charge-density-wave in 1T-VSe2 was observed by X-ray diffraction below 70 K. From the position of the satellite scatterings the wave vector of the distortion was determined as (0.246±0.007)a*+(0.294±0.008)c*. The incommensurate c*-component, observed for the first time in the layered dichalcogenides, can be explained by the nesting of the Fermi surface undulated along the c*-axis, such as calculated by Wooley and Wexler.View full abstractDownload PDF (228K) -
Shigeto Okada, Takashi Sambongi, Masayuki Ido1980Volume 49Issue 2 Pages 839-840
Published: August 15, 1980
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSThe group-IV transition-metal penta-chalcogenide, ZrTe5, shows a giant peak of the electrical resistivity around 150 K, suggestive of a structural phase transition.View full abstractDownload PDF (204K) -
Hikaru Terauchi, Hiroshi Yasukawa, Moritaka Hida1980Volume 49Issue 2 Pages 841-842
Published: August 15, 1980
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSThe X-ray diffuse scattering maximum from Ti-20.0 at.% Mo alloy is observed q=(1.30, 1.30, 1.30), (−0.03, −0.03, −0.03) off from (4/3 4/3 4/3). The incommensurate structure is discussed in terms of lattice displacements described by a stacking soliton.View full abstractDownload PDF (248K) -
Hiroki Nakamura, Masatoshi Namiki1980Volume 49Issue 2 Pages 843-844
Published: August 15, 1980
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSThe Landau-Zener-Stueckelberg formula based on the “dynamical” adiabatic representation is shown to be useful for the study of the title transitions. The following two cases are investigated: (a) curve crossing at the finite internuclear distance (R=Rx), (b) degeneracy at the united atom limit (R=0).View full abstractDownload PDF (252K) -
Rikizo Hatakeyama, Michael Oertl, Elmer Märk1980Volume 49Issue 2 Pages 845-846
Published: August 15, 1980
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSIon temperatures parallel and perpendicular to the magnetic field are observed to increase as the current-driven collisionless drift instability takes place; the anisotropic turbulence resulting from the onset of the instability qualitatively explains the measured heating.View full abstractDownload PDF (244K)