Multi-Peak Solutions for Coupled Nonlinear Schrodinger Systems in Low Dimensions

journal article in Web of Science

English

In this paper, we construct the solutions to the nonlinear Schrodinger system. We construct the solution for attractive and repulsive cases. When $x_0$ is a local maximum point of the potentials P and Q and $P(x_0) = Q(x_0)$, we construct k spikes concentrating near the local maximum point $x_0$. When x_0$ is a local maximum point of P and $x^{\ bar}_ 0$ is a local maximum point of Q, we construct k spikes of $ u $ concentrating at the local maximum point $ x_0$ and m spikes of v concentrating at the local maximum point $x^{\ bar}_ 0$ when $x_0 \ not = $x^{\ bar}_ 0$ This paper extends the main results established by Peng and Wang (Arch Ration Mech Anal 208:305-339, 2013) and Peng and Pi (Discrete Contin Dyn Syst 36:2205-2227, 2016), where the authors considered the case N = 3, p = 3.

Nonlinear Schrodinger system;Lyapunov-Schmidt reduction;Singularity; Perturbation

ZHENG, M.; ZHANG, B.; RADULESCU, V.

13. 6. 2023

Springer Nature

0095-4616

APPLIED MATHEMATICS AND OPTIMIZATION

88

1

Federal Republic of Germany

1

56

56

https://link.springer.com/article/10.1007/s00245-023-09974-4

http://hdl.handle.net/11012/213634