Time-fractional Benjamin-Ono equation for algebraic gravity solitary waves in baroclinic atmosphere and exact multi-soliton solution as well as interaction
Time-fractional Benjamin-Ono equation for algebraic gravity solitary waves in baroclinic atmosphere and exact multi-soliton solution as well as interaction
复制标题
斜压大气中代数引力孤波的时间分数本杰明-小野方程及多孤子精确解及相互作用
DOI：
10.1016/j.cnsns.2018.11.017
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发表时间：
2019-06
影响因子：
3.9
通讯作者：
Fu Chen
中科院分区：
文献类型：
--
作者：
Yang Hongwei;Sun Junchao;Fu Chen
本文考虑斜压大气中的代数重力孤立波。采用多尺度分析和微扰方法得到Benjamin-Ono（BO）方程。基于半逆方法和Agrawal方法，推导了描述代数重力孤立波的时间分数阶BO方程。需要强调的是，时间分数阶微分积分方程（时间分数阶BO方程）与已有的分数阶微分方程有很大的不同。此外，时间分数阶BO方程的守恒律也将被讨论。最后，我们将利用Hirota双线性方法求出上述方程的精确多孤子解，并研究孤子解之间的相互作用。结果表明，代数重力孤立波的传播过程和传播特性随分数阶数的变化而变化。因此，构造时间分数阶BO方程不仅具有重要的理论价值，而且对研究实际海洋和大气的代数重力孤立波更具有实用价值。
In this article, we will consider algebraic gravity solitary waves of the baroclinic atmosphere. The Benjamin-Ono (BO) equation will be obtained by employing multi-scale analysis and perturbation method. Based on the semi-inverse method and the Agrawal’s method, the time-fractional BO equation will be derived to describe the algebraic gravity solitary waves. We need to emphasis that the time-fractional differential-integral equation(time-fractional BO equation) is great different from the existing fractional order differential equation. Further, the conservation laws of the time-fractional BO equation will also be discussed. Finally, we will use the Hirota bidglinear method to find the exact multi-soliton solutions to the above equation and research the interaction between the soliton solutions. The results show that the propagation processes and characteristics of algebraic gravity solitary waves change with the change of the fractional order. Therefore, constructing time-fractional BO equation is not only of great theoretical value but also of more practical value for the study of algebraic gravity solitary waves of actual ocean and atmosphere.
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(2 1) 维 Ito 方程的集总解和集总孤子解
DOI：
10.1007/s13324-017-0181-9
发表时间：
--
期刊：
Anal.Math.Phys.
影响因子：
--
作者：
wx ma
通讯作者：
wx ma
影响因子：
1.3
作者：
Yuan Zhou;W. Ma
通讯作者：
Yuan Zhou;W. Ma
影响因子：
5.6
作者：
Agrawal, OP
通讯作者：
Agrawal, OP
影响因子：
1.4
作者：
Mengshuang Tao;Huanhe Dong
通讯作者：
Mengshuang Tao;Huanhe Dong
影响因子：
1.3
作者：
N. Taghizadeh;M. Mirzazadeh;F. Farahrooz
通讯作者：
N. Taghizadeh;M. Mirzazadeh;F. Farahrooz