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Solitons with Periodic Behavior in Korteweg-de Vries Type Models Related to Schrödinger System
Authors:ZHENG Chun-Long  ZHANG Jie-Fang  XU Chang-Zhi  CHEN Li-Qun
Institution:1. Department of Physics, Zhejiang Lishui University, Lishui 323000, China ;2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China ;3. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China
Abstract:The linear variable separation approach is successfully extended to (1+1)-dimensional Korteweg-de Vries (KdV) type models related to Schrödinger system. Some significant types of solitons such as compacton, peakon, and loop solutions with periodic behavior are simultaneously derived from the (1+1)-dimensional soliton system by entrancing appropriate piecewise smooth functions and multivalued functions.
Keywords:KdV type system    variable separation approach  soliton  periodic behavior                                                                                                                                
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