广义Davey-Stewartson系统中的小孤子和多孤子

IF 3.2 1区数学 Q1 MATHEMATICS

Advances in Nonlinear Analysis Pub Date : 2022-10-07 DOI:10.1515/anona-2022-0266

M. Bai, Jian Zhang, Shihui Zhu

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引用次数: 0

摘要

摘要通过引入和求解一个新的交叉约束变分问题，建立了二维广义Davey-Stewartson系统中孤子的规定质量与频率的一一对应关系。证明了小土基随频率变化的轨道稳定性。不同速度的多孤子是由稳定的小孤子构成的。

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Small solitons and multisolitons in the generalized Davey-Stewartson system

Abstract By introducing and solving a new cross-constrained variational problem, a one-to-one correspondence from the prescribed mass to frequency of soliton is established for the generalized Davey-Stewartson system in two-dimensional space. Orbital stability of small soiltons depending on frequencies is proved. Multisolitons with different speeds are constructed by stable small solitons.

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来源期刊

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.