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
相关论文
共 50 条
  • [1] Soliton Solutions of Mathematical Physics Models Using the Exponential Function Technique
    Javeed, Shumaila
    Alimgeer, Khurram Saleem
    Nawaz, Sidra
    Waheed, Asif
    Suleman, Muhammad
    Baleanu, Dumitru
    Atif, M.
    SYMMETRY-BASEL, 2020, 12 (01):
  • [2] Multiple soliton solutions for the variant Boussinesq equations
    Guo, Peng
    Wu, Xiang
    Wang, Liang-bi
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [3] New Soliton and Periodic Solutions for Two Nonlinear Physical Models
    Chun, Changbum
    Sakthivel, Rathinasamy
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (12): : 1049 - 1054
  • [4] Solitonic solutions of two variants of nonlinear Schrodinger model by using exponential function method
    Ahmad, Jamshad
    Mustafa, Zulaikha
    Shafqat-Ur-Rehman
    Zulfiqar, Aniqa
    OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (07)
  • [5] Controlling optical soliton solutions for higher order Boussinesq equation using bilinear form
    Rizvi, Syed T. R.
    Seadawy, Aly R.
    Farah, Nighat
    Ahmad, Sarfraz
    OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (10)
  • [6] The approximate solutions of nonlinear Boussinesq equation
    Lu, Dianhen
    Shen, Jie
    Cheng, Yueling
    4TH INTERNATIONAL CONFERENCE ON SCIENCE & ENGINEERING IN MATHEMATICS, CHEMISTRY AND PHYSICS 2016 (SCIETECH 2016), 2016, 710
  • [7] New periodic and soliton solutions by application of Exp-function method for nonlinear evolution equations
    Borhanifar, A.
    Kabir, M. M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 229 (01) : 158 - 167
  • [8] Topological soliton solutions to the coupled Schrodinger-Boussinesq equation by the SEM
    Neirameh, A.
    OPTIK, 2015, 126 (23): : 4179 - 4183
  • [9] The novel soliton solutions for the conformable perturbed nonlinear Schrodinger equation
    Yepez-Martinez, Huitzilin
    Pashrashid, Arash
    Francisco Gomez-Aguilar, Jose
    Akinyemi, Lanre
    Rezazadeh, Hadi
    MODERN PHYSICS LETTERS B, 2022, 36 (08):