Existence of the stable traveling wave for half-wave equation withL2-critical combined nonlinearities

被引：3

作者：

Li, Yuan ^{[1
]}

Zhao, Dun ^{[1
]}

Wang, Qingxuan ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua, Zhejiang, Peoples R China

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 07期

关键词：

Half-wave equation; L-2-mass critical nonlinearity; traveling wave; concentration compactness; orbital stability; BLOW-UP SOLUTIONS; SCHRODINGER-EQUATION; STANDING WAVES; NLS;

D O I：

10.1080/00036811.2020.1811976

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the Cauchy problem of the half-wave equation with-critical combined nonlinearitieswe prove that the traveling wave is stable. we obtain the existence of traveling wave solution of the formz/r(t,x) eit uv(x vt) with 0 < Iv' If 11 X0112 II Qv112, where Qv is a solution of the equation

引用

页码：2498 / 2510

页数：13

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