论文标题
广义korteweg-de vries和非线性schr {Ö} dinger方程的多脉冲的空间衰变
Spatial decay of multi-solitons of the generalized Korteweg-de Vries and nonlinear Schr{ö}dinger equations
论文作者
论文摘要
我们研究了广义Korteweg-De Vries方程的多光子体的尖锐空间衰减。我们在时间上均匀地获得了这些溶液及其衍生物衰减，在孤子区左侧和孤子区域的空间中呈指数衰减，并在孤子右侧证明了快速衰减。我们还证明了非线性schr {Ö} dinger方程的多溶剂的相应结果，即孤子区域中的指数衰变和外部快速衰减。
We study pointwise spatial decay of multi-solitons of the generalized Korteweg-de Vries equations. We obtain that, uniformly in time, these solutions and their derivatives decay exponentially in space on the left of and in the solitons region, and prove rapid decay on the right of the solitons. We also prove the corresponding result for multi-solitons of the nonlinear Schr{ö}dinger equations, that is, exponential decay in the solitons region and rapid decay outside.
