## THERMAL SCIENCE

International Scientific Journal

### NUMERICAL ANALYSIS OF THE (2+1)-DIMENSIONAL BOITI-LEON-PEMPINELLI EQUATION

**ABSTRACT**

The (2+1)-dimensional Boiti-Leon-Pempinelli equation is studied by the modified variational iteration method. The numerical solutions to its initial value problem are provided and compared with the exact soliton solutions. The present theory offers an in-depth physical understanding of hydrodynamic properties of non-linear wave equations.

**KEYWORDS**

PAPER SUBMITTED: 2016-07-15

PAPER REVISED: 2016-11-03

PAPER ACCEPTED: 2016-11-21

PUBLISHED ONLINE: 2017-09-09

**THERMAL SCIENCE** YEAR

**2017**, VOLUME

**21**, ISSUE

**Issue 4**, PAGES [1657 - 1663]

- Boiti, M., et al., Integrable Two-Dimensional Generalization of the Sine- and Sinh-Gordon Equations, Inverse Problems, 3 (1987), 1, pp. 37-49
- Dai, C. Q., Ni, Y. Z., Novel Interactions between Semi-Foldons of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equation, Physica Scripta, 74 (2006), 5, pp. 584-590
- Huang, D. J., Zhang, H. Q., Exact Travelling Wave Solutions for the Boiti-Leon-Pempinelli Equation, Chaos Solitons & Fractals, 22 (2004), 1, pp. 243-247
- Ren, Y. J., et al., A New Generalized Algebra Method and its Application in the (2+1) Dimensional Boi-ti-Leon-Pempinelli Equation, Chaos Solitons & Fractals, 3 (2007), 5, pp. 1655-1665
- Wu, X. H., He, J.-H., Exp-Function Method and its Application to Non-linear Equations, Chaos Solitons & Fractals, 38 (2008), 3, pp. 903-910
- Wazwaz, A., Mehanna, M. S., A Variety of Exact Travelling Wave Solutions for the (2+1)-Dimensional Boiti-Leon-Pempinelli Equation, Applied Mathematics and Computation, 217 (2010), 4, pp. 1484-1490
- Weiss, J., Factorization of the (2+1)-Dimensional BLP Integrable System by the Periodic Fixed Points of Its Backlund Transformations, Physics Letters A, 160 (1991), 2, pp. 161-165
- 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 Non-linear 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
- Lu, J. F., Ma, L., Analytical Approach to a Generalized Hirota-Satsuma Coupled Korteweg-de Vries Equations by Modified Variation Iteration Method, Thermal Science, 20 (2016), 3, pp. 885-888