Informatics Publishing Limited

Mehdi Nadjafikhah ¹, Parastoo Kabi-Nejad ¹

Affiliations
1 School of Mathematics, Iran University of Science and Technology, Narmak-16, Tehran, IR

Abstract

In the present paper, conservation laws of the tri-Hamiltonain system of equations Whitham-Broer-Kaup (WBK) are investigated by applying the first homotopy formula. Hamiltonian symmetries of the system are constructed by using the corresponding Hamiltonian operators and the conserved densities.

Keywords

Equations Whitham-Broer-Kaup, Conservation Laws, Hamiltonian Symmetry.

Full Text

   

Naser Asadi ¹, Mehdi Nadjafikhah ²

Affiliations
1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IR
2 2School of Mathematics, Iran University of Science and Technology, Narmak, Tehran -1684613114, IR

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

Full Text