Solitons and periodic solutions to nonlinear partial differential equations by the sine-cosine method

Applied Mathematics and Information Sciences

Volumn 6, Issue 1, 2012, Pages 85-88

  Alquran, Marwan T ^a  

^a JORDAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Jordan)

Author keywords

Nonlinear PDEs; Sine cosine method; Wave variables

Indexed keywords

EID: 84856899181     PISSN: 19350090     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. K. R. Raslan, The Application of He's Exp-function Method for MKdV and Burgers' Equations with Variable Coefficients. International Journal of Nonlinear Science, Volume 7, No.2, (2009) 174-181.
2. Kim, J., A numerical method for the Cahn-Hilliard equation with a variable mobility. Communications in Nonlinear Sciences and Numerical Simulation,Volume 12, (2007) 1560-1571.
3. Wells, G.N., Kuhl, E., Garikipati, K., A discontinuous Galerkin method for the Cahn-Hilliard equation. Journal of Computational Physics,Volume 218, (2006) 860-877.
4. Abdul-Majid Wazwaz, Exact solutions of compact and noncompact structures for the KP-BBM equation. Applied Mathematics and Computation, Volume 169, Issue 1, (2005) 700-712.
5. Abdul-Majid Wazwaz, Compact and noncompact physical structures for the ZK-BBM equation. Applied Mathematics and Computation, Volume 169, Issue 1, (2005) 713-725.
6. Huabing Jia, Wei Xu, Solitons solutions for some nonlinear evolution equations. Applied Mathematics and Computation, Volume 217(2010) 1678-1687.
7. Abdul-Majid Wazwaz, New travelling wave solutions of different physical structures to generalized BBM equation. Physics Letters A, Volume 355, Issues 4-5, (2006) 358-362.
8. Ming Song, Chenxi Yang, Bengong Zhang, Exact solitary wave solutions of the Kadomtsov Petviashvili Benjamin Bona Mahony equation. Applied Mathematics and Computation, Volume 217, Issue 4, (2010) 1334-1339
9. Malfliet W, Hereman W., The tanh method: I. Exact solutions of nonlinear evolution and wave equations. Phys Scr, Volume 54, (1996) 563-568.
10. Malfliet W, Hereman W., The tanh method: II. Perturbation technique for conservative systems. Phys Scr, Volume 54, (1996) 569-575.
11. Dogan Kaya, Kamel Al-Khaled, A numerical comparison of a Kawahara equation. Physics Letters A, Volume 363, Issues 5-6, 9 April 2007, Pages 433-439.
12. Kamel Al-Khaled, Sinc numerical solution for solitons and solitary waves. Journal of Computational and Applied Mathematics, Volume 130, Issues 1-2, 1 May 2001, Pages 283-292.
13. J. Biazar and Mahmoodi, Applications of Differential Transform method to the Generalized Burgers-Huxley Equation. Applications and Applied Mathematics, Volume 5, Issues 10, (2010), Pages 1726-1740.