| Behaviour of Cubic Nonlinear Schroedinger Equation by Using the Symplectic Method |
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| 作者姓名： | 刘学深 丁培柱 |
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| 作者单位： | InstituteofAtomicandMolecularPhysics,JilinUniversity,Changchun130012 |
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| 摘 要： | The dynamic properties of cubic nonlinear Schroedinger equation are investigated numerically by using the symplectic method.We show that the trajectories in phase space will exhibit different behaviour (elliptic orbit or homoclinic orbit)with the increase of nonlinear perturbation.We illustrate this phenomenon by mean of linearized stability analysis.The theoretical analysis is consistent with the numerical results.
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| 关 键 词： | 三次非线性薛定谔方程 耦对映射理论 力学性质 相位轨迹 线性稳定性分析 量子力学 |
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