title: Solutions of the cylindrical nonlinear Maxwell equations.
abstract: Cylindrical nonlinear optics is a burgeoning research area which describes cylindrical electromagnetic wave propagation in nonlinear media. Finding new exact solutions for different types of nonlinearity and inhomogeneity to describe cylindrical electromagnetic wave propagation is of great interest and meaningful for theory and application. This paper gives exact solutions for the cylindrical nonlinear Maxwell equations and presents an interesting connection between the exact solutions for different cylindrical nonlinear Maxwell equations. We also provide some examples and discussion to show the application of the results we obtained. Our results provide the basis for solving complex systems of nonlinearity and inhomogeneity with simple systems.
authors.affiliation: Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China. haoxiong1217@gmail.com
authors.forename: Hao
authors.initials: H
authors.lastname: Xiong
authors.forename: Liu-Gang
authors.initials: LG
authors.lastname: Si
authors.forename: Chunling
authors.initials: C
authors.lastname: Ding
authors.forename: Xin-You
authors.initials: XY
authors.lastname: Lü
authors.forename: Xiaoxue
authors.initials: X
authors.lastname: Yang
authors.forename: Ying
authors.initials: Y
authors.lastname: Wu