Soliton solutions of nonlinear Boussinesq models using the exponential function technique

被引:11
作者
Javeed, Shumaila [1 ]
Baleanu, Dumitru [2 ,3 ]
Nawaz, Sidra [1 ]
Rezazadeh, Hadi [4 ]
机构
[1] COMSATS Univ Islamabad, Dept Math, Pk Rd, Chak Shahzad Islamabad, Pakistan
[2] Cankaya Univ, Dept Math, Ankara, Turkey
[3] Inst Space Sci, Magurele, Romania
[4] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran
关键词
nonlinear Boussinesq equations; conformable derivative; exponential Function Technique; analytical Solutions; FRACTIONAL DIFFERENTIAL-EQUATIONS; EXP-FUNCTION METHOD; DERIVATION; SYSTEM;
D O I
10.1088/1402-4896/ac0e01
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper deals with the new analytical solutions of conformable nonlinear Boussinesq equations. Boussinesq equation is one of the important equation in the field of applied mathematics and engineering, particularly in optical fibers, plasma physics, fluid dynamics, signal processing, and shallow water etc. The focus of this paper is to obtain the new explicit solutions of conformable Boussinesq equations. Exponential function technique is employed to solve the considered models. The conformable properties are utilized to obtain new analytical solutions for this type of nonlinear Boussinesq equations. The new analytical solutions are acquired especially for the space-time boussinesq equation. The results are shown graphically. The obtained solutions can be useful for engineers and physicists to further analyze the phenomena. The implemented technique is valuable for finding new analytical solutions of nonlinear partial differential equations (PDEs).
引用
收藏
页数:11
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