A more general form of lump solution,lumpoff,and instanton/rogue wave solutions of a reduced (3+1)-dimensional nonlinear evolution equation  

作　　者：Panfeng Zheng Man Jia 郑攀峰;贾曼

机构地区：[1]Physics Department,Ningbo University,Ningbo 315211,China [2]Ningbo Collaborative Innovation Center of Nonlinear Hazard System of Ocean and Atmosphere,Ningbo Univeisity,Ningbo 315211,China

出　　处：《Chinese Physics B》2018年第12期147-156,共10页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11675084 and 11435005);the Fund from the Educational Commission of Zhejiang Province,China(Grant No.Y201737177);Ningbo Natural Science Foundation(Grant No.2015A610159);the K C Wong Magna Fund in Ningbo University

摘　　要：In this manuscript,a reduced(3+1)-dimensional nonlinear evolution equation is studied.We first construct the bilinear formalism of the equation by using the binary Bell polynomials theory,then explore a lump solution to the special case for z=x.Furthermore,a more general form of lump solution of the equation is found which possesses seven arbitrary parameters and four constraint conditions.By cutting the lump by the induced soliton(s),lumpoff and instanton/rogue wave solutions are also constructed by the more general form of lump solution.In this manuscript,a reduced(3+1)-dimensional nonlinear evolution equation is studied.We first construct the bilinear formalism of the equation by using the binary Bell polynomials theory,then explore a lump solution to the special case for z=x.Furthermore,a more general form of lump solution of the equation is found which possesses seven arbitrary parameters and four constraint conditions.By cutting the lump by the induced soliton(s),lumpoff and instanton/rogue wave solutions are also constructed by the more general form of lump solution.

关 键 词：a reduced(3 + 1)-dimensional nonlinear evolution equation more general form of lump solution soliton induced by lump lumpoff and instanton/rogue wave solutions 

分 类 号：O4[理学—物理]