Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrodinger equation with distributed coefficients Academic Article uri icon


  • An improved homogeneous balance principle and an F -expansion technique are used to construct exact periodic wave solutions to the generalized two-dimensional nonlinear Schrdinger 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. 2008 The American Physical Society.

published proceedings


author list (cited authors)

  • Zhong, W., Xie, R., Belic, M., Petrovic, N., & Chen, G.

citation count

  • 98

complete list of authors

  • Zhong, Wei-Ping||Xie, Rui-Hua||Belic, Milivoj||Petrovic, Nikola||Chen, Goong

publication date

  • August 2008