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

doi:10.1088/1674-1056/aba612

中国物理B ›› 2020, Vol. 29 ›› Issue (11): 114701-.doi: 10.1088/1674-1056/aba612

Md Fazlul Hoque¹^,†(), Harun-Or-Roshid¹^,^‡, Fahad Sameer Alshammari²

收稿日期:2020-06-01 修回日期:2020-07-06 接受日期:2020-07-15 出版日期:2020-11-05 发布日期:2020-11-03

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

Md Fazlul Hoque^{1, †}, Harun-Or-Roshid^{1,, ‡}, and Fahad Sameer Alshammari²

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

Received:2020-06-01 Revised:2020-07-06 Accepted:2020-07-15 Online:2020-11-05 Published:2020-11-03
Contact: ^†Corresponding author. E-mail: fazlul_math@yahoo.co.in; f.alshammari@psau.edu.sa ^‡Corresponding author. E-mail: harunorroshidmd@gmail.com

摘要/Abstract

Abstract:

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.

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

Md Fazlul Hoque, Harun-Or-Roshid, Fahad Sameer Alshammari. [J]. 中国物理B, 2020, 29(11): 114701-.

Md Fazlul Hoque, Harun-Or-Roshid, and Fahad Sameer Alshammari. Dynamical interactions between higher-order rogue waves and various forms of n-soliton solutions (n → ∞) of the (2+1)-dimensional ANNV equation[J]. Chin. Phys. B, 2020, 29(11): 114701-.

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

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