New solitary and optical wave structures to the (1+1)-dimensional combined KdV-mKdV equation

被引：49

作者：

Bulut, Hasan ^{[1
]}

Sulaiman, Tukur A. ^{[1
]}

Baskonus, Haci Mehmet ^{[2
]}

Sandulyak, Anna A. ^{[3
]}

机构：

[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

[2] Munzur Univ, Dept Comp Engn, TR-63100 Tunceli, Turkey

[3] Moscow Technol Univ, 20 Stromynka, Moscow 107996, Russia

来源：

OPTIK | 2017年 / 135卷

关键词：

The sine-Gordon expansion method; The (1+1)-dimensional combined; KdV-mKdV equation; Complex; Hyperbolic; Trigonometric; Rational and optical function structures; SYSTEM;

D O I：

10.1016/j.ijleo.2017.01.071

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this article, we employ the sine-Gordon expansion method to construct a new solitary and optical wave structures to the (1+1)-dimensional combined KdV-mKdV equation. Sine-Gordon expansion method is developed based on the travelling wave transformation u(x, y)= U(xi), xi= mu(x - ct) and the sine-Gordon equation u(xx) - u(tt) =m(2) sin(u). We find the travelling wave solutions to (1 +1)-dimensional combined KdV-mKdV equation in the form of complex, hyperbolic, trigonometric and rational function. Our results show that all the travelling wave solutions we obtain are solitary and optical wave structures solutions. All the computations and graphics plot in this article are carried out with the help of Wolfram Mathematica 9. (C) 2017 Elsevier GmbH. All rights reserved.

引用

页码：327 / 336

页数：10

共 31 条

[1]

Aghdaei MF, 2011, J MATH EXT, V5, P91

[2]

Alam MN., 2015, J. Assoc. Arab Univ. Basic Appl. Sci, V17, P6

[3]

[Anonymous], 2015, J APPL MATH PHYS ZAM

[4]

[Anonymous], 2015, Math. Lett