论文标题
在海洛塔方程的双周期背景上的流氓波浪
Rogue waves on the double periodic background in Hirota equation
论文作者
论文摘要
我们通过一折Darboux转换公式在双周期背景的双周期背景上构建Rogue Wave解决方案。我们将两种类型的双重周期溶液视为种子解决方案。我们通过具有两个特征值的代数方法来识别出在一折Darboux转换公式中出现的平方本征和特征值。然后，我们分两个步骤构建所需的解决方案。在第一步中，我们创建双重周期波作为背景。在第二步中，我们在此双重周期解决方案的顶部构建了Rogue Wave解决方案。我们介绍了两个任意参数的两个不同值的本地结构，每个值都有两个不同的特征值集。
We construct rogue wave solutions on the double periodic background for the Hirota equation through one fold Darboux transformation formula. We consider two types of double periodic solutions as seed solutions. We identify the squared eigenfunctions and eigenvalues that appear in the one fold Darboux transformation formula through an algebraic method with two eigenvalues. We then construct the desired solution in two steps. In the first step, we create double periodic waves as the background. In the second step, we build rogue wave solution on the top of this double periodic solution. We present the localized structures for two different values of the arbitrary parameter each one with two different sets of eigenvalues.
