Variational iteration method for solving non-linear partial differential equations

Chaos, Solitons and Fractals

Volumn 39, Issue 3, 2009, Pages 1297-1303

  Hemeda, A A ^a  

^a Tanta University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

LAGRANGE MULTIPLIERS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

CAMASSA-HOLM EQUATIONS; NON-LINEAR METHODS; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; NONLINEAR PROBLEMS; PERTURBATION METHOD; SMALL PERTURBATIONS; VARIATIONAL ITERATION METHOD; VARIATIONAL THEORY;

ITERATIVE METHODS;

EID: 62949245816     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.06.025     Document Type: Article

References (11)

1. Inokuti M., et al. 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 156-162
2. He J.H. Semi-inverse method of establishing generalized principles for fluid mechanics with emphasis on turbo-machinery aero dynamics. Int J Turbo Jet-Engines 14 1 (1994) 23-28
3. Finlayson B.A. The method of weighted residuals and variational principles (1972), Academic Press, New York
4. He J.H. A new approach to non-linear partial differential equations. Commun Non-linear Sci Numer Simulat 2 4 (1997) 230-235
5. He J.H. Variational iteration method for delay differential equations. Commun Non-linear Sci Numer Simulat 2 4 (1997) 235-236
6. He J.H. Variational iteration method for non-linearity and its applications. Mech Practice 20 1 (1998) 30-32
7. He J.H. Variational iteration - a kind of non-linear analytical technique: some examples. Pergamon Int J Non-Linear Mech 34 (1999) 699-708
8. Momani Shaher., and Abuasad S. Application of He's variational iteration method to Helmholtz equation. Chaos Solitons & Fractals 27 (2006) 1119-1123
9. Fan E. Uniformly constructing a series of explicit exact solutions to non-linear equations in mathematical physics. Chaos Solitons & Fractals 16 (2003) 819-839
10. Mohamad M.N.B. Exact solutions to the combined KdV-MKdV equation. Math Methods Appl Sci 15 (1992) 73-80
11. Fuchssteiner B. Some tricks from the symmetry-toolbox for non-linear equations: generalizations of the Camassa-Holm equation. Physica D 95 (1996) 229-243