Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients

Wei Ping Zhong*, Rui Hua Xie, Milivoj Belić, Nikola Petrović, Goong Chen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

124 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number023821
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume78
Issue number2
DOIs
Publication statusPublished - 12 Aug 2008
Externally publishedYes

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