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Some new dispersive dromions and integrability analysis for the Davey–Stewartson (DS-II) model in fluid dynamics
Modern Physics Letters B ( IF 1.9 ) Pub Date : 2021-11-11 , DOI: 10.1142/s0217984921505394
Urooj Akram 1 , Aly. R. Seadawy 2 , Syed T. R. Rizvi 1 , Muhammad Younis 3 , Ali Althobaiti 4
Affiliation  

This paper focuses on the Davey–Stewartson (DS)-II equation, and the extended modified auxiliary equation mapping (EMAEM) architectonic is used to develop a new set of solutions such as kink, singular kink, rational, combined soliton-like solutions, bell-type solutions, trigonometric and hyperbolic solutions. Furthermore, this study reveals that the used technique is efficient for solving other nonlinear evolution equations (NLEEs). The Painleve test (P-test) will also be used to examine the integrability of the DS-II equation. Finally, graphical simulations are designed to show the exact behavior of solutions as well as the efficacy of the suggested strategy.

中文翻译:

流体动力学中 Davey-Stewartson (DS-II) 模型的一些新的色散 dromions 和可积性分析

本文重点研究 Davey-Stewartson (DS)-II 方程,并使用扩展修正辅助方程映射 (EMAEM) 架构来开发一组新的解,例如扭结、奇异扭结、有理、组合类孤子解决方案,钟型解、三角解和双曲解。此外,这项研究表明,所使用的技术对于求解其他非线性演化方程 (NLEE) 是有效的。疼痛水平测试 (-test) 也将用于检查 DS-II 方程的可积性。最后,图形模拟旨在显示解决方案的确切行为以及建议策略的有效性。
更新日期:2021-11-11
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