Characterization of Pattern Formation from Modulation Instability in the Cubic Schrodinger Equation
LONG Tao1, HE Xian-tu2,3
1Graduate School, China Academy of Engineering Physics, Beijing 100088
2Institute of Applied Physics and Computational Mathematics, Beijing 100088
31nstitute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
Characterization of Pattern Formation from Modulation Instability in the Cubic Schrodinger Equation
LONG Tao1;HE Xian-tu2,3
1Graduate School, China Academy of Engineering Physics, Beijing 100088
2Institute of Applied Physics and Computational Mathematics, Beijing 100088
31nstitute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
Abstract： The study of pattern dynamics in a Hamiltonian system(HS) having an infinite number of degree of freedom is very difficult due to the absence of attractors in such system. In this letter, we propose a useful method that only a few representative manifolds in phase space are investigated, and it can be used to reveal the pattern formation of HS. The conserved cubic Schrödinger equation is discussed. Although a special model is chosen, this method can be applied to more general case such as the near-integrable HS.
(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
引用本文:
LONG Tao;HE Xian-tu;. Characterization of Pattern Formation from Modulation Instability in the Cubic Schrodinger Equation[J]. 中国物理快报, 1998, 15(9): 659-661.
LONG Tao, HE Xian-tu,. Characterization of Pattern Formation from Modulation Instability in the Cubic Schrodinger Equation. Chin. Phys. Lett., 1998, 15(9): 659-661.
1998, Vol. 15 
