The extended tanh method and the exp-function method to solve a kind of nonlinear heat equation

Mathematical Problems in Engineering

Volumn 2010, Issue , 2010, Pages

  Zhang, Weimin ^a  

^a JIAYING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EXACT SOLUTION; EXP-FUNCTION METHOD; NONLINEAR HEAT EQUATION; TANH METHOD; TEMPERATURE-DEPENDENT THERMAL PROPERTY;

THERMODYNAMIC PROPERTIES;

NONLINEAR EQUATIONS;

EID: 78249236219     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2010/935873     Document Type: Article

References (18)

1. Evans L. C., Partial Differential Equations 1998 19 Providence, RI, USA American Mathematical Society xviii+662 Graduate Studies in Mathematics
2. Necati Ozisk M., Heat Conduction 1993 2nd New York, NY, USA John Wiley Sons
3. Bokhari A. H., Mohammad G., Mustafa M. T., Zaman F. D., Adomian decomposition method for a nonlinear heat equation with temperature dependent thermal properties Mathematical Problems in Engineering 2009 2009
4. Malfliet W., Solitary wave solutions of nonlinear wave equations American Journal of Physics 1992 60 7 650 654
5. Fan E., Hon Y. C., Generalized Tanh method extended to special types of nonlinear equations Zeitschrift fur Naturforschung A 2002 57 8 692 700
6. Abdusalam H. A., On an improved complex Tanh-function method International Journal of Nonlinear Sciences and Numerical Simulation 2005 6 2 99 106
7. El-Sabbagh M. F., Ali A. T., New exact solutions for (3+1)-dimensional Kadomtsev-Petviashvili equation and generalized (2+1)-dimensional Boussinesq equation International Journal of Nonlinear Sciences and Numerical Simulation 2005 6 2 151 162
8. Zhang W., Tian L., An extended Tanh-method and its application to the soliton breaking equation Journal of Physics: Conference Series 2008 96 1
9. Wazwaz A.-M., The Tanh method: exact solutions of the Sine-Gordon and the Sinh-Gordon equations Applied Mathematics and Computation 2005 167 2 1196 1210
10. He J-H., Wu X.-H., Exp-function method for nonlinear wave equations Chaos, Solitons and Fractals 2006 30 3 700 708
11. He J.-H., Abdou M. A., New periodic solutions for nonlinear evolution equations using Exp-function method Chaos, Solitons and Fractals 2007 34 5 1421 1429
12. Wu X.-H., He J.-H., EXP-function method and its application to nonlinear equations Chaos, Solitons and Fractals 2008 38 3 903 910
13. Ebaid A., Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method Physics Letters A 2007 365 3 213 219
14. Bekir A., Boz A., Exact solutions for a class of nonlinear partial differential equations using exp-function method International Journal of Nonlinear Sciences and Numerical Simulation 2007 8 4 505 512
15. Zhang S., Application of Exp-function method to a KdV equation with variable coefficients Physics Letters A 2007 365 5-6 448 453
16. Zhang W., Tian L., Generalized solitary solution and periodic solution of the combined KdV-mKdV equation with variable coefficients using the Exp-function method International Journal of Nonlinear Sciences and Numerical Simulation 2009 10 6 711 715
17. Zhu S.-D., Exp-function method for the Hybrid-Lattice system International Journal of Nonlinear Sciences and Numerical Simulation 2007 8 3 461 464
18. Zhu S.-D., Exp-function method for the discrete mKdV lattice International Journal of Nonlinear Sciences and Numerical Simulation 2007 8 3 465 468