Some new analytical solutions of the variant Boussinesq equations

被引:3
作者
Manafian, Jalil [1 ]
Jalali, Jalal [2 ]
Alizadehdiz, Alireza [2 ]
机构
[1] Islamic Azad Univ, Ilkhchi Branch, Young Researchers & Elite Club, Ilkhchi, Iran
[2] Islamic Azad Univ, Ahar Branch, Young Researchers & Elite Club, Ahar, Iran
关键词
Improved tanho(phi(xi)/2)-expansion method; Improved (G'/G); expansion method; Variant Boussinesq equations; Soliton wave solution; OPTICAL SOLITON-SOLUTIONS; BISWAS-MILOVIC EQUATION; MODEL;
D O I
10.1007/s11082-018-1345-z
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this manuscript, the exact analytical solutions for the variant Boussinesq equations are constructed by utilizing the improved tanho(phi(xi)/2)-expansion method (ITEM) and the improved (G/G')-expansion method (IGEM). Using wave transformation, we converted the problem under consideration to an ordinary differential equation and then employed the ITEM and IGEM for hyperbolic function, trigonometric function and rational function solutions. The Mathematica software is used throughout for the solution of the system of algebraic equations obtained along the way and also for the graphical illustrations, respectively.
引用
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页数:26
相关论文
共 33 条
[1]   Shock wave development in couple stress fluid-filled thin elastic tubes [J].
Adesanya, Samuel O. ;
Eslami, Mostafa ;
Mirzazadeh, Mohammad ;
Biswas, Anjan .
EUROPEAN PHYSICAL JOURNAL PLUS, 2015, 130 (06)
[2]  
Aghdaei M. F., 2016, OPT QUANT ELECTRON, V48, P1
[3]  
[Anonymous], 2016, MATH METHODS APPL SC
[4]  
[Anonymous], OPTICAL QUANTUM ELEC
[5]   New Complex and Hyperbolic Function Solutions to the Generalized Double Combined Sinh-Cosh-Gordon Equation [J].
Baskonus, Haci Mehmet .
ICNPAA 2016 WORLD CONGRESS: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES, 2017, 1798
[6]   New acoustic wave behaviors to the Davey-Stewartson equation with power-law nonlinearity arising in fluid dynamics [J].
Baskonus, Haci Mehmet .
NONLINEAR DYNAMICS, 2016, 86 (01) :177-183
[7]   Exponential prototype structures for (2+1)-dimensional Boiti-Leon-Pempinelli systems in mathematical physics [J].
Baskonus, Haci Mehmet ;
Bulut, Hasan .
WAVES IN RANDOM AND COMPLEX MEDIA, 2016, 26 (02) :189-196
[8]  
Boussinesq JV., 1871, COMPT REND LACAD SCI, V72, P755
[9]   Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to (1+1)-dimensional dispersive long wave equation [J].
Chen, Y ;
Wang, Q .
CHAOS SOLITONS & FRACTALS, 2005, 24 (03) :745-757
[10]   Application of the Exp-function method for solving a partial differential equation arising in biology and population genetics [J].
Dehghan, Mehdi ;
Hens, Jalil Manafian ;
Saadatmandi, Abbas .
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2011, 21 (6-7) :736-753