Stability of Multisolitons for the Derivative Nonlinear Schrödinger Equation
Stability of Multisolitons for the Derivative Nonlinear Schrödinger Equation
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DOI：
10.1093/imrn/rnx013
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发表时间：
2017-02
影响因子：
1
通讯作者：
Stefan Le Coz;Yifei Wu
中科院分区：
文献类型：
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作者：
Stefan Le Coz;Yifei Wu
具有导数立方非线性项的非线性薛定谔方程存在一族孤子，这些孤子在能量空间中是轨道稳定的。在本文中，我们证明了多孤子组态在能量空间中的轨道稳定性，在适当的假设下的速度和频率的组成孤子。证明的主要成分是调制理论，能量不变性和单调性。
The nonlinear Schrödinger equation with derivative cubic nonlinearity admits a family of solitons, which are orbitally stable in the energy space. In this work, we prove the orbital stability of multisolitons configurations in the energy space, under suitable assumptions on the speeds and frequencies of the composing solitons. The main ingredients of the proof are modulation theory, energy coercivity, and monotonicity properties.