Numerical doubly-periodic solution of the (2 + 1)-dimensional Boussinesq equation with initial conditions by the variational iteration method

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

Volumn 366, Issue 1-2, 2007, Pages 20-24

  Inc, Mustafa ^a  

^a FIRAT UNIVERSITY   (Turkey)

Author keywords

(2 + 1) dimensional Boussinesq equation; Lagrange multiplier; Variational iteration method

Indexed keywords

LAGRANGE MULTIPLIERS; NUMERICAL METHODS;

APPROXIMATE SOLUTION; BOUSSINESQ EQUATIONS; DOUBLY PERIODIC SOLUTIONS; EFFECTIVE TOOL; EXACT SOLUTION; INITIAL CONDITIONS; NONLINEAR PROBLEMS; VARIATIONAL ITERATION METHOD;

ITERATIVE METHODS;

EID: 34247648121     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.01.066     Document Type: Article

References (31)

1. He J.H. Commun. Nonlinear Sci. Numer. Simul. 2 4 (1997) 230
2. He J.H. Commun. Nonlinear Sci. Numer. Simul. 2 4 (1997) 235
3. He J.H. Int. J. Nonlinear Mech. 34 (1999) 699
4. He J.H. Appl. Math. Comput. 114 (2000) 115
5. He J.H. Chaos Solitons Fractals 19 (2004) 847
6. He J.H. Appl. Math. Comput. 143 (2003) 539
7. He J.H. Comput. Methods Appl. Mech. Engrg. 167 1-2 (1998) 57
8. He J.H. Comput. Methods Appl. Mech. Engrg. 167 1-2 (1998) 69
9. He J.H., Wan Y.Q., and Guo Q. Int. J. Circuit Theory Appl. 32 (2004) 629
10. Drãgãnescu G.E., and Cãpãlnãsan V. Int. J. Nonlinear Sci. Numer. Simul. 4 (2004) 219
11. Marinca V. Int. J. Nonlinear Sci. Numer. Simul. 3 (2002) 107
12. Odibat Z.M., and Momani S. Int. J. Nonlinear Sci. Numer. Simul. 7 (2006) 27
13. Momani S., and Abuasad S. Chaos Solitons Fractals 27 (2006) 1119
14. Abulwafa E.M., Abdou M.A., and Mahmoud A.A. Chaos Solitons Fractals 29 (2006) 313
15. Soliman A.A. Chaos Solitons Fractals 29 (2006) 294
16. Abdou M.A., and Soliman A.A. J. Comput. Appl. Math. 181 (2005) 245
17. Abdou M.A., and Soliman A.A. Physica D 211 (2005) 1
18. He J.H., and Wu X.H. Chaos Solitons Fractals 29 (2006) 108
19. Momani S., and Odibat Z. Chaos Solitons Fractals 5 (2007) 1248
20. Inc M. Physica A 375 (2007) 447
21. M. Dehghan, M. Tatari, Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method, Chaos Solitons Fractals, in press
22. M. Tatari, M. Dehghan, On the convergence of He's variational iteration method, J. Comput. Appl. Math., in press
23. Tatari M., and Dehghan M. Phys. Lett. A 362 5-6 (2007) 401
24. Inc M. Appl. Math. Comput. 184 2 (2007) 631
25. M. Inc, Numerical simulation of KdV and mKdV equations with initial conditions by the variational iteration method, Chaos Solitons Fractals, in press
26. Yan Z. MM Research Preprints 23 (2004) 341
27. Inokvti M., Sekine H., and Mura T. General use of the Lagrange multiplier in non-linear mathematical physics. In: Nemat-Nasser S. (Ed). Variational Method in the Mechanics of Solids (1978), Pergamon Press, Oxford
28. He J.H. Generalized Variational Principles in Fluids (2003), Science and Culture Publishing House of China (in Chinese)
29. He J.H. Mech. Res. Commun. 32 (2005) 93
30. He J.H. Comput. Structures 81 (2003) 2079
31. He J.H. Int. J. Mod. Phys. B 20 (2006) 1141