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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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| Cite this article: |
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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.
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| Keywords:
47.10.+g
05.45.+b
52.35.Mw
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Published: 01 September 1998
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| PACS: |
47.10.+g
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05.45.+b
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52.35.Mw
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(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
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