Nonlinear Dynamic of Localized Structures
Nonlinear Dynamic of Localized Structures
批准号:
03302018
负责人:
WADATI Miki
金额:
$9.73万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Co-operative Research (A)
财政年份:
1991
资助国家:
日本
项目状态:
已结题
起止时间:
1991 至 1993
中文摘要
我们研究了1、非线性介质中的局部结构;非线性动力系统仿真,3。局部结构动力学。主要研究结果总结如下:(1)用几何模型作为晶体生长可积系统的模型,得到了一些新的精确解。(2)离子声孤子无时间延迟地穿过鞘区。(3)通过改变起搏器的半径,可以控制目标图案的波长。(4)动力系统簇状结构的形成与系统的混沌特性密切相关,混沌的存在维持了簇状结构。(5)基于磁声波加速机制,解释了太阳高能粒子的基本性质。(6)模拟地球和太阳磁场的形成机制,发现偶极子场是由对流运动形成的。(7)利用双线性形式,可以系统地保持孤子方程的可积性。(8)导出了离子波的二维非线性薛定谔方程,并给出了描述离子波重连的新解。
英文摘要
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.
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Y.Yoshida: "Observation of the Plasma Lens Effect" Particle Accel.39. 77-87 (1992)
Y.Yoshida:“等离子透镜效应的观察”粒子加速.39。
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通讯作者:
M.FUNAKOSHI: "Bifurcations in Resonantly Forced Water Waves" Eur.J.Mech.B/Fluids. 10. 31-36 (1991)
M.FUNAKOSHI:“受迫共振水波中的分叉”Eur.J.Mech.B/Fluids。
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M.Oikawa: "Effect of the Thind-Order Dispersion on the Nonlinear-Schrodinger Equation" J.Phys.Soc.Jpn.62. 2324-2333 (1993)
M.Oikawa:“薄阶色散对非线性薛定谔方程的影响”J.Phys.Soc.Jpn.62。
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T.X.Zhang: "Oblique Ion Acoustic Wave Instabilities and ^3He-Rich Events" J.Phys.Soc.Jpn.62. 2545-2548 (1993)
T.X.Zhang:“斜离子声波不稳定性和^3He-Rich事件”J.Phys.Soc.Jpn.62。
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通讯作者:
R.Hirota et al.: "Future Directions of Nonlinear Dynamics in Physical and Biological Systems" (Plenum Press), (1993)
R.Hirota 等人:“物理和生物系统中非线性动力学的未来方向”(Plenum Press),(1993)
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共 85 条
Exact Analysis of Bose-Einstein Condensates and its Applications
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批准号:18540368
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.66万
-
财政年份:2006
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负责人:WADATI Miki
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依托单位:
Nonlinear Phenomena and their Controls in Bose-Einstein Condensates
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批准号:14540373
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$1.92万
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财政年份:2002
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负责人:WADATI Miki
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依托单位:
Nonlinear analysis of Bose-Einstein Condensates
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批准号:11640387
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$1.66万
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财政年份:1999
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负责人:WADATI Miki
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依托单位:
Studies of Nonlinear Waves and Nonlinear Dynamical Systems
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批准号:09044065
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项目类别:Grant-in-Aid for Scientific Research (B).
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资助金额:$7.1万
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财政年份:1997
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负责人:WADATI Miki
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依托单位:
Geometrical Models and their Applications
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批准号:07640526
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$1.73万
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财政年份:1995
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负责人:WADATI Miki
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依托单位:
Theory and Applications of Nonlinear Dynamical Systems
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批准号:06044054
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项目类别:Grant-in-Aid for international Scientific Research
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资助金额:$5.38万
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财政年份:1994
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负责人:WADATI Miki
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依托单位:
Random Matrix Theory and its Applications
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批准号:04640381
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项目类别:Grant-in-Aid for General Scientific Research (C)
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资助金额:$1.47万
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财政年份:1992
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负责人:WADATI Miki
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依托单位:
Nonlinera Dynamics of Complex Systems
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批准号:03044040
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项目类别:Grant-in-Aid for international Scientific Research
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资助金额:$3.52万
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财政年份:1991
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负责人:WADATI Miki
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依托单位:
Exactly Solvable Models and Applications
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批准号:01540310
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项目类别:Grant-in-Aid for General Scientific Research (C)
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资助金额:$1.34万
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财政年份:1989
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负责人:WADATI Miki
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依托单位:
Dynamical Phenomena in Plasma Wave Systems
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批准号:63302062
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项目类别:Grant-in-Aid for Co-operative Research (A)
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资助金额:$4.8万
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财政年份:1988
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负责人:WADATI Miki
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依托单位:
Validity of Soliton-Picture in Nonlinear Phenomena
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批准号:61540271
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项目类别:Grant-in-Aid for General Scientific Research (C)
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资助金额:$0.83万
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财政年份:1986
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负责人:WADATI Miki
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依托单位: