New soliton solutions of Simplified Modified Camassa Holm equation, Klein-Gordon-Zakharov equation using First Integral Method and Exponential Function Method

被引：10

作者：

Javeed, Shumaila ^{[1
]}

Abbasi, Muhammad Awais ^{[1
]}

Imran, Tayyab ^{[1
]}

Fayyaz, Rabia ^{[1
]}

Ahmad, Hijaz ^{[2
,3
]}

Botmart, Thongchai ^{[4
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Islamabad campus,Pk Rd, Chak Shahzad Islamabad, Pakistan

[2] Al Ayen Univ, Sci Res Ctr, Math Appl Sci & Engn Res Grp, Nasiriyah 64001, Iraq

[3] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele 2,39, I-00186 Rome, Italy

[4] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

来源：

RESULTS IN PHYSICS | 2022年 / 38卷

关键词：

First Integral Method; Exponential Function Method; Simplified Modified Camassa-Holm equation; The Klein-Gordon-Zakharov equation; EXP-FUNCTION METHOD; TRAVELING-WAVE SOLUTIONS; NONLINEAR SCHRODINGER-EQUATION; PARTIAL-DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; OPTICAL SOLITONS; APPROXIMATE;

D O I：

10.1016/j.rinp.2022.105506

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, new soliton solutions of Simplified Modified Camassa-Holm (SMCH) equation and Klein- Gordon-Zakharov (KGZ) equation are acquired. First Integral Method (FIM) and Exponential Function Method (EFM) are employed to construct the soliton solutions of SMCH equation and KGZ equation. The solution by these approaches can be obtained by utilizing symbolic computational softwares like Maple and Mathematica. The results suggest that the EFM and FIM are effective and useful techniques to handle non-linear problems.

引用

页数：8

共 37 条

[1] Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations [J].

Ahmad, Hijaz ;

Seadawy, Aly R. ;

Khan, Tufail A. ;

Thounthong, Phatiphat .

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2020, 14 (01) :346-358

[2] Haar wavelet method for solution of variable order linear fractional integro-differential equations [J].

Amin, Rohul ;

Shah, Kamal ;

Ahmad, Hijaz ;

Ganie, Abdul Hamid ;

Abdel-Aty, Abdel-Haleem ;

Botmart, Thongchai .

AIMS MATHEMATICS, 2022, 7 (04) :5431-5443

[3] The Solution of the Linear Fractional Partial Differential Equations Using the Homotopy Analysis Method [J].

Dehghan, Mehdi ;

Manafian, Jalil ;

Saadatmandi, Abbas .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (11) :935-949

[4] The Solution of the Variable Coefficients Fourth-Order Parabolic Partial Differential Equations by the Homotopy Perturbation Method [J].

Dehghan, Mehdi ;

Manafian, Jalil .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (7-8) :420-430

[5] The first integral method to the two-dimensional Burgers-Korteweg-de Vries equation [J].

Feng, ZS ;

Wang, XH .

PHYSICS LETTERS A, 2003, 308 (2-3) :173-178

[6] The first-integral method to study the Burgers-Korteweg-de Vries equation [J].

Feng, ZS .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (02) :343-349

[7] ON DIFFERENT KINDS OF SOLUTIONS TO SIMPLIFIED MODIFIED FORM OF A CAMASSA-HOLM EQUATION [J].

Gundogdu, Hami ;

Gozukizil, Omer Faruk .

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2019, 18 (02) :31-40

[8] New exact traveling wave solutions to the (1+1)-dimensional Klein-Gordon-Zakharov equation for wave propagation in plasma using the exp(-Phi(xi))-expansion method [J].

Hafez, M. G. ;

Akbar, M. A. .

PROPULSION AND POWER RESEARCH, 2015, 4 (01) :31-39

[9]

He JH, 2006, dissertation

[10] Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method [J].

He, Ji-Huan ;

Zhang, Li-Na .

PHYSICS LETTERS A, 2008, 372 (07) :1044-1047

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