Analytical approach to study weakly nonlocal fractional Schrödinger equation via novel transform

被引：4

作者：

Yadav, Lokesh Kumar ^{[1
]}

Agarwal, Garima ^{[1
]}

Gour, Murli Manohar ^{[2
]}

Kumari, Manjeet ^{[3
]}

机构：

[1] Manipal Univ Jaipur, Dept Math & Stat, Jaipur, Rajasthan, India

[2] Vivekananda Global Univ, Dept Math, Jaipur, Rajasthan, India

[3] LBS PG Coll, Dept Math, Jaipur, Rajasthan, India

来源：

INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2024年 / 12卷 / 01期

关键词：

Weakly nonlocal fractional Schrodinger equation; Adomian polynomial; Shehu transform; Caputo derivative; OPTICAL SOLITONS; LAPLACE; NONLINEARITY; MODEL;

D O I：

10.1007/s40435-023-01246-x

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Our main goal is to examined weakly nonlocal Schrodinger equation incorporating nonlinearity of the parabolic law and external potential using the Shehu transform decomposition method. The proposed method contributes the exact and analytical solutions for the bright soliton, dark soliton, and exponential solutions. The simulated outcomes reveal that only a few number of terms are required to achieve accurate and trustworthy approximations. Additionally, the physical behaviour of STDM solutions have been illustrated in plots for various fractional orders, and the numerical outcomes are also exhibited.

引用

页码：271 / 282

页数：12

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