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

共 50 条

[31] Multi solitary waves to stochastic nonlinear Schrodinger equations [J].

Roeckner, Michael ;

Su, Yiming ;

Zhang, Deng .

PROBABILITY THEORY AND RELATED FIELDS, 2023, 186 (3-4) :813-876

[32] Global dynamics below excited solitons for the nonlinear Schrodinger equation with a potential [J].

Nakanishi, Kenji .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2017, 69 (04) :1353-1401

[33] INSTABILITY OF ALGEBRAIC STANDING WAVES FOR NONLINEAR SCHRODINGER EQUATIONS WITH DOUBLE POWER NONLINEARITIES [J].

Fukaya, Noriyoshi ;

Hayashi, Masayuki .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (02) :1421-1447

[34] Construction of excited multi-solitons for the 5D energy-critical wave equation [J].

Yuan, Xu .

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2021, 18 (02) :397-434

[35] Optical solitons, complexitons and power series solutions of the perturbed nonlinear Schrodinger equation [J].

Wang, Hui ;

Zhang, Tian-Tian .

MODERN PHYSICS LETTERS B, 2018, 32 (21)

[36] Asymptotic stability of solitons to 1D nonlinear Schrodinger equations in subcritical case [J].

Li, Ze .

FRONTIERS OF MATHEMATICS IN CHINA, 2020, 15 (05) :923-957

[37] On Nonlinear Schrodinger Equations with Repulsive Inverse-Power Potentials [J].

Dinh, Van Duong .

ACTA APPLICANDAE MATHEMATICAE, 2021, 171 (01)

[38] MULTI-BUMP SOLUTIONS FOR NONLINEAR SCHRODINGER EQUATIONS WITH ELECTROMAGNETIC FIELDS [J].

Pi, Huirong ;

Wang, Chunhua .

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2013, 19 (01) :91-111

[39] Multi-spike positive solutions for nonlinear fractional Schrodinger equations [J].

Long, Wei ;

Wang, Qingfang ;

Yang, Jing .

APPLICABLE ANALYSIS, 2016, 95 (08) :1616-1634

[40] Neural Network Modeling of Optical Solitons Described by Generalized Nonlinear Schrodinger Equations [J].

Zavertyaev, S. V. ;

Moloshnikov, I. A. ;

Sboev, A. G. ;

Kuvakin, M. S. .

MOSCOW UNIVERSITY PHYSICS BULLETIN, 2024, 79 (SUPPL2) :S666-S675

← 1 2 3 4 5 →