| Periodic Waves of a Discrete Higher Order Nonlinear SchrSdinger Equation |
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| 作者姓名： | Robert Conte K.W. Chow |
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| 作者单位： | [1]Service de physique de Pétat condensé （URA 2464）, CEA-Saclay, F-91191 Gif-sur-Yvette Cedex, France [2]Department of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong, China |
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| 基金项目： | The project partially supported by the Research Grants Council under Grant Nos, HKU 7123/05E and HKU 7184/04E |
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| 摘 要： |
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| 关 键 词： | 离散高阶非线性薛定谔方程 椭圆函数 解 周期波形 |
| 收稿时间： | 2006-01-10 |
| 修稿时间： | 2006-01-10 |
Periodic Waves of a Discrete Higher Order Nonlinear SchrSdinger Equation |
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| Robert Conte K.W. Chow.Periodic Waves of a Discrete Higher Order Nonlinear SchrSdinger Equation[J].Communications in Theoretical Physics,2006,46(6):961-965. |
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| Abstract: | The Hirota equation is a higher order extension of the nonlinear Schr6dinger equation by incorporating third order dispersion and one form of self steepening effect, New periodic waves for the discrete Hirota equation are given in terms of elliptic functions. The continuum limit converges to the analogous result for the continuous Hirota equation, while the long wave limit of these discrete periodic patterns reproduces the known resulr of the integrable Ablowitz-Ladik system. |
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| Keywords: | discrete higher-order nonlinear SchrSdinger equation discrete Hirota equation elliptic function solutions |
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