Dynamics of higher-order bright and dark rogue waves in a new (2+1)-dimensional integrable Boussinesq model

Singh Sudhir; Kaur Lakhveer; Sakkaravarthi K.; Sakthivel R.; Murugesan K.

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Dynamics of higher-order bright and dark rogue waves in a new (2+1)-dimensional integrable Boussinesq model

机译：新的（2 + 1） - 二维完善的Boussinesq模型中高阶明亮和深盗波的动态

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This work deals with the dynamics of higher-order rogue waves in a new integrable (2+1)-dimensional Boussinesq equation governing the evolution of high and steep gravity water waves. To achieve this objective, we construct rogue wave solutions by employing Bell polynomial and Hirota's bilinearization method, along with the generalized polynomial function. Through the obtained rogue wave solutions, we explore the impact of various system and solution parameters in their dynamics. Primarily, these parameters determine the characteristics of rogue waves, including the identification of their type, bright or dark type doubly-localized rogue wave structures and spatially localized rational solitons, and manipulation of their amplitude, depth, and width. Reported results will be encouraging to the studies on the rogue waves in higher dimensional systems as well as to experimental investigations on the controlling mechanism of rogue waves in optical systems, atomic condensates, and deep water oceanic waves.

机译：本文研究了一个新的（2+1）维可积Boussinesq方程中的高阶流氓波动力学，该方程控制着高陡重力水波的演化。为了实现这一目标，我们利用Bell多项式和Hirota的双线性化方法以及广义多项式函数构造了rogue波解。通过获得的流氓波解，我们探索了各种系统和解参数对其动力学的影响。这些参数主要决定流氓波的特征，包括识别其类型、亮或暗类型的双局部化流氓波结构和空间局部化的有理孤子，以及操纵其振幅、深度和宽度。所报道的结果将有助于高维系统中流氓波的研究，以及光学系统、原子凝聚体和深水海洋波中流氓波控制机制的实验研究。

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来源
《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2020年第11期|共13页
作者
Singh Sudhir; Kaur Lakhveer; Sakkaravarthi K.; Sakthivel R.; Murugesan K.;
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作者单位

Natl Inst Technol Tiruchirappalli Dept Math Tiruchirappalli 620015 Tamil Nadu India;

Jaypee Inst Informat Technol Dept Math Noida 201309 UP India;

Natl Inst Technol Tiruchirappalli Dept Phys Tiruchirappalli 620015 Tamil Nadu India;

Bharathiar Univ Dept Appl Math Coimbatore 641046 Tamil Nadu India;

Natl Inst Technol Tiruchirappalli Dept Math Tiruchirappalli 620015 Tamil Nadu India;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Higher dimensional nonlinear model; Boussinesq equation; Rogue Waves; Rational Solitons;

机译：高维非线性模型;Boussinesq方程;流氓波;理性孤子;

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Dynamics of higher-order bright and dark rogue waves in a new (2+1)-dimensional integrable Boussinesq model

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