Investigation of some nonlinear physical models: exact and approximate solutions

被引：4

作者：

Atas, Sibel S. S. ^{[1
]}

Ismael, Hajar F. F. ^{[2
]}

Sulaiman, Tukur Abdulkadir ^{[3
,4
]}

Bulut, Hasan ^{[5
]}

机构：

[1] Istanbul Sabahattin Zaim Univ, Fac Business & Management Sci, Dept Islamic Econ & Finance, Istanbul, Turkiye

[2] Univ Zakho, Fac Sci, Dept Math, Zakho, Iraq

[3] Biruni Univ, Dept Comp Engn, Istanbul, Turkiye

[4] Firat Univ, Fac Sci, Dept Math, Elazig, Turkiye

[5] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2023年 / 55卷 / 04期

关键词：

Nonlinear physical models; (m + (1)/(G') )-expansion method; Adomian Gdecomposition method; Travelling wave solutions; TRAVELING-WAVE SOLUTIONS; EXTENDED TANH-METHOD; BURGERS-FISHER; EQUATION;

D O I：

10.1007/s11082-022-04494-x

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We use the (m + (1)/(G ') )-expansion method in reaching the exact solution of the (3+1)-dimenG sional B-type Kadomtsev-Petviashvili-Boussinesq, Newel-Whitehead-Segel, and Zeldovich equations. New solutions in form of the kink, complex and singular solutions are reported. On the other hand, the Adomian decomposition method is employed to find approximate solutions to the the (3+1)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation. The three-dimensional figures and their corresponding contour plots for the reported solutions are drawn. Also, a table is presented for the approximate solutions. The reported results may be useful in studying physical features of various nonlinear mathematical models.

引用

页数：16

共 50 条

[1] Investigation of some nonlinear physical models: exact and approximate solutions
Sibel S. Atas
Hajar F. Ismael
Tukur Abdulkadir Sulaiman
Hasan Bulut
Optical and Quantum Electronics, 2023, 55
[2] Exact soliton solutions of some nonlinear physical models
Lu, HJ
Wang, MX
PHYSICS LETTERS A, 1999, 255 (4-6) : 249 - 252
[3] Exact and numerical soliton solutions of some nonlinear physical models
Kaya, D
APPLIED MATHEMATICS AND COMPUTATION, 2004, 152 (02) : 551 - 560
[4] Exact travelling wave solutions for some important nonlinear physical models
JONU LEE
RATHINASAMY SAKTHIVEL
Pramana, 2013, 80 : 757 - 769
[5] Exact travelling wave solutions for some important nonlinear physical models
Lee, Jonu
Sakthivel, Rathinasamy
PRAMANA-JOURNAL OF PHYSICS, 2013, 80 (05): : 757 - 769
[6] Exact travelling solutions for some nonlinear physical models by (G′/G)-expansion method
Bahrami, B. Salim
Abdollahzadeh, H.
Berijani, I. M.
Ganji, D. D.
Abdollahzadeh, M.
PRAMANA-JOURNAL OF PHYSICS, 2011, 77 (02): : 263 - 275
[7] New Exact Solutions of Two Nonlinear Physical Models
Hassan, M. M.
COMMUNICATIONS IN THEORETICAL PHYSICS, 2010, 53 (04) : 596 - 604
[8] Exact travelling solutions for some nonlinear physical models by ( G′/ G)-expansion method
B SALIM BAHRAMI
H ABDOLLAHZADEH
I M BERIJANI
D D GANJI
M ABDOLLAHZADEH
Pramana, 2011, 77 : 263 - 275
[9] New Exact Solutions of Two Nonlinear Physical Models
M.M.Hassan
Communications in Theoretical Physics, 2010, 53 (04) : 596 - 604
[10] On the exact solutions to some system of complex nonlinear models
Sulaiman, Tukur Abdulkadir
Bulut, Hasan
Baskonus, Haci Mehmet
APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2021, 6 (01) : 29 - 42

← 1 2 3 4 5 →