Dynamical interactions between higher-order rogue waves and various forms ofn-soliton solutions(n→∞)of the(2+1)-dimensional ANNV equation  

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作  者:Md Fazlul Hoque Harun-Or-Roshid Fahad Sameer Alshammari 

机构地区:[1]Department of Mathematics,Pabna University of Science and Technology,Pabna 6600,Bangladesh [2]Department of Mathematics,College of Science at Alkharj,Prince Sattam bin Abdulaziz University,Alkharj,Saudi Arabia

出  处:《Chinese Physics B》2020年第11期391-397,共7页中国物理B(英文版)

摘  要:We present new lemmas,theorem and corollaries to construct interactions among higher-order rogue waves,n-periodic waves and n-solitons solutions(n→∞)to the(2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov(ANNV)equation.Several examples for theories are given by choosing definite interactions of the wave solutions for the model.In particular,we exhibit dynamical interactions between a rogue and a cross bright-dark bell wave,a rogue and a cross-bright bell wave,a rogue and a one-,two-,three-,four-periodic wave.In addition,we also present multi-types interactions between a rogue and a periodic cross-bright bell wave,a rogue and a periodic cross-bright-bark bell wave.Finally,we physically explain such interaction solutions of the model in the 3D and density plots.

关 键 词:the(2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov(ANNV)equation higher-order rogue waves n-solitons periodic waves bright-dark bell waves 

分 类 号:O175[理学—数学]

 

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