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

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

引用次数: 13

Abstract

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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M导数共振Davey-Stewartson方程的解析解

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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

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