A reliable treatment for nonlinear Schrödinger equations

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 371, Issue 3, 2007, Pages 234-240

  Khani, F ^a,b   Hamedi Nezhad, S ^b   Molabahrami, A ^a  

^a ILAM UNIVERSITY   (Iran)

^b Bakhtar Institute of Higher Education Iran   (Iran)

Author keywords

Cubic nonlinearity; Exp function; Nonlinear Schr dinger equation; Power law nonlinearity

Indexed keywords

CONTROL NONLINEARITIES; FUNCTIONS;

CUBIC NONLINEARITIES; DINGER EQUATION; EXP-FUNCTION METHOD; MATHEMATICAL TOOLS; NONLINEAR WAVE EQUATION; POWER-LAW NONLINEARITY; SOLVING NONLINEAR EQUATIONS; SYMBOLIC COMPUTATION;

NONLINEAR EQUATIONS;

EID: 35449000588     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.09.045     Document Type: Article

References (37)

1. He J.H. Int. J. Non-Linear. Mech. 34 4 (1999) 699
2. Darvishi M.T., Khani F., and Soliman A.A. Comput. Math. Appl. 54 7-8 (2007) 1055
3. M.T. Darvishi, F. Khani, Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations, Chaos Solitons Fractals (2007), doi: 10.1016/j.chaos.2007.07.034
4. He J.H. Int. J. Mod. Phys. B 20 18 (2006) 2561
5. He J.H. Chaos Solitons Fractals 26 3 (2005) 695
6. He J.H. Int. J. Nonlinear Sci. Numer. Simul. 6 2 (2005) 207
7. A. Molabahrami, F. Khani, S. Hamedi-Nezad, Soliton solutions of the two-dimensional KdV-Burgers equation by homotopy perturbation method, Phys. Lett. A (2007), doi: 10.1016/j.physleta.2007.05.101
8. A. Molabahrami, F. Khani, Numerical solutions of highly oscillatory integrals, Appl. Math. Comput. (2007), doi: 10.1016/j.amc.2007.09.007
9. Wazwaz A.M. Chaos Solitons Fractals 25 (2005) 55
10. Abdusalam H.A. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 99
11. Bai C.L., and Zhao H. Chaos Solitons Fractals 27 (2006) 1026
12. Abdou M.A., and Soliman A.A. Phys. Lett. A 353 6 (2006) 487
13. Ibrahim R.S., and El-Kalaawy O.H. Chaos Solitons Fractals 31 4 (2007) 1001
14. El-Wakil S.A., and Abdou M.A. Chaos Solitons Fractals 31 4 (2007) 840
15. Franz P., and Hongyou W. J. Geom. Phys. 17 3 (1995) 245
16. Wazwaz A.M. Comput. Math. Appl. 50 10-12 (2005) 1685
17. Xiqiang Z., Limin W., and Weijun S. Chaos Solitons Fractals 28 2 (2006) 448
18. Zhaosheng F. Appl. Math. Comput. 158 2 (2004) 593
19. Jie-Fang Z. Phys. Lett. A 313 5-6 (2003) 401
20. Fan E., and Jian Z. Phys. Lett. A 305 6 (2002) 383
21. Fan E., and Hon Y.C. Appl. Math. Comput. 141 (2003) 351
22. Hon Y.C., and Fan E. Chaos Solitons Fractals 24 4 (2005) 1087
23. Yomba E. Phys. Lett. A 340 (2005) 149
24. Yomba E. Phys. Lett. A 336 (2005) 463
25. Yomba E. Chaos Solitons Fractals 26 (2005) 785
26. He J.H. Int. J. Mod. Phys. B 20 10 (2006) 1141
27. He J.H., and Wu X.H. Chaos Solitons Fractals 30 3 (2006) 700
28. He J.H., and Abdou M.A. Chaos Solitons Fractals 34 (2007) 1421
29. El-Wakil S.A., Madkour M.A., and Abdou M.A. Phys. Lett. A 369 (2007) 62
30. Zhang S. Phys. Lett. A 365 (2007) 448
31. S. Zhang, Application of Exp-function method to high-dimensional nonlinear evolution equation, Chaos Solitons Fractals (2006), doi: 10.1016/j.chaos.2006.11.014
32. Ebaid A. Phys. Lett. A 365 (2007) 213
33. Ablowitz M., and Segur H. Solitons and the Inverse Scattering Transform (1981), SIAM, Philadelphia
34. Drazin P.G., and Johnson R.S. Solitons: An Introduction (1993), Cambridge Univ. Press, New York
35. Hirota R. Direct Methods in Soliton Theory (1980), Springer, Berlin
36. Lax P.D. Commun. Pure Appl. Math. 28 (1975) 141
37. Wazwaz A.M. Math. Comput. Mod. 43 (2006) 178