ANALYTICAL AND SEMI-ANALYTICAL WAVE SOLUTIONS FOR LONGITUDINAL WAVE EQUATION VIA MODIFIED AUXILIARY EQUATION METHOD AND ADOMIAN DECOMPOSITION METHOD

被引：27

作者：

Alderemy, Aisha A. ^{[1
]}

Attia, Raghda A. M. ^{[2
]}

Alzaidi, Jameel F. ^{[3
]}

Lu, Dianchen ^{[4
]}

Khater, Mostafa M. A. ^{[4
]}

机构：

[1] King Khalid Univ, Dept Math, Fac Sci, Abha, Saudi Arabia

[2] Higher Technol Inst 10th Ramadan City, Dept Basic Sci, El Sharqia, Egypt

[3] Mahayil Asir King Khalid Univ, Fac Sci & Arts, Dept Math, Abha, Saudi Arabia

[4] Jiangsu Univ, Dept Math, Fac Sci, Zhenjiang, Jiangsu, Peoples R China

来源：

THERMAL SCIENCE | 2019年 / 23卷

关键词：

longitudinal wave equation; modified auxiliary equation method; analytical and semi-analytical wave solutions; adomian decomposition method; FRACTIONAL CAHN-ALLEN; LIE SYMMETRY ANALYSIS; CONSERVATION-LAWS; OPTICAL SOLITONS;

D O I：

10.2298/TSCI190221355A

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This paper studies the analytical and semi-analytical wave solutions for the longitudinal wave equation. Moreover, it examines the performance of the modified auxiliary equation method and Adomian decomposition method on this model. This model describes the dispersion in the circular rod that dispersion caused by the transverse Poisson's effect in electro-magneto-elastic. Many explicit wave solutions are found by using the analytical technique. These solutions allow studying the physical properties of this model. The comparison between the analytical and semi-analytical solutions is discussed to show the value of the absolute error between them.

引用

页码：S1943 / S1957

页数：15

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