New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method-Reference-Cited by-同舟云学术

New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method

Published:2023-01-12 Issue: Volume:2023 Page:1-6
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Ahmad Khalil¹^ORCID,Bibi Khudija²^ORCID,Arif Muhammad Shoaib³^ORCID,Abodayeh Kamaleldin³^ORCID

Affiliation:

1. Department of Mathematics, Air University, PAF-Complex E-9, Islamabad, Pakistan

2. Department of Mathematics, Faculty of Basic and Applied Sciences, International Islamic University, Islamabad, Pakistan

3. Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Abstract

In the present study, the optimality approach is applied to find the exact solution of the Landau-Ginzburg-Higgs Equation (LGHE) using new transformations. This method is a direct algebraic method for obtaining exact solutions of nonlinear differential equations. We find suitable solutions of the LGHE in terms of elliptic Jacobi functions by applying transformations of basic functions. Exact solutions of the equations are obtained with the help of symbolic software (Maple) which allows the computation of equations with parameter constants. It is exposed that PIM is influential, suitable, and shortest and offers an exact solution of LGHE.

Funder

Prince Sultan University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2023/4351698.pdf

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3. New Exact Solutions of Date Jimbo Kashiwara Miwa Equation Using Lie Symmetry Groups