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A study of lump and line rogue wave solutions to a (2+1)-dimensional nonlinear equation
Journal of Geometry and Physics ( IF 1.5 ) Pub Date : 2021-05-12 , DOI: 10.1016/j.geomphys.2021.104274
Solomon Manukure , Yuan Zhou

In this article, a new (2+1)-dimensional extension of the Hietarinta equation is proposed. Two classes of lump and line rogue wave solutions are obtained for this equation by means of the Hirota bilinear method. These solutions, which are algebraically decaying rational solutions, arise from quadratic function solutions to the associated bilinear equation through a logarithmic transformation. Necessary and sufficient conditions that guarantee analiticity and rational localization of the solutions are also given, and finally, graphical representations of the solutions for some selected parameters are presented.



中文翻译:

(2 + 1)维非线性方程的行和行流浪解的研究

在本文中,提出了Hietarinta方程的新的(2 + 1)维扩展。利用Hirota双线性方法为该方程获得了两类总行和行流浪解。这些解决方案是代数上的有理解,它是通过对数变换,对相关联的双线性方程式的二次函数解而产生的。还给出了保证解的解析度和合理定位的充要条件,最后给出了一些选定参数的解的图形表示。

更新日期:2021-05-18
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