Abstract
In this article, we study existence and stability of ground states for a system of two coupled nonlinear Schrodinger equations with logarithmic nonlinearity. Moreover, global well-posedness is verified for the Cauchy problem in \(H^{1}(\mathbb{R})\times H^{1}(\mathbb{R})\) and in an appropriate Orlicz space.
For more information see https://ejde.math.txstate.edu/Volumes/2023/76/abstr.html
Reference26 articles.
1. G. P. Agrawal; Nonlinear Fiber Optics. Academic Press, 2007.
2. J. Albert, S. Bhattarai; Existence and stability of a two-parameter family of solitary waves for an NLS-KdV system. Adv. Differ. Equ., 18:1129-1164, 2013.
3. A. Ambrosetti, E. Colorado; Bound and ground states of coupled nonlinear Schrodinger equations. C. R. Math. Acad.Sci. Paris, 342(7):453-458, 2006.
4. A. Ambrosetti, E. Colorado; Standing waves of some coupled nonlinear Schrodinger equations. J. Lond. Math. Soc., 75(2):67-82, 2007.
5. A. H. Ardila; Orbital stability of Gausson solutions to logarithmic Schrodinger equations. Electron. J. Differ. Equ., 335:1-9, 2016.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献