Electronic Journal of Differential Equations
Texas State University - San Marcos
In this article, we consider the Schrodinger system with powertype nonlinearities, (Formula presented) where j = 1,...,m, uj are complex-valued functions of (x, t) 2 RN+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.
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.