Collisions Between Lumps/Rogue Waves and Solitons for A(3+1)-Dimensional Generalized Variable-Coefficient Shallow Water Wave Equation

作     者：WU Xiao-yu DU Zhong WU Xiao-yu;DU Zhong

作者机构：School of ScienceBeijing Forestry UniversityBeijing 100083China Department of Mathematics and PhysicsNorth China Electric Power UniversityBaoding 071003China 

出 版 物：《China Ocean Engineering》 (中国海洋工程（英文版）)

年 卷 期：2022年第36卷第5期

页      面：808-813页

核心收录：

学科分类：07[理学] 0707[理学-海洋科学] 

基　　金：financially supported by the Fundamental Research Funds for the Central Universities(Grant No.BLX201927) China Postdoctoral Science Foundation(Grant No.2019M660491) the Natural Science Foundation of Hebei Province(Grant No.A2021502003) 

主　　题：variable-coefficient shallow water wave equation lumps linear rogue waves Kadomtsev-Petviashvili hierarchy reduction 

摘      要：In this paper,we investigate a(3+1)-dimensional generalized variable-coefficient shallow water wave equation,which can be used to describe the flow below a pressure surface in oceanography and atmospheric *** the Kadomtsev−Petviashvili hierarchy reduction,we obtain the semi-rational solutions which describe the lumps and rogue waves interacting with the kink *** find that the lump appears from one kink soliton and fuses into the other on the x−y and x−t ***,on the x−z plane,the localized waves in the middle of the parallel kink solitons are in two forms:lumps and line rogue *** effects of the variable coefficients on the two forms are *** dispersion coefficient influences the speed of solitons,while the background coefficient influences the background’s height.