Extraction Complex Properties of the Nonlinear Modified Alpha Equation

被引:2
作者
Baskonus, Haci Mehmet [1 ]
Ercan, Muzaffer [2 ]
机构
[1] Harran Univ, Fac Educ, Dept Math & Sci Educ, TR-63510 Sanliurfa, Turkey
[2] Harran Univ, Fac Arts & Sci, TR-63510 Sanliurfa, Turkey
关键词
modified alpha equation; Bernoulli sub-equation function method; rational function solution; complex solution; contour surface;
D O I
10.3390/fractalfract5010006
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper applies one of the special cases of auxiliary method, which is named as the Bernoulli sub-equation function method, to the nonlinear modified alpha equation. The characteristic properties of these solutions, such as complex and soliton solutions, are extracted. Moreover, the strain conditions of solutions are also reported in detail. Observing the figures plotted by considering various values of parameters of these solutions confirms the effectiveness of the approximation method used for the governing model.
引用
收藏
页码:1 / 15
页数:15
相关论文
共 50 条
[1]   Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense [J].
Abu Arqub, Omar ;
Maayah, Banan .
CHAOS SOLITONS & FRACTALS, 2019, 125 :163-170
[2]   On the complex structures of Kundu-Eckhaus equation via improved Bernoulli sub-equation function method [J].
Baskonus, Haci Mehmet ;
Bulut, Hasan .
WAVES IN RANDOM AND COMPLEX MEDIA, 2015, 25 (04) :720-728
[3]  
Baskonus HM., 2019, APPL SCI, V21, P34
[4]   An operational matrix based scheme for numerical solutions of nonlinear weakly singular partial integro-differential equations [J].
Behera, S. ;
Ray, S. Saha .
APPLIED MATHEMATICS AND COMPUTATION, 2020, 367
[5]   Analysis of fractional Klein-Gordon-Zakharov equations using efficient method [J].
Benli, Fatma Berna .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2022, 38 (03) :525-539
[6]   Perturbed resonant 1-soliton solution with anti-cubic nonlinearity by Riccati-Bernoulli sub-ODE method [J].
Biswas, Anjan ;
Mirzazadeh, Mohammad ;
Triki, Houria ;
Zhou, Qin ;
Ullah, Malik Zaka ;
Moshokoa, Seithuti P. ;
Belic, Milivoj .
OPTIK, 2018, 156 :346-350
[7]   Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations [J].
Cao, Bintao .
ACTA APPLICANDAE MATHEMATICAE, 2010, 112 (02) :181-203
[8]   On the soliton solutions to the Nizhnik-Novikov-Veselov and the Drinfel'd-Sokolov systems [J].
Cattani, Carlo ;
Sulaiman, Tukur Abdulkadir ;
Baskonus, Haci Mehmet ;
Bulut, Hasan .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (03)
[9]   Elliptic General Analytic Solutions [J].
Conte, R. ;
Musette, M. .
STUDIES IN APPLIED MATHEMATICS, 2009, 123 (01) :63-81
[10]   Meromorphic solutions of a third order nonlinear differential equation [J].
Conte, Robert ;
Ng, Tuen-Wai .
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (03)