| 具有耗散项的非线性Schrodinger方程的精确包络波解 |
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| 引用本文： | 潘祖梁,郑克杰,杨清健.具有耗散项的非线性Schrodinger方程的精确包络波解[J].高校应用数学学报(英文版),1994,9(4):325-329. |
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| 作者姓名： | 潘祖梁 郑克杰 杨清健 |
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| 摘 要： | In this paper, weconsider the evolution of a soliton when dissipative lose exists. By means of non-perturbed method, an exact envelope wave solution of nonlimear Schroedinger equation with dissipative term is obtained. It is shown that when Г=γ0/(1 2γot), the solution given here still maintains the hyperbolic secant profile.
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| 关 键 词： | 耗散项 非线性Schrodinger方程 精确包络波解 偏微分 |
| 收稿时间： | 20 December 1993 |
Exact envelope wave solution to nonlinear Schrödinger equation with dissipative term |
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| Pan Zuliang,Zheng Kejie,Yang Qingjian.Exact envelope wave solution to nonlinear Schrödinger equation with dissipative term[J].Applied Mathematics A Journal of Chinese Universities,1994,9(4):325-329. |
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| Authors: | Pan Zuliang Zheng Kejie Yang Qingjian |
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| Institution: | (1) Department of Applied Mathematics, Zhejiang University, 310027 Hangzhou;(2) Post-Telecommunication Institute of Zhejiang, 310014 Hangzhou;(3) Department of Physics, Zhejiang University, 310027 Hangzhou |
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| Abstract: | In this paper, we consider the evolution of a soliton when dissipative loss exists. By means of non-perturbed method, an exact envelope wave solution of nonlinear Schrödinger equation with dissipative term is obtained. It is shown that when Γ = γ0/(1 + 2γ0 t), the solution given here still maintains the hyperbolic secant profile. |
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| Keywords: | 35Q51 78A60 |
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