Chin. Phys. Lett.  1998, Vol. 15 Issue (9): 659-661    DOI:
Original Articles |
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
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LONG Tao, HE Xian-tu 1998 Chin. Phys. Lett. 15 659-661
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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.
Keywords: 47.10.+g      05.45.+b      52.35.Mw     
Published: 01 September 1998
PACS:  47.10.+g  
  05.45.+b  
  52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y1998/V15/I9/0659
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