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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU148441" target="_blank" >RIV/00216305:26220/23:PU148441 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00245-023-09974-4" target="_blank" >https://link.springer.com/article/10.1007/s00245-023-09974-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00245-023-09974-4" target="_blank" >10.1007/s00245-023-09974-4</a>

Result language
angličtina
Original language name
Multi-Peak Solutions for Coupled Nonlinear Schrodinger Systems in Low Dimensions
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)