School of Computer Science, Chengdu University, China.
Department of Mathematics, University of Punjab, Lahore, Pakistan.
Math Biosci Eng. 2021 Oct 29;18(6):9496-9510. doi: 10.3934/mbe.2021466.
Lie Symmetry analysis is often used to exploit the conservative laws of nature and solve or at least reduce the order of differential equation. One dimension internal waves are best described by Benjamin-Ono equation which is a nonlinear partial integro-differential equation. Present article focuses on the Lie symmetry analysis of this equation because of its importance. Lie symmetry analysis of this equation has been done but there are still some gaps and errors in the recent work. We claim that the symmetry algebra is of five dimensional. We reduce the model and solve it. We give its solution and analyze them graphically.
李对称分析通常用于利用自然的守恒定律和解决或至少降低微分方程的阶数。一维内波最好用 Benjamin-Ono 方程来描述，这是一个非线性偏积分微分方程。由于其重要性，本文主要关注该方程的李对称分析。该方程的李对称分析已经完成，但在最近的工作中仍存在一些差距和错误。我们声称对称代数是五维的。我们简化模型并求解它。我们给出了它的解，并通过图形进行了分析。
