Applications of nonlinear longitudinal wave equation in a magneto-electro-elastic circular rod and new solitary wave solutions

被引：111

作者：

Iqbal, Mujahid ^{[1
]}

Seadawy, Aly R. ^{[2
,3
]}

Lu, Dianchen ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

[2] Taibah Univ, Fac Sci, Math Dept, Al Madinah Al Munawarah, Saudi Arabia

[3] Beni Suef Univ, Fac Sci, Math Dept, Bani Suwayf, Egypt

来源：

MODERN PHYSICS LETTERS B | 2019年 / 33卷 / 18期

关键词：

Mathematical methods; longitudinal wave equation in an MEE circular rod; solitary wave solutions; electrostatic potential and pressure; KUZNETSOV-BURGERS EQUATION; SCHRODINGER-EQUATION; HIGHER-ORDER; DYNAMICAL EQUATION; STABILITY ANALYSIS; BRIGHT; DARK; PROPAGATION; SOLITONS; KAUP;

D O I：

10.1142/S0217984919502105

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this work, we consider the nonlinear longitudinal wave equation (LWE) which involves mathematical physics with dispersal produced by the phenomena of transverse Poisson's effect in a magneto-electro-elastic (MEE) circular rod. We use the extended form of two methods, auxiliary equation mapping and direct algebraic method to investigated the families of solitary wave solutions of one-dimensional nonlinear LWE. These new exact and solitary wave solutions are derived in the form of trigonometric function, periodic solitary wave, rational function, and elliptic function, hyperbolic function, bright and dark solitons solutions of the LWE, which represent the electrostatic potential and pressure for LWE and also the graphical representation of electrostatic potential and pressure are shown with the aid of Mathematica program.

引用

页数：17

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