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1993 Fiscal Year Final Research Report Summary

Nonlinear Dynamic of Localized Structures

Research Project

Project/Area Number 03302018
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 物理学一般
Research InstitutionThe University of Tokyo

Principal Investigator

WADATI Miki  The Univ of Tokyo , Graduate School of Science, Protessur, 大学院・理学系研究科, 教授 (60015831)

Co-Investigator(Kenkyū-buntansha) SATSUMA Junkichi  Mathematicl Science Univ., Protessor, 大学院・数理科学研究科, 教授 (70093242)
NAGASHIMA Hiroyuki  Shizuoka Univ.Fac.Liberalarts, protessor, 教養部, 教授 (20015811)
WATANABE Shinsuke  Fac, Eng. Yokohama Natl Univ.Univ.Protessor, 工学部, 教授 (60017936)
SATO Tetsuya  National institute for Fusion Science, Protessor, 教授 (80025395)
ICHIKAWA Yoshihiko  Chubu Univ. Fac.Rng.Protessor, 工学部, 教授 (90058917)
Project Period (FY) 1991 – 1993
KeywordsSoliton / Chaus / Vortex / Hirota Method / Pattern Formation / Nonlinear Waves / Soliton Eguations / Motion of Curves and Surfaces
Research Abstract

We have investigated 1, localized structures in nonlinear media, 2.simulations of nonlinear dynamical systems, 3.dynamics of localized structures. The main results are summarized as follows.
(1)Using a Geometrical model as a model for crystal growths intergrable systems and found some new exact colutions.
(2)Ion acoustic solitons oass through the sheath region without a time delay.
(3)A wave length of target pattern can be controlled by changing a radius of pacemaker.
(4)Formation of cluster structure in dynamical system is clisely related to the chaotic property of the system and the structure is maintained by the existence of chaos.
(5)Based on a mechanism of magnetosonic sound eave scceleration, the fundamental properties of solar tigh energy particles are explained.
(6)Simulating the creation mechanism of magnetic fields in the earth and the sun, we found that the dipole field is developed by the convection motions.
(7)By use of a bilinear formalism, the discretization of soliton equation can bbe done systematicakky preserving intergrability.
(8)Two dimensional Nonlinear Schrodinger equation is derived for ion waves and its new solution describing the reconnection is found.

  • Research Products

    (50 results)

All Other

All Publications (50 results)

  • [Publications] K.Nakayama: "Motion of Curves in the Plane" J.Phys.Soc.Jpn.62. 473-479 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Nakayama: "Motion of Surfaces" J.Phys.Soc.Jpn.62. 933-947 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Iizuka: "Nonlinear Reflection and Refraction of Line Soliton Due to a Discontinuity" J.Phys.Soc.Jpn.62. 1159-1166 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Iizuka: "Soliton Scattering Due to a Heavy Impurity in Nonlinear Lattices" J.Phys.Soc.Jpn.62. 1932-1938 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Ohsawa: "Unified Theory for Solar Energetic Particles:Basic Composition,^3He-Rich Events,and Prompt Ion Acceleration" J.Phys.Soc.Jpn.62. 2382-2387 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Ohta: "Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy" J.Phys.Soc.Jpn.62. 1882-1886 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Amagishi: "Ion-neutral Collision Effect on an Alfven Wave" Phys.Rev.Lett.71. 360-363 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Oikawa: "Effect of the Thind-Order Dispersion on the Nonlinear-Schrodinger Equation" J.Phys.Soc.Jpn.62. 2324-2333 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Watanabe: "Comprehensive Simulation Study of Local and Global Development of Auroral Arcs and Field-Aligned Potentials" J.Geophys.Res.98. 21391-21407 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Nishida: "Refraction and Reflection of Ion Acoustic Solitons by Space Charge Sheaths" Phys.of Fluids B. 5. 722-731 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Nakanishi: "Wakefield Accelerator using Twin Linacs" Nucl.Inst.& Meth.A328. 596-598 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Yugami: "Electron Linear Accelerator Based on the Crossed-Wave Electric and Static Magnetic Field" Jap.J.Appl.Phys.32. 5703-5710 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] C.Matsuoka: "A Half Integer Charge Vortex Solution in a Hybrid Topological Defect" Phys.Lett.A. (in press). (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Yamada: "Dynamics of wave fronts in excitable media" Physica D. 64(in press). 153-162 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Yamada: "Dynamics of untwisted scroll rings in excitable media" J.Phys.Soc.Jpn.63. 379-382 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Inagaki: "Dynamical Stability of a Simple Model Similar to Self-Gravitating Systems" Publ.Astron.Soc.Jpn.45. 733-735 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Tsuji: "Two-Dimensional Interaction-of Internal Solitary Waves in a Two-Layer Fluid" J.Phys.Soc.Jpn.62. 3881-3892 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Funakoshi: "Steady Trapped Solutions to Forced Long-Short Interaction Equation" J.Phys.Soc.Jpn.62. 1993-2006 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.X.Zhang: "Oblique Ion Acoustic Wave Instabilities and ^3He-Rich Events" J.Phys.Soc.Jpn.62. 2545-2548 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Nishinari: "A New-type of Soliton Behavior in a Two Dimensional Plasma System" J.Phys.Soc.Jpn.62. 2021-2029 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Kajiwara: "q-Discrete Toda Molecule Equation" Phys.Letter. A180. 249-256 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Sasa: "A Series of Exact Solutions Based on a Bilinear Form of the Stationary Axially Symmetric Vacuum Einstein-Eq." J.Phys.Soc.Jpn.62. 1153-1158 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J.Satsuma: "A Bilinear Approach to Integrable Lattices and Their Similarity Reductions" Phys.Letter. A174. 387-396 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Kageyama: "Simulation Study of Magnetohydrodynamic Dynamo:Convection in a Rotating Spherical Shell" Phys.Fluids B. 5. 2793-2805 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Konno: "Vortex Soliton with Axial Flow" Theor.and Matl.Physics. 98(in press). (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] R.Hirota et al.: "Future Directions of Nonlinear Dynamics in Physical and Biological Systems" (Plenum Press), (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Nakayama and m.Wadati: "Motion of Curves in the plane" J.Phys.Soc.Jpn.62. 473-479 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Nakayama and m.Wadati: "Motion of Surtaces" J.Phys.Soc.Jpn.62. 933-947 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Iizuka and M.Wadati: "Nonlinear reflection and refraction of Line Soliton Due to a Discontinuity" J.Phys.Soc.Jpn.62. 1159-1166 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Ohsawa: "Unified Theory For Solar Enegetic Partides Basic Composition, ^3He-rich Events and Prompt ion Acceleration" J.Phys.Soc.Jpn.62. 2382-2387 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Ohta, R.Hirota, S.Tsujimoto and T.Imai: "Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy" J.Phys.Soc.Jpn.62. 1882-1886 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Amagishi and M.Tanaka: "Ion-Neutral Collision Effect on an Alfven Wave" Phys. Rev. Lett.71. 360-363 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Oikawa: "Effect of the Third Order Dispersion on the Nonlinear Schrodinger Eguation" J.Phys.Soc.Jpn.62. 2324-2333 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Tsuji and M.Oikawa: "Two-Dimensional In teraction of Internal Solitary Waves in a Two-Layr Fluid" J.Phys.Soc.Jpn.62. 3881-3892 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Funakoshi: "Steady Trapped Olutions to Forced Long-Short Interaction Eguation" J.Phys.Soc.Jpn.62. 1993-2006 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.X.Zhang, M.Toida and Y.Ohsawa: "Obligue Ion Acoustic Wave Instabilities and ^3He-rich Events" J.Phys.Soc.Jpn.62. 2545-2548 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Nishinari, K.Abe and J.Satsuma: "A New-Type of Soliton Behavior in a Two Dimensional Plasma System" J.Phys.Soc.Jpn.62. 2021-2029 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Kajiwara, Y.Ohta and J.Satsuma: "g-Discrete Toda Molecule Eguation" Phys. Letter. A180. 249-256 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Sasa and J.Satsuma: "A Series of Exact Solutions Based on a Bilinear From of the Stationary Axially Symmetric Vacuum Einstein Eguation" J.Phys.Soc.Jpn.62. 1153-1158 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Satsuma, a.ramani and B.Grammaticos: "A Bilinear Approach to integrable Lattices and Their Similarity Reductions" Phs.Letter. A174. 387-396 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Kageyama, K.Watanabe and T.Sato: "Simulation Study of Magnetohydrodynamic Dynamo : convection in a Rotating Sphericnl Shell" Phys.Fluids. B5. 2793-2805 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Watanabe, H.Oya, K.Watanabe and T.Sato: "Comprehensive Simulation Study on Local and Glpbal Development of Auroral Arcs and Field-Aligned Potentials" J.Geophys.Res. 98. 21391-21407 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Nishida et al: "Rebraction and Reblection of Ion Acoustic Solitons by Space Charge Sheaths" Phys.of Fluids B. 5. 722-731 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M,Nakanishi et al: "Wake Field Accelerator using Twin Linac" Nucl.Inst.2 Meth. A328. 596-598 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Yugami et al: "Electron Linear Accelerator Based on the Crossed-Wave Electric and Static Magnetic Field" Jap.J.Appl.Phys. 32. 5703-5710 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] C.Matsuoka and K.Nozaki: "A half Integer Charge Vortey Solution in a Hybrid Topological Defect" Phys.Left. in press. (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Yamada and K,Nozaki: "Dynamics of Wave Fronts in Excitable Media" Physica D. 64. 153-162 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Yamada and K,Nozaki: "Dynamics of Untwisted Scroll Rings in Excitable Media" J.Phy.Soc.Jpn. 63. 379-382

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Inagaki and T.Konishi: "Dynamical Stability of a Simple Model similar to Self-Gravitating Systems" Publ.Astro.Soc. 45. 733-735 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Konno and Y.H.Ichikawa: "Vortex Soliton with Axial Flow" Theor. and Math.Physics. 98. (1994)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1995-03-27  

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