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Novel rogue waves in an inhomogenous nonlinear medium with external potentials |
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| Authors: | Xiao-Fei Wu Guo-Sheng Hua Zheng-Yi Ma |
| Affiliation: | 1. College of Computer and Information Engineering, Lishui University, Lishui 323000, Zhejiang, China;2. College of Mathematics and Physics, Lishui University, Lishui 323000, Zhejiang, China;3. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
| Abstract: | Employing the similarity transformation connected with the standard constant coefficient nonlinear Schrödinger equation, we obtain the analytical rogue wave solutions to a generalized variable coefficient nonlinear Schrödinger equation with external potentials describing the pulse propagation in nonlinear media with transverse and longitudinal directions nonuniformly distributed. Based on the obtained solutions, abundant structures of rogue waves are constructed by selecting some special parameters. The main properties as well as the dynamic behaviors of these rogue waves are discussed by direct computer simulations. |
| Keywords: | Nonlinear Schrödinger equation External potential Variable coefficient Similarity transformation Rogue wave |
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