Exact solutions of nonlinear wave equations using (G′/G,1/G)-expansion method

作者: Seçil Demiray , Ömer Ünsal , Ahmet Bekir

DOI: 10.1016/J.JOEMS.2014.02.011

关键词:

摘要: Abstract In this paper, the ( G ′ / , 1 ) -expansion method with aid of Maple is used to obtain new exact travelling wave solutions Hamiltonian amplitude equation and Broer–Kaup equations arise in analysis various problems fluid mechanics, theoretical physics. The are expressed by hyperbolic functions, trigonometric functions rational functions. demonstrates power, reliability efficiency. also presents a wider applicability for handling nonlinear equations.

参考文章(47)
Mingliang Wang, SOLITARY WAVE SOLUTIONS FOR VARIANT BOUSSINESQ EQUATIONS Physics Letters A. ,vol. 199, pp. 169- 172 ,(1995) , 10.1016/0375-9601(95)00092-H
Yanan Xu, Zlatko Jovanoski, Abdelaziz Bouasla, Houria Triki, Luminita Moraru, Anjan Biswas, None, OPTICAL SOLITONS IN MULTI-DIMENSIONS WITH SPATIO-TEMPORAL DISPERSION AND NON-KERR LAW NONLINEARITY Journal of Nonlinear Optical Physics & Materials. ,vol. 22, pp. 1350035- ,(2013) , 10.1142/S0218863513500355
Ji-Huan He, Xu-Hong Wu, Exp-function method for nonlinear wave equations Chaos, Solitons & Fractals. ,vol. 30, pp. 700- 708 ,(2006) , 10.1016/J.CHAOS.2006.03.020
D. J. Kaup, A Higher-Order Water-Wave Equation and the Method for Solving It Progress of Theoretical Physics. ,vol. 54, pp. 396- 408 ,(1975) , 10.1143/PTP.54.396
Ahmet Yildirim, Ameneh Samiei Samiei Paghaleh, Mohammad Mirzazadeh, Hossein Moosaei, Anjan Biswas, None, New exact traveling wave solutions for DS-I and DS-II equations Nonlinear Analysis-Modelling and Control. ,vol. 17, pp. 369- 378 ,(2012) , 10.15388/NA.17.3.14062
Michelle Savescu, Kaisar R. Khan, Russell W. Kohl, Luminita Moraru, Ahmet Yildirim, Anjan Biswas, Optical Soliton Perturbation with Improved Nonlinear Schrödinger's Equation in Nano Fibers Journal of Nanoelectronics and Optoelectronics. ,vol. 8, pp. 208- 220 ,(2013) , 10.1166/JNO.2013.1459
Michelle Savescu, Kaisar R. Khan, Preeti Naruka, Hossein Jafari, Luminita Moraru, Anjan Biswas, Optical Solitons in Photonic Nano Waveguides with an Improved Nonlinear Schrödinger's Equation Journal of Computational and Theoretical Nanoscience. ,vol. 10, pp. 1182- 1191 ,(2013) , 10.1166/JCTN.2013.2826
George W. Bluman, Sukeyuki Kumei, Symmetries and differential equations ,(1989)