Exact solutions of (2

被引：21

作者：

Durur, Hulya ^{[1
]}

Yokus, Asif ^{[2
]}

机构：

[1] Ardahan Univ, Fac Engn, Dept Comp Engn, TR-75000 Ardahan, Turkey

[2] Firat Univ, Fac Sci, Dept Actuary, TR-23100 Elazig, Turkey

来源：

APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2021年 / 6卷 / 02期

关键词：

(1/G ')-expansion method; hyperbolic traveling wave solution; singular soliton wave; analytical solution; TRAVELING-WAVE SOLUTIONS; ZAKHAROV-KUZNETSOV EQUATION; DECOMPOSITION METHOD; SOLITONS; COMPLEX;

D O I：

10.2478/AMNS.2020.2.00074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the present study is to obtain different types of hyperbolic type solutions of the (2+1)-Ablowitz-Kaup-Newell-Segur (AKNS) equation. In order to construction exact solutions of AKNS equation, (1/G') expansion method is successfully applied. At the end of this application, singular soliton wave with considerable importance for the shock wave structure and asymptotic behavior employees have emerged. By giving arbitrary values to the constants in the solutions obtained, 3D, 2D and contour graphics are presented. The method used in this article can be used in other nonlinear differential equations (NPDEs) as it is reliable, easy and effective. Ready package programs are used to solve complex and difficult processes in this study.

引用

页码：381 / 386

页数：6

共 52 条

[1] Ahmad H., 2020, EARTHLINE J MATH SCI, V3, P229
[2] Aldashev S, 2012, MATH PROBL ENG, V2012
[3] Attia RA., 2018, Phys. J, V1, P234
[4] New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method
Baskonus, Haci Mehmet
Bulut, Hasan
Sulaiman, Tukur Abdulkadir
[J]. APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2019, 4 (01) : 129 - 138
[5] Traveling-wave solutions of the Schwarz-Korteweg-de Vries equation in 2+1 dimensions and the Ablowitz-Kaup-Newell-Segur equation through symmetry reductions
Bruzón, MS
Gandarias, ML
Muriel, C
Ramírez, J
Romero, FR
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2003, 137 (01) : 1378 - 1389
[6] Cubically nonlinear elastic waves: Wave equations and methods of analysis
Cattani, C
Rushchitskii, YY
[J]. INTERNATIONAL APPLIED MECHANICS, 2003, 39 (10) : 1115 - 1145
[7] Cattani C, 2003, INT J FLUID MECH RES, V30
[8] Traveling wave solutions of a (2+1)-dimensional Zakharov-like equation by the first integral method and the tanh method
Darvishi, M. T.
Arbabi, S.
Najafi, M.
Wazwaz, A. M.
[J]. OPTIK, 2016, 127 (16): : 6312 - 6321
[9] Durur H, 2019, INT J ENG MATH PHYS
[10] Durur H., 2019, Erzincan Univ. J. Sci. Technol, V12, P807

← 1 2 3 4 5 6 →