TY - JOUR
T1 - Traveling Wave Solutions and Their Stability of Nonlinear Schrödinger  Equation with Weak Dissipation
AU - Xu , Yancong
AU - Lan , Tianzhu
AU - Liu , Yongli
JO - Annals of Applied Mathematics
VL - 2
SP - 183
EP - 199
PY - 2022
DA - 2022/06
SN - 32
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20637.html
KW - nonlinear Schrödinger equation, extended homogeneous balance method, amplitude wave solutions, stability.
AB - <p style="text-align: justify;">In this paper, several new constant-amplitude and variable-amplitude wave
solutions (namely, traveling wave solutions) of a generalized nonlinear Schrödinger equation are investigated by using the extended homogeneous balance
method, where the balance method is applied to solve the Riccati equation and
the reduced nonlinear ordinary differential equation, respectively. In addition,
stability analysis of those solutions are also conducted by regular phase plane
technique.</p>