SOLUTION OF THE (2+1) DIMENSIONAL BREAKING SOLITON EQUATION BY USING TWO DIFFERENT METHODS

[1] Arbabi, Somayeh, Mohammad Najafi, “Soliton Solutions of Nonlinear Evolution
Equations in Mathematical Physics.”Optik-International Journal for Light and Electron
Optics 127.10 (2016): 4270-4274.
[2] Calogero, F., A. Degasperis, “Nonlinear Evolution Equations Solvable by The Inverse
Spectral Transform. - I.” Il Nuovo Cimento B (1971-1996) 32.2 (1976): 201-242.
[3] Calogero, F., A. Degasperis, “Nonlinear Evolution Equations Solvable by The Inverse
Spectral Transform. - II.” Il Nuovo Cimento B (1971-1996) 39.1 (1977): 1-54.
[4] Tian, Bo, Keyi Zhao, Yi-Tian Gao, “Symbolic Computation in Engineering: Application
to A Breaking Soliton Equation.” International journal of engineering science 35.10-11
(1997): 1081-1083.
[5] Yan, Zhen-Ya, Hong-Qing Zhang, “Constructing Families of Soliton-Like Solutions to A
(2+ 1)-Dimensional Breaking Soliton Equation Using Symbolic Computation.”
Computers & Mathematics with Applications 44.10 (2002): 1439-1444.
[6] Geng, Xianguo, Cewen Cao, “Explicit Solutions of The 2+ 1-Dimensional Breaking
Soliton Equation.” Chaos, Solitons & Fractals 22.3 (2004): 683-691.
[7] Mei, Jian-qin, Hong-qing Zhang, “New types of exact solutions for a breaking soliton
equation.” Chaos, Solitons & Fractals 20.4 (2004): 771-777.
18
[8] Zhang, Sheng, “New Exact Non-Traveling Wave and Coefficient Function Solutions of
The (2+ 1)-Dimensional Breaking Soliton Equations.” Physics Letters A 368.6 (2007):
470-475.
[9] Zhang, Sheng, “A Generalized New Auxiliary Equation Method and Its Application to
The (2+ 1)-Dimensional Breaking Soliton Equations.” Applied mathematics and
computation 190.1 (2007): 510-516.
[10] Ma, Song-Hua, Jian-Ping Fang, Chun-Long Zheng, “New Exact Solutions of The (2+ 1)-
Dimensional Breaking Soliton System Via An Extended Mapping Method.” Chaos,
Solitons & Fractals 40.1 (2009): 210-214.
[11] Tao, Zhao-Ling, “Solving the Breaking Soliton Equation By He’s Variational
Method.”Computers & Mathematics with Applications 58.11 (2009): 2395-2397.
[12] Da-Quan, Xian, “Symmetry Reduction and New Non-Traveling Wave Solutions Of (2+
1)-Dimensional Breaking Soliton Equation.” Communications in Nonlinear Science and
Numerical Simulation 15.8 (2010): 2061-2065.
[13] Zhao, Zhanhui, Zhengde Dai, Gui Mu, “The Breather-Type and Periodic-Type Soliton
Solutions for the (2+ 1)-Dimensional Breaking Soliton Equation.” Computers &
Mathematics with Applications 61.8 (2011): 2048-2052.
[14] Yıldız, Guldem, Durmus Daghan, “Solution of the (2+ 1) Dimensional Breaking Soliton
Equation by Using Two Different Methods.” 11-16.
[15] Zayed, Elsayed, Mahmoud Abdelaziz, Mushrifa Elmalky, “Enhanced (G'/G)-Expansion
Method and Applications to the (2+ 1) D Typical Breaking Soliton and Burgers
Equations.” Journal of Advanced Mathematical Studies 4.2 (2011): 109-123.
[16] M.T. Darvishi, M. Najafi, “Some Exact Solutions of the (2 + 1)-Dimensional Break-Ing
Soliton Equation Using The Three-Wave Method”, World Acad. Sci. Eng.Technol., 2011,
55, 919–922.
[17] Darvishi, Mohammad. Taghi, Mohammad Najafi, “Some Exact Solutions of the (2+ 1)-
Dimensional Breaking Soliton Equation Using The Three-Wave Method.” International
Journal of Computational and Mathematical Sciences 6.1 (2012): 13-16.
[18] Xu, Gui-qiong, “Integrability of A (2+ 1)-Dimensional Generalized Breaking Soliton
Equation.” Applied Mathematics Letters 50 (2015): 16-22.
[19] He, Ji-Huan, “Homotopy Perturbation Technique.”Computer methods in applied
mechanics and engineering 178.3 (1999): 257-262.
[20] He, Ji-Huan, “A Coupling Method of a Homotopy Technique and A Perturbation
Technique for Non-Linear Problems.” International journal of non-linear mechanics 35.1
(2000): 37-43.
[21] He, Ji-Huan, “Homotopy perturbation method for Bifurcation of Nonlinear Problems.”
International Journal of Nonlinear Sciences and Numerical Simulation 6.2 (2005): 207-
208.
[22] El-Shahed, Moustafa, “Application of He’s Homotopy perturbation method to Volterra’s
Integro-Differential Equation.” International Journal of Nonlinear Sciences and
Numerical Simulation 6.2 (2005): 163-168.