典型文献
Collisions Between Lumps/Rogue Waves and Solitons for A(3+1)-Dimen-sional Generalized Variable-Coefficient Shallow Water Wave Equation
文献摘要:
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 science.Employing the Kadomtsev-Petviashvili hierarchy reduction,we obtain the semi-rational solutions which describe the lumps and rogue waves interacting with the kink solitons.We find that the lump appears from one kink soliton and fuses into the other on the x-y and x-t planes.However,on the x-z plane,the localized waves in the middle of the parallel kink solitons are in two forms:lumps and line rogue waves.The effects of the variable coefficients on the two forms are discussed.The dispersion coefficient influences the speed of solitons,while the background coefficient influences the background's height.
文献关键词:
中图分类号:
作者姓名:
WU Xiao-yu;DU Zhong
作者机构:
School of Science,Beijing Forestry University,Beijing 100083,China;Department of Mathematics and Physics,North China Electric Power University,Baoding 071003,China
文献出处:
引用格式:
[1]WU Xiao-yu;DU Zhong-.Collisions Between Lumps/Rogue Waves and Solitons for A(3+1)-Dimen-sional Generalized Variable-Coefficient Shallow Water Wave Equation)[J].中国海洋工程(英文版),2022(05):808-813
A类:
Collisions,Lumps,Rogue,Dimen
B类:
Between,Waves,Solitons,3+1,Generalized,Variable,Coefficient,Shallow,Water,Equation,In,this,paper,investigate,dimensional,generalized,variable,shallow,water,equation,which,can,used,describe,flow,below,pressure,surface,oceanography,atmospheric,science,Employing,Kadomtsev,Petviashvili,hierarchy,reduction,obtain,semi,rational,solutions,lumps,rogue,waves,interacting,kink,solitons,We,find,that,appears,from,one,fuses,into,other,planes,However,localized,middle,parallel,are,two,forms,line,effects,coefficients,discussed,dispersion,influences,speed,while,background,height
AB值:
0.571227
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