Concepedia

Analytical spatiotemporal localizations for the generalized (3+1)-dimensional nonlinear Schrödinger equation

Chao‐Qing Dai, Yue‐Yue Wang, Jie-Fang Zhang

Optics Letters · 2010 · 179 citations · 10 references

DOI

Concepts

Abstract

We derive analytical 3D spatiotemporal similaritons and solitons of the generalized (3+1)-dimensional nonlinear Schrödinger equation with distributed coefficients.

References

10

Spatiotemporal optical solitons

Boris A. Malomed, Dumitru Mihalache, Frank W. Wise et al. · Journal of Optics B Quantum and Semiclassical Optics · 2005 · 892 citations · Full text

, , +14

Novel Soliton Solutions of the Nonlinear Schrödinger Equation Model

V. N. Serkin, Akira Hasegawa · Physical Review Letters · 2000 · 770 citations

, , +14

Exact Self-Similar Solutions of the Generalized Nonlinear Schrödinger Equation with Distributed Coefficients

Anna C. Peacock, J.D. Harvey · Physical Review Letters · 2003 · 529 citations

, , +17

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

Wei‐Ping Zhong, Rui‐Hua Xie, Milivoj R. Belić et al. · Physical Review A · 2008 · 113 citations

, , +12

Chirped and chirp-free self-similar cnoidal and solitary wave solutions of the cubic-quintic nonlinear Schrödinger equation with distributed coefficients

Chao‐Qing Dai, Yue‐Yue Wang, Caijie Yan · Optics Communications · 2009 · 102 citations

, , +13