High-speed excited multi-solitons in competitive power nonlinear Schrodinger equations

被引：2

作者：

Bai, Mengxue ^{[1
]}

Zhang, Jian ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Nonlinear Schrodinger equation; Excited states; Bootstrap argument; Compactness method; Multi-solitons; 3-DIMENSIONAL SPINNING SOLITONS; SOLITARY WAVES; CONSTRUCTION; EXISTENCE;

D O I：

10.1007/s00033-022-01774-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the competitive power nonlinear Schrodinger equation, which originates from the cubic-quintic model in physics. The equation admits infinitely many excited solitons, and the Cauchy problem is globally well-posed in the energy space. In terms of Cote and Le Coz's argument, high-speed excited multi-solitons of the equation are constructed, which extend Cote and Le Coz's results from the focusing nonlinear cases to the competitive nonlinear cases combining the focusing nonlinearities and defocusing nonlinearities.

引用

页数：13

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