Exact spatial similaritons for the generalized (2+1)-dimensional nonlinear Schrödinger equation with distributed coefficients
School of Physical Science and Technology, Suzhou University - Suzhou, Jiangsu 215006, PRC
2 School of Sciences, Zhejiang A&F University - Lin'an, Zhejiang 311300, PRC
3 Institute of Nonlinear Physics, Zhejiang Normal University - Jinhua, Zhejiang 321004, PRC
Accepted: 10 October 2010
Based on a similarity transformation, we obtain exact spatial bright and dark similariton pairs and bright similaritons on continuous-wave backgrounds of the generalized (2+1)-dimensional nonlinear Schrödinger equation with space-dependent diffraction, nonlinearity, and gain coefficients. Some characteristic examples with physical relevance and the interaction behaviors of these similaritons are studied.
PACS: 42.81.Dp – Propagation, scattering, and losses; solitons / 42.65.Tg – Optical solitons; nonlinear guided waves / 05.45.Yv – Solitons
© EPLA, 2010