Nghiem V. Nguyen, Rushun Tian, Zhi-Qiang Wang
Abstract:
In this article, we consider the Schrodinger system with
power-type nonlinearities,
where
,
are complex-valued functions of
,
a,b are real numbers. It is shown that when
, and
,
for a certain range of p, traveling-wave solutions of this system exist,
and are orbitally stable.
Submitted November 22, 2013. Published October 16, 2014.
Math Subject Classifications: 35A15, 35B35, 35Q35, 35Q55.
Key Words: solitary wave solutions; stability; nonlinear Schrodinger system;
traveling-wave solutions
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Nghiem V. Nguyen Department of Mathematics and Statistics Utah State University, Logan, UT 84322, USA email: nghiem.nguyen@usu.edu | |
Rushun Tian Academy of Mathematics and System Science Chinese Academy of Sciences Beijing 100190, China email: rushun.tian@amss.ac.cn | |
Zhi-Qiang Wang Department of Mathematics and Statistics Utah State University, Logan, UT 84322, USA email: zhiqiang.wang@usu.edu |
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