Modified extended tanh-function method and its applications to the Bogoyavlenskii equation

作者: Emad H.M. Zahran , Mostafa M.A. Khater

DOI: 10.1016/J.APM.2015.08.018

关键词:

摘要: … In this study, we consider exact traveling wave solutions of the Bogoyavlenskii equation using a modified extended tanh-function method. This method has a broad applicability to …

参考文章(38)
Mostafa M.A. Khater, The Modied Simple Equation Method and its Applications in Mathematical Physics and Biology Global Journal of Science Frontier Research. ,vol. 15, ,(2015)
Abdul-Majid Wazwaz, The extended tanh method for abundant solitary wave solutions of nonlinear wave equations Applied Mathematics and Computation. ,vol. 187, pp. 1131- 1142 ,(2007) , 10.1016/J.AMC.2006.09.013
O I Bogoyavlenskii, Breaking solitons in 2+1-dimensional integrable equations Russian Mathematical Surveys. ,vol. 45, pp. 1- 86 ,(1990) , 10.1070/RM1990V045N04ABEH002377
Abdul-Majid Wazwaz, The tanh method for traveling wave solutions of nonlinear equations Applied Mathematics and Computation. ,vol. 154, pp. 713- 723 ,(2004) , 10.1016/S0096-3003(03)00745-8
Yan-Ze Peng, Ming Shen, On exact solutions of the Bogoyavlenskii equation Pramana. ,vol. 67, pp. 449- 456 ,(2006) , 10.1007/S12043-006-0005-1
Engui Fan, Hongqing Zhang, A note on the homogeneous balance method Physics Letters A. ,vol. 246, pp. 403- 406 ,(1998) , 10.1016/S0375-9601(98)00547-7
Abdul-Majid Wazwaz, The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations Applied Mathematics and Computation. ,vol. 184, pp. 1002- 1014 ,(2007) , 10.1016/J.AMC.2006.07.002
Hossein Aminikhah, Hossein Moosaei, Mojtaba Hajipour, Exact solutions for nonlinear partial differential equations via Exp‐function method Numerical Methods for Partial Differential Equations. ,vol. 26, pp. 1427- 1433 ,(2009) , 10.1002/NUM.20497