Solitons in an inhomogeneous Murnaghan's rod

被引：103

作者：

Cattani, Carlo ^{[1
]}

Sulaiman, Tukur Abdulkadir ^{[2
,3
]}

Baskonus, Haci Mehmet ^{[4
]}

Bulut, Hasan ^{[2
,5
]}

机构：

[1] Univ Tuscia, Engn Sch DEIM, I-01100 Viterbo, Italy

[2] Firat Univ, Fac Sci, TR-23119 Elazig, Turkey

[3] Fed Univ Dutse, Fac Sci, Jigawa 23119, Dutse, Nigeria

[4] Munzur Univ, Fac Engn, TR-63100 Tunceli, Turkey

[5] Final Int Univ, Fac Educ, Kyrenia, Cyprus

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2018年 / 133卷 / 06期

关键词：

NONLINEAR SCHRODINGER-EQUATION; VARIATIONAL ITERATION METHOD; TRAVELING-WAVE SOLUTIONS; POWER-LAW NONLINEARITY; OPTICAL SOLITONS; EVOLUTION; BRIGHT; DARK;

D O I：

10.1140/epjp/i2018-12085-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we construct a family of wave solutions to the doubly dispersive equation, such as topological, non-topological, singular, compound topological-non-topological bell-type and compound singular, soliton-like, singular periodic wave and exponential function solutions. These analytical solutions are obtained by using the extended sinh-Gordon equation expansion method and the modified exp(-phi(zeta))-expansion function method. The doubly dispersive equation is an important nonlinear physical model describing the nonlinear wave propagation in the elastic inhomogeneous Murnaghan's rod. Under a suitable choice of parameters, the 2D, 3D and contour graphics to the reported results are also plotted.

引用

页数：11

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