Manakov孤子的渐近行为：势阱和峰的影响
Asymptotic Behavior of Manakov Solitons: Effects of Potential Wells and Humps
摘要：
研究了Manakov系统在外力扰动下孤子解的渐近性态。在绝热近似下，它的多孤子相互作用可以用复Toda链（CTC）来模拟。CTC是一个完全可积系统，这一事实使我们能够确定多孤子串的渐近行为。在本研究中，我们强调的3-孤子初始配置sech类外部势扰动和比较的Manakov系统和扰动CTC在不同的制度的数值预测。分析结果表明，扰动CTC可以可靠地预测Manakov系统的长期演化。
英文摘要：
We consider the asymptotic behavior of the soliton solutions of Manakov's system perturbed by external potentials. It has already been established that its multisoliton interactions in the adiabatic approximation can be modeled by the Complex Toda chain (CTC). The fact that the CTC is a completely integrable system, enables us to determine the asymptotic behavior of the multisoliton trains. In the present study we accent on the 3-soliton initial configurations perturbed by sech-like external potentials and compare the numerical predictions of the Manakov system and the perturbed CTC in different regimes. The results of conducted analysis show that the perturbed CTC can reliably predict the long-time evolution of the Manakov system.
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