TY - JOUR
T1 - Rogue wave solutions to the generalized nonlinear Schrödinger equation with variable coefficients
AU - Zhong, Wei Ping
AU - Belić, Milivoj R.
AU - Huang, Tingwen
PY - 2013/6/7
Y1 - 2013/6/7
N2 - A similarity transformation is utilized to reduce the generalized nonlinear Schrödinger (NLS) equation with variable coefficients to the standard NLS equation with constant coefficients, whose rogue wave solutions are then transformed back into the solutions of the original equation. In this way, Ma breathers, the first- and second-order rogue wave solutions of the generalized equation, are constructed. Properties of a few specific solutions and controllability of their characteristics are discussed. The results obtained may raise the possibility of performing relevant experiments and achieving potential applications.
AB - A similarity transformation is utilized to reduce the generalized nonlinear Schrödinger (NLS) equation with variable coefficients to the standard NLS equation with constant coefficients, whose rogue wave solutions are then transformed back into the solutions of the original equation. In this way, Ma breathers, the first- and second-order rogue wave solutions of the generalized equation, are constructed. Properties of a few specific solutions and controllability of their characteristics are discussed. The results obtained may raise the possibility of performing relevant experiments and achieving potential applications.
UR - https://www.scopus.com/pages/publications/84879669401
U2 - 10.1103/PhysRevE.87.065201
DO - 10.1103/PhysRevE.87.065201
M3 - Article
AN - SCOPUS:84879669401
SN - 1539-3755
VL - 87
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 6
M1 - 065201
ER -