Rogue waves of a (3+1)-dimensional nonlinear evolution equation
Rogue waves of a (3+1)-dimensional nonlinear evolution equation
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DOI：
10.1016/j.cnsns.2016.07.021
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发表时间：
2017-03
期刊：
影响因子：
--
通讯作者：
Yu-bin Shi;Yi Zhang
中科院分区：
文献类型：
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作者：
Yu-bin Shi;Yi Zhang
用Hirota双线性方法得到了(3+1)维非线性发展方程((3+1)-dNEE)的一般高阶流浪波，它们是以行列式形式给出的，其矩阵元具有简单的代数表达式。结果表明，最简单的(基本)流浪波是从具有线形轮廓的恒定背景中产生，然后又消失在恒定背景中的线流浪波。详细分析了非基本流浪波的两个子类。通过适当的自由参数调节，在(x，t)平面和(y，z)平面上用三维图形显示了多流浪波和高阶流浪波的动力学。
General high-order rogue waves of a (3+ 1)-dimensional Nonlinear Evolution Equation ((3+ 1)-d NEE) are obtained by the Hirota bilinear method, which are given in terms of determinants, whose matrix elements possess plain algebraic expressions. It is shown that the simplest (fundamental) rogue waves are line rogue waves which arise from the constant background with a line profile and then disappear into the constant background again. Two subclass of nonfundamental rogue waves are analyzed in details. By proper means of the regulations of free parameters, the dynamics of multi-rogue waves and high-order rogue waves have been illustrated in (x, t) plane and (y, z) plane by three dimensional figures.