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.
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页数：13
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