Discussion on Peyrard Bishop DNA model for multi and breather waves, M-shaped rational and other interactional solutions

被引：0
|
作者：
Syed T. R. Rizvi
Aly R. Seadawy
机构：
[1] COMSATS University Islamabad,Department of Mathematics
[2] Lahore Campus,Mathematics Department, Faculty of Science
[3] Taibah University,undefined
来源：
Optical and Quantum Electronics | 2023年 / 55卷
关键词：
Lump wave; Multiwave; Rational solution; Ansatz transformations;
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学科分类号：
摘要：
In this article, we explore analytical rational solutions to the Peyrard Bishop DNA (PB-DNA) model such as lump soliton, kink soliton, periodic cross kink, multi wave and breather lump wave. By using ansatz transformation, we explore M-shaped rational solution for PB-DNA equation. Also, we acquire M-shaped rational solution with one kink and two kink. Furthermore, we compute kink cross rational solution, homoclinic breather solution. Additionally, two forms of interactions between the kinks waves and M-shaped rational solutions will be computed. Consequently, we study the stability of the acquired solutions and present in the form of table. We also illustrate our graphs in different dimensions such as 3D, 2D, contour and stream plots.
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