Abstract
In this paper, the exact spatiotemporal soliton solutions of the generalized $(3+1)$ -dimensional nonlinear Schrodinger equation with varying coefficients in optical fiber communication are obtained explicitly by using the similarity transformation. In addition, the propagation characteristics of the spatiotemporal optical solitons which can be dramatically affected by the complicated group velocity dispersion and self-phase modulation are discussed in detail.
Highlights
1 Introduction The nonlinear Schrödinger (NLS) equation is one of the important mathematical models in many fields of physics, which has been widely applied in Bose-Einstein condensates [ – ], nonlinear optical fiber communication [, ], plasma physics [, ], hydrodynamics [ ], and so on
More and more people have been devoted to solving the exact solutions of the generalized NLS models [ – ]
The temporal optical solitons of the NLS equation have been the objects of theoretical and experimental studies in optical fiber communication, and optical solitons are regarded as an important alternative to the generation of ultrafast optical telecommunication systems
Summary
The nonlinear Schrödinger (NLS) equation is one of the important mathematical models in many fields of physics, which has been widely applied in Bose-Einstein condensates [ – ], nonlinear optical fiber communication [ , ], plasma physics [ , ], hydrodynamics [ ], and so on. As is known to all, there are many kinds of powerful methods to obtain the exact solutions of various nonlinear wave equations such as the NLS-type equations.
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