The Phase Shift of Line Solitons for the KP-II Equation
The Phase Shift of Line Solitons for the KP-II Equation
复制标题
KP-II方程的线孤子相移
DOI：
10.1007/978-1-4939-9806-7_10
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Mizumachi Tetsu
中科院分区：
文献类型：
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作者：
木下武彦;渡部善隆;中尾充宏;Mizumachi Tetsu
Kadomtsev和Petviashvili(Sov Phys Dokl 15：539-541,1970)推导了Kp-II方程来解释浅水线孤立波的稳定性。Mizumachi(Mem AMS 238：1125,2015；Proc R Soc Edinb SectionA148：149-198,2018)已经证明了线孤子的稳定性，并且发现调制线孤子的局部相移在横向上是不均匀的。本文得到了多项式局域扰动下调制线孤子的局域相移的∞界。
The KP-II equation was derived by Kadomtsev and Petviashvili (Sov Phys Dokl 15:539–541, 1970) to explain stability of line solitary waves of shallow water. Stability of line solitons has been proved by Mizumachi (Mem AMS 238:1125, 2015; Proc R Soc Edinb Sect A 148:149–198, 2018) and it turns out the local phase shift of modulating line solitons are not uniform in the transverse direction. In this paper, we obtain theL∞-bound for the local phase shift of modulating line solitons for polynomially localized perturbations.