Applications of algebraic method to exactly solve some nonlinear partial differential equations

Chaos, Solitons and Fractals

Volumn 33, Issue 4, 2007, Pages 1263-1274

  Darwish, A A ^a   Ramady, A ^b  

^a Helwan University   (Egypt)

^b Beni Suef University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTATIONAL METHODS; GRAPH THEORY; NONLINEAR EQUATIONS;

COMPUTER ALGEBRAIC SYSTEM; NONLINEAR EVOLUTION EQUATIONS; TRAVELLING WAVE SOLUTIONS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 33947153806     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.01.082     Document Type: Article

References (22)

1. Ablowitz M.J., and Clarkson P.A. Soliton, Nonlinear Evolution Equations and Inverse Scattering (1991), Cambridge University Press, Cambridge
2. Akhiezer N. Elements of Theory of Elliptic Functions (1990), American Mathematical Society, Providence
3. Bai C. Phys Lett A 288 (2001) 191
4. Bertoff N.G., and Howard L.N. Stud Appl Math 100 (1998) 195
5. Bretherton F.P. J Fluid Mech 20 (1964) 457
6. Clarkson P.A., and Kruskal M.L. J Math Phys 30 (1989) 2201
7. Conte R., and Musette M. J Phys A: Math Gen 25 (1992) 5609
8. Darwish A.A., and Fan E.G. Chaos, Solitons & Fractals 20 3 (2004) 609
9. Darwish AA, Ramady A. Chaos, Solitons & Fractals, submitted for publication.
10. Dodd R.K., Eilbeck J.C., Gibbon J.D., and Morris H.C. Solitons, nonlinear wave equations (1982), Academic Press, London
11. El-Kalaawy O.H. Chaos, Solitons & Fractals 14 4 (2002) 547
12. Elwakil S.A., El-labany S.K., Zahran M.A., and Sabry R. Phys Lett A 299 (2002) 179
13. Fan EG, Nuovo Cimento B. 2001;116(12):1385.
14. Fan E.G. J Phys A: Mat Gen 35 (2002) 6853
15. Fu Z.T., Liu S.D., and Zhao Q. Phys Lett A 290 (2001) 72
16. Gaffet B. Physica D 26 (1987) 123
17. Makhanov V.G. Phys Rep 35 (1978) 1
18. Malfliet W. Am J Phys 60 (1992) 650
19. Seyler C.E., and Fenstermacher D.L. Phys Fluids 27 (1984) 4
20. Tzitzéica G. C R Acad Sci Paris 144 (1907)
21. Wadati M., Sanuki H., and Kono K. Progr Theor Phys 53 (1975) 419
22. Wang M.X. Nonlinear Equations of Parabolic Type (1994), Science Press, Beijing