Stability of traveling-wave solutions for a Schrodinger system with power-type nonlinearities

Authors

Nghiem Nguyen, Utah State UniversityFollow
Rushun Tian, Chinese Academy of SciencesFollow
Zhi-Qiang Wang, Utah State UniversityFollow

Document Type

Article

Journal/Book Title/Conference

Electronic Journal of Differential Equations

Volume

217

Publisher

Texas State University - San Marcos

Publication Date

2014

First Page

1

Last Page

16

Abstract

In this article, we consider the Schrodinger system with powertype nonlinearities, (Formula presented) where j = 1,...,m, u_j are complex-valued functions of (x, t) 2 R^N+1, a, b are real numbers. It is shown that when b > 0, and a + (m - 1)b > 0, for a certain range of p, traveling-wave solutions of this system exist, and are orbitally stable.

Recommended Citation

Nguyen, Nghiem; Tian, Rushun; and Wang, Zhi-Qiang, "Stability of traveling-wave solutions for a Schrodinger system with power-type nonlinearities" (2014). Mathematics and Statistics Faculty Publications. Paper 197.
https://digitalcommons.usu.edu/mathsci_facpub/197