Approximate (Asymptotically Exact) Solutions for Anharmonic Localized Modes and Vortexlike Modes and Exact Static Vortexlike Mode Solutions in the D-Dimensional Sine-Lattice Equation
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概要
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An analytical study is made to seek intrinsic nonlinear-mode solutions to the d-dimensional sine-lattice (SL) equation ^Σ__iJ_i{sin[u(n+e_i)-u(n)]-sin[u(n)-u(n-e_i)]}-[∂^2u(n)/∂t^2]=(λ/2)sin[2u(n)] with λ>0 or λ=0 in the form u(n)=2tan^<-1>[f(k・n-ωt)/g(K・n-Ωt)] with K=(K_1, K_2, ・・・, K_d)(k=k, K), where f and g are trigonometric or hyperbolic functions. Approximate analytical solutions for moving and stationary anharmonic localized modes and vortexlike modes (d>2) are obtained for |k_i|≪1 and |K_i|≪1. For λ=0, exact static vortexlike mode solutions exist provided the k_i's and the K_i's satisfy certain specific conditions. For d=1, numerical experiments are performed to confirm the existence of the asymptotically exact moving anharmonic localized modes in the SL equation for λ= 0.
- 社団法人日本物理学会の論文
- 1994-04-15
著者
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Takeno Shozo
Laboratory Of Physics Faculty Of Engineering And Design Kyoto Institute Of Technology
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Homma Shigeo
Department Of Applied Physics Faculty Of Engineering Nagoya University
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Homma Shigeo
Department Of Physics Faculty Of Engineering Gunma University
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Hori Kazunari
Laboratory Of Physics Faculty Of Engineering And Design Kyoto Institute Of Technology
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Ohtsuka Kazushi
Laboratory of Physics, Faculty of Engineering and Design, Kyoto Institute of Technology
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Ohtsuka Kazushi
Laboratory Of Physics Faculty Of Engineering And Design Kyoto Institute Of Technology
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