Modified extended tanh-function method and its applications to nonlinear equations

Applied Mathematics and Computation

Volumn 161, Issue 2, 2005, Pages 403-412

  Elwakil, S A ^a   El Labany, S K ^b   Zahran, M A ^a   Sabry, R ^b  

^a Mansoura University   (Egypt)

^b MANSOURA UNIVERSITY   (Egypt)

Author keywords

Nonlinear evolution equations; Solitary wave solutions; Symbolic computation; Travelling wave solutions

Indexed keywords

APPROXIMATION THEORY; FUNCTION EVALUATION; INVERSE PROBLEMS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; SOLITONS; WAVE EQUATIONS;

BOUSSINESQ EQUATION; SOLITARY WAVE SOLUTIONS; SYMBOLIC COMPUTATION; TRAVELLING WAVE SOLUTIONS;

NONLINEAR EQUATIONS;

EID: 10044224813     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.12.035     Document Type: Article

References (27)

1. E. Fan, Phys. Lett. A 277 (2000) 212.
2. E. Fan, Z. Naturforsch 56a (2001) 312.
3. S.A. Elwakil, S.K. Elabany, M.A. Zahran, R. Sabry, Phys. Lett. A 299 (2002) 179.
4. G.B. Whitham, Linear and Nonlinear Waves, Wiley, New York, 1974.
5. P.A. Clarkson, E.L. Mansfield, Nonlinearity 7 (1994) 975.
6. J. Hietarinta, Partially Integrable Evolution Equations in Physics, in: R. Conte, N. Boccara (Eds.), NATO AST Series C: Mathematical and Physical Sciences, vol 310, Dordrecht: Kluwer, 1990, pp. 459-478.
7. R. Hirota, Solitons, in: R.K. Bullough, P.J. Caudrey (Eds.), Topics in Current Physics, vol 17, Springer, Berlin, 1980, pp. 157-176.
8. P.A. Clarkson, R.J. LeVeque, R. Saxton, Stud. Appl. Nath. 75 (1987) 95.
9. M.P. Soerensen, P.L. Christiansen, P.S. Lomdahl, J. Acoust. Soc. Am. 76 (1984) 871.
10. M.P. Soerensen, P.L. Christiansen, P.S. Lomdahl, O. Skovgaard, J. Acoust. Soc. Am. 81 (1987) 1718.
11. P.L. Christiansen, V. Muto, Physica D 68 (1993) 93.
12. V. Muto, J. Halding, P.L. Christiansen, A.C. Scott, J. Biomol. Struct. Dyn. 4 (1988) 873.
13. G.B. Whitham, Proc. R. Soc. A 299 (1967) 6.
14. L.T.F. Broer, Appl. Sci. Res. 31 (1975) 377.
15. B.A. Kupershmidt, Commun. Math. Phys. 99 (1985) 51.
16. M. Wang, Y. Zhou, Z. Li, Phys. Lett. A. 216 (1996) 67-75.
17. E. Fan, Phys. Lett. A 300 (2002) 243.
18. E. Fan, Y.C. Hon, Appl. Math. Comput. 141 (2003) 351.
19. S.A. Elwakil, S.K. El-Labany, M.A. Zahran, R. Sabry, Chaos, Solitons Fractals 17 (2003) 121.
20. S.A. Elwakil, S.K. El-Labany, M.A. Zahran, R. Sabry, Z. Naturforsch 58a (2003) 39.
21. V.V. Gudkov, J. Math. Phys. 38 (1997) 4794.
22. M. Adler, J. Moser, Commun. Math. Phys. 19 (1978) 1.
23. A. Nakamura, R. Hirota, J. Phys. Soc. Jpn. 54 (1985) 491.
24. R.L. Sachs, Physica D 30 (1988) 1.
25. E. Fan, L. Chao, Phys. Lett. A 285 (2001) 373.
26. N.F. Smyth, J. Aust. Math. Soc. B 33 (1992) 403.
27. N.A. Kudryashov, D. Zargayan, J. Phys. A: Math. Gen. 29 (1996) 8067.