title: Initial value problems of cylindrical electromagnetic waves propagation in a nonlinear nondispersive medium.
abstract: We introduce a simple method to estimate the accuracy of exact solutions under initial value conditions proposed by Petrov and Kudrin [Phys. Rev. Lett. 104, 190404 (2010)]. We demonstrate that even for a sufficiently weak nonlinearity, the initial value condition difference between linear and nonlinear case may be evident. Our result may be used as a criterion of employing the exact solution to deal with initial value problems of cylindrical electromagnetic wave propagation in a nonlinear nondispersive medium.
authors.affiliation: School of Physics and Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China.
authors.forename: Si-Yun
authors.initials: SY
authors.lastname: Chen
authors.forename: Tong
authors.initials: T
authors.lastname: Li
authors.forename: Jun-Bin
authors.initials: JB
authors.lastname: Xie
authors.forename: Hui
authors.initials: H
authors.lastname: Xie
authors.forename: Ping
authors.initials: P
authors.lastname: Zhou
authors.forename: Yang-Fan
authors.initials: YF
authors.lastname: Tian
authors.forename: Hao
authors.initials: H
authors.lastname: Xiong
authors.forename: Liu-Gang
authors.initials: LG
authors.lastname: Si