Exact solutions of local fractional longitudinal wave equation in a magneto-electro-elastic circular rod in fractal media

被引:20
作者
Ghanbari, Behzad [1 ]
Kumar, Devendra [2 ]
Singh, Jagdev [3 ]
机构
[1] Kermanshah Univ Technol, Dept Basic Sci, Kermanshah, Iran
[2] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India
[3] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India
关键词
Nonlinear wave equation; Magneto-electro-elastic circular rod equation; Local fractional derivative; Generalized exponential rational function method; Exact soliton solutions; PROPAGATION; SOLITONS; MODEL;
D O I
10.1007/s12648-021-02043-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the present study, we apply an analytical scheme to acquire wave solutions of a partial differential equation involving a local fractional derivative. The main idea of this scheme is to generalize the procedure of the well-known generalized exponential rational function technique. To test the method, we have considered the local fractional longitudinal wave equation in a magneto-electro-elastic circular rod (MEECR). The graphical representation of some derived solutions is also shown. The suggested technique is an efficient way to solve such type of differential equations with local fractional derivative. One of the valuable features of the suggested method is the possibility of using it in solving other similar equations with local fractional derivative.
引用
收藏
页码:787 / 794
页数:8
相关论文
共 43 条
[1]  
Ahmad, 2014, ABSTR APPL ANAL, V2014, P100
[2]   Certain new models of the multi space-fractional Gardner equation [J].
Alderremy, A. A. ;
Saad, Khaled M. ;
Agarwal, Praveen ;
Aly, Shaban ;
Jain, Shilpi .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 545
[3]   On the solitary wave solutions to the longitudinal wave equation in MEE circular rod [J].
Bulut, Hasan ;
Sulaiman, Tukur Abdulkadir ;
Baskonus, Haci Mehmet .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (02)
[4]   Wave propagation in magneto-electro-elastic multilayered plates [J].
Chen, Jiangyi ;
Pan, E. ;
Chen, Hualing .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (3-4) :1073-1085
[5]   Propagation of axial shear magneto-electro-elastic waves in piezoelectric-piezomagnetic composites with randomly distributed cylindrical inhomogeneities [J].
Chen, Peng ;
Shen, Yapeng .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (05) :1511-1532
[6]   EXACT TRAVELING-WAVE SOLUTIONS FOR ONE-DIMENSIONAL MODIFIED KORTEWEG-DE VRIES EQUATION DEFINED ON CANTOR SETS [J].
Gao, Feng ;
Yang, Xiao-Jun ;
Ju, Yang .
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2019, 27 (01)
[7]  
Ghanbari B, 2021, MATH METHODS APPL SC, V44
[8]   Exact optical solutions for the regularized long-wave Kadomtsev-Petviashvili equation [J].
Ghanbari, Behzad ;
Gunerhan, Hatira ;
Momani, Shaher .
PHYSICA SCRIPTA, 2020, 95 (10)
[9]  
Ghanbari B, 2020, ADV DIFFER EQU-NY, V2020, DOI [10.1186/s13662-020-02993-3, 10.1186/s13662-020-02890-9, 10.1186/s13662-020-03040-x]
[10]   Abundant new analytical and approximate solutions to the generalized Schamel equation [J].
Ghanbari, Behzad ;
Akgul, Ali .
PHYSICA SCRIPTA, 2020, 95 (07)