Geometry of Boiti-Leon-Manna-Pempinelli Equation

Naser Asadi  and Mehdi Nadjafikhah

doi:10.17485/ijst/2015/v8i33/50167

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Geometry of Boiti-Leon-Manna-Pempinelli Equation

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i33/50167

Year: 2015, Volume: 8, Issue: 33, Pages: 1-7

Original Article

Geometry of Boiti-Leon-Manna-Pempinelli Equation

Naser Asadi¹ and Mehdi Nadjafikhah^2*

¹Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
² School of Mathematics, Iran University of Science and Technology, Narmak, Tehran -1684613114, Iran; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this article, we reduce the Boiti-Leon-Manna-Pempinelli (BLMP) equation to an ordinary differential equation by the Lie symmetry method. Then, we calculate infinite structural equations from Maurer-Cartan’s infinite forms for the symmetrical pseudo-group of this equation, by invariantized defining equation method. Finally using the multiplier method and homotpy operators we calculate conservation law for this equation.
Keywords: Boiti-Leon-Manna-Pempinelli Equation, Conservation Law, (2+1)-Dimensional, Group-Invariant Solutions, Lie Symmetry Method