TY - JOUR
T1 - Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients
AU - Zhong, Wei Ping
AU - Xie, Rui Hua
AU - Belić, Milivoj
AU - Petrović, Nikola
AU - Chen, Goong
PY - 2008/8/12
Y1 - 2008/8/12
N2 - An improved homogeneous balance principle and an F -expansion technique are used to construct exact periodic wave solutions to the generalized two-dimensional nonlinear Schrödinger equation with distributed dispersion, nonlinearity, and gain coefficients. For limiting parameters, these periodic wave solutions acquire the form of localized spatial solitons. Such solutions exist under certain conditions, and impose constraints on the functions describing dispersion, nonlinearity, and gain (or loss). We establish a simple procedure to select different classes of solutions, using the dispersion and the gain coefficient in one case, or the chirp function and the gain coefficient in the other case, as independent parameter functions. We present a few characteristic examples of periodic wave and soliton solutions with physical relevance.
AB - An improved homogeneous balance principle and an F -expansion technique are used to construct exact periodic wave solutions to the generalized two-dimensional nonlinear Schrödinger equation with distributed dispersion, nonlinearity, and gain coefficients. For limiting parameters, these periodic wave solutions acquire the form of localized spatial solitons. Such solutions exist under certain conditions, and impose constraints on the functions describing dispersion, nonlinearity, and gain (or loss). We establish a simple procedure to select different classes of solutions, using the dispersion and the gain coefficient in one case, or the chirp function and the gain coefficient in the other case, as independent parameter functions. We present a few characteristic examples of periodic wave and soliton solutions with physical relevance.
UR - http://www.scopus.com/inward/record.url?scp=49549122215&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.78.023821
DO - 10.1103/PhysRevA.78.023821
M3 - Article
AN - SCOPUS:49549122215
SN - 1050-2947
VL - 78
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 2
M1 - 023821
ER -