M导数共振Davey-Stewartson方程的解析解

IF 1.8 4区物理与天体物理 Q3 PHYSICS, APPLIED

Modern Physics Letters B Pub Date : 2021-08-31 DOI:10.1142/s0217984921504558

H. Ismael, S. S. Atas, H. Bulut, M. Osman

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引用次数: 13

摘要

本文采用两种方法求解(2+1)维谐振Davey-Stewartson方程;即[公式:见文]-展开法和[公式:见文]-展开法。利用波变换将(2+1)维m阶谐振Davey-Stewartson (RDS)方程转化为非线性常微分方程组。成功地构造了不同形式的解，如暗解、亮解、奇异解和周期奇异解。为了更好地理解M-导数对所研究方程的影响，将M-导数和经典导数的解绘制成三维图形。

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Analytical solutions to the M-derivative resonant Davey–Stewartson equations

In this paper, the (2+1)-dimensional resonant Davey–Stewartson equations are solved by using two methods; namely, [Formula: see text]-expansion and [Formula: see text]-expansion methods. A wave transform is used to convert the (2+1)-dimensional resonant Davey–Stewartson (RDS) equations with M-derivative into a system of nonlinear ordinary differential equations. Different forms of solutions, such as dark, bright, singular and periodic singular solutions are successfully constructed. The obtained solutions are plotted in 3D for both M- derivative and classical derivative to more understand the effect of M-derivative on the studied equation.

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来源期刊

Modern Physics Letters B 物理-物理：凝聚态物理

CiteScore

3.70

自引率

10.50%

发文量

235

审稿时长

5.9 months

期刊介绍： MPLB opens a channel for the fast circulation of important and useful research findings in Condensed Matter Physics, Statistical Physics, as well as Atomic, Molecular and Optical Physics. A strong emphasis is placed on topics of current interest, such as cold atoms and molecules, new topological materials and phases, and novel low-dimensional materials. The journal also contains a Brief Reviews section with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.