Application of modified exp-function method for strain wave equation for finding analytical solutions

被引：44

作者：

Shakeel, Muhammad ^{[1
]}

Attaullah ^{[1
]}

Shah, Nehad Ali ^{[2
]}

Chung, Jae Dong ^{[2
]}

机构：

[1] Univ Wah, Fac Basic Sci, Dept Math, Wah Cantt, Pakistan

[2] Sejong Univ, Dept Mech Engn, Seoul 05006, South Korea

来源：

AIN SHAMS ENGINEERING JOURNAL | 2023年 / 14卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Analytical method; Nonlinear partial differential equation; Hyperbolic and complex analytical solutions; Closed form solutions; SOLITONS;

D O I：

10.1016/j.asej.2022.101883

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The strain wave equation in micro-structured solids, which is significant in solid physics, is offered for consideration in this work. This is accomplished using the modified exp-function method, which is one of the most powerful ways for constructing abundantly distinct, accurate solutions to nonlinear partial differential equations. Wave propagation in microstructured solids is based on the structure of the strain wave equation. As a result, we were able to obtain a variety of new analytical solitary wave solutions like hyperbolic and complex function solutions with free parameters. Additionally, 2D and 3D plots are graphed for each of the solutions found in order to better comprehend their physical interpretation.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams Uni-versity. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/ by-nc-nd/4.0/).

引用

页数：8

共 50 条

[1] Application of the Exp-function method to the equal-width wave equation
Biazar, J.
Ayati, Z.
PHYSICA SCRIPTA, 2008, 78 (04)
[2] DISCUSSION ON EXP-FUNCTION METHOD AND MODIFIED METHOD OF SIMPLEST EQUATION
Dimitrova, Zlatinka I.
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2013, 66 (07): : 975 - 982
[3] Exp-function method for the exact solutions of fifth order KdV equation and modified Burgers equation
Inan, Ibrahim E.
Ugurlu, Yavuz
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1294 - 1299
[4] On the application of the Exp-function method to the KP equation for N-soliton solutions
Aslan, Ismail
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (06) : 2825 - 2828
[5] Application of Exp-function method to Symmetric Regularized Long Wave (SRLW) equation
Xu, Fei
PHYSICS LETTERS A, 2008, 372 (03) : 252 - 257
[6] The Exp-Function Method for the Riccati Equation and Exact Solutions of Dispersive Long Wave Equations
Zhang, Sheng
Wang, Wei
Tong, Jing-Lin
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2008, 63 (10-11): : 663 - 670
[7] Soliton solutions of fractional modified unstable Schrodinger equation using Exp-function method
Zulfiqar, Aniqa
Ahmad, Jamshad
RESULTS IN PHYSICS, 2020, 19
[8] Investigation of Solitary wave solutions for Vakhnenko-Parkes equation via exp-function and Exp(-φ(ξ))-expansion method
Roshid, Harun-Or
Kabir, Md Rashed
Bhowmik, Rajandra Chadra
Datta, Bimal Kumar
SPRINGERPLUS, 2014, 3
[9] Exact Solutions for Nonlinear Wave Equations by the Exp-Function Method
Hu, Mingsheng
Jia, Zhijuan
Chen, Qiaoling
Jia, Suiming
ABSTRACT AND APPLIED ANALYSIS, 2014,
[10] The Exp-function method for Ostrovsky equation
Bekir, Ahmet
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (06) : 735 - 739

← 1 2 3 4 5 →