EXACT SOLUTIONS OF THE CUBIC BOUSSINESQ AND THE COUPLED HIGGS SYSTEM

被引：22

作者：

Abdelrahman, Mahmoud A. E. ^{[1
,2
]}

Alkhidhr, Hanan A. ^{[3
]}

Baleanu, Dumitru ^{[4
,5
,6
]}

Inc, Mustafa ^{[7
]}

机构：

[1] Taibah Univ, Dept Math, Al Madinah Al Munawarah, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt

[3] Qassim Univ, Dept Math, Buraydah, Saudi Arabia

[4] Cankaya Univ, Dept Math, Ankara, Turkey

[5] Inst Space Sci, Bucharest, Romania

[6] China Med Univ, Dept Med Res, Taichung, Taiwan

[7] Firat Univ, Dept Math, Elazig, Turkey

来源：

THERMAL SCIENCE | 2020年 / 24卷 / 01期

关键词：

unified solver; solitons; elliptic functions; exact solutions; physical applications; TRAVELING-WAVE SOLUTIONS; TANH METHOD; EQUATION;

D O I：

10.2298/TSCI20S1333A

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

We present explicit exact solutions of some evolution equations including cubic Boussinesq and coupled Higgs system by the unified method. The explicit solutions are expressed in terms of some elementary functions including trigonometric, exponential, and polynomial. The method is applied to a number of special test problems to test the strength of the method and computational results indicate the power and efficiency of the method.

引用

页码：S333 / S342

页数：10

共 34 条

[1] On the new wave solutions to the MCH equation [J].

Abdelrahman, M. A. E. ;

Sohaly, M. A. .

INDIAN JOURNAL OF PHYSICS, 2019, 93 (07) :903-911

[2] A note on Riccati-Bernoulli Sub-ODE method combined with complex transform method applied to fractional differential equations [J].

Abdelrahman M.A.E. .

Nonlinear Engineering, 2018, 7 (04) :279-285

[3]

Abdelrahman MAE, 2020, PHYS SCRIPTA, V95

[4] The coupled nonlinear Schrodinger-type equations [J].

Abdelrahman, Mahmoud A. E. ;

Hassan, S. Z. ;

Inc, Mustafa .

MODERN PHYSICS LETTERS B, 2020, 34 (06)

[5] The development of the deterministic nonlinear PDEs in particle physics to stochastic case [J].

Abdelrahman, Mahmoud A. E. ;

Sohaly, M. A. .

RESULTS IN PHYSICS, 2018, 9 :344-350

[6] Solitary waves for the nonlinear Schrodinger problem with the probability distribution function in the stochastic input case [J].

Abdelrahman, Mahmoud A. E. ;

Sohaly, M. A. .

EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (08)

[7] The ultra-relativistic Euler equations [J].

Abdelrahman, Mahmoud A. E. ;

Kunik, Matthias .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (07) :1247-1264

[8]

AKBARIMOGHANJOUGHI, 2017, PHYS PLASMAS, V24

[9] Exact Solutions for Nonlinear Partial Differential Equations via Exp-Function Method [J].

Aminikhah, Hossein ;

Moosaei, Hossein ;

Hajipour, Mojtaba .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (06) :1427-1433

[10] New wave behaviors of the system of equations for the ion sound and Langmuir Waves [J].

Baskonus, Haci Mehmet ;

Bulut, Hasan .

WAVES IN RANDOM AND COMPLEX MEDIA, 2016, 26 (04) :613-625

← 1 2 3 4 →