THERMAL SCIENCE
International Scientific Journal
MODIFIED VARIATIONAL ITERATION METHOD FOR VARIANT BOUSSINESQ EQUATION
ABSTRACT
In this paper, we solve the variant Boussinesq equation by the modified variational iteration method. The approximate solutions to the initial value problems of the variant Boussinesq equation are provided, and compared with the exact solutions. Numerical experiments show that the modified variational iteration method is efficient for solving the variant Boussinesq equation.
KEYWORDS
PAPER SUBMITTED: 2014-12-03
PAPER REVISED: 2015-04-05
PAPER ACCEPTED: 2015-04-25
PUBLISHED ONLINE: 2015-10-25
THERMAL SCIENCE YEAR
2015, VOLUME
19, ISSUE
Issue 4, PAGES [1195 - 1199]
- Whitham, G. B., Linear and Nonlinear Wave, John Wiley and Sons, New York, USA, 1974
- Krishman, E. V., An Exact Solution of Classical Boussinesq Equation, Journal of the Physical Society of Japan, 51 (1982), 8, pp. 2391-2392
- Sachs, R. L., On the Integrable Variant of the Boussinesq System: Painleve Property, Rational Solutions, a Related Many-Body System, and Equivalence with the AKNS Hierarchy. Physica D: Nonlinear Phenomena, 30 (1988), 1, pp. 1-27
- Wang, M. L., Solitary Wave Solutions for Variant Boussinesq Equations, Physics Letters A, 199 (1995), 3, pp. 169-172
- Wu, X.-H., He, J.-H., Exp-Function Method and Its Application to Nonlinear Equations, Chaos, Soliton and Fractals, 38 (2008), 3, pp. 903-910
- Jabbaria, A., et al., Analytical Solution of Variant Boussinesq Equations, Mathematical Methods in the Applied Sciences, 37 (2014), 6, pp. 931-936
- Yomba, E., The Extended Fan's Sub-Equation Method and Its Application to KdV-MKdV, BKK, and Variant Boussinesq Equations, Physics Letters A, 336 (2005), 6, pp. 463-476
- Yuan, Y., et al., Bifurcations of Travelling Wave Solutions in Variant Boussinesq Equation, Applied Mathematics and Mechanics, 27 (2006), 6, pp. 716-726
- Fan, E., Hon, Y.-C., A Series of Travelling Wave Solutions for Two Variant Boussinesq Equations in Shallow Water Waves, Chaos, Soliton and Fractals, 15 (2003), 3, pp. 559-566
- Abassy, T. A., et al., Toward a Modified Variational Iteration Method, Journal of Computational and Applied Mathematics, 207 (2007), 1, pp. 137-147
- He, J.-H., Variational Iteration Method for Delay Differential Equations, Communications in Nonlinear Science and Numerical Simulation, 2 (1997), 4, pp. 235-236
- He, J.-H., Variational Iteration Method - a Kind of Non-Linear Analytical Technique: Some Examples, International Journal of Non-Linear Mechanics, 34 (1999), 4, pp. 699-708
- He, J.-H., Approximate Solution of Nonlinear Differential Equations with Convolution Product Nonlinearities, Computer Methods in Applied Mechanics and Engineering, 167 (1998), 1-2, pp. 69-73
- He, J.-H., Wu, X.-H, Construction of Solitary Solution and Compacton-Like Solution by Variational Iteration Method, Chaos, Solitons & Fractals, 29 (2006), 1, pp. 108-113