Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities
Analysis of PDEs
2021-05-05 v2
Abstract
In this note we study analytically and numerically the existence and stability of standing waves for one dimensional nonlinear Schr\"odinger equations whose nonlinearities are the sum of three powers. Special attention is paid to the curves of non-existence and curves of stability change on the parameter planes.
Keywords
Cite
@article{arxiv.2102.01246,
title = {Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities},
author = {Fei Liu and Tai-Peng Tsai and Ian Zwiers},
journal= {arXiv preprint arXiv:2102.01246},
year = {2021}
}
Comments
Reference [10] added. Equations (2.15)-(2.16) and the proof of Proposition 4.1 revised