Conservation Laws and Hamiltonian Symmetries of Whitham-Broer-Kaup Equations

Mehdi Nadjafikhah  and Parastoo Kabi Nejad

doi:10.17485/ijst/2015/v8i1/47809

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Conservation Laws and Hamiltonian Symmetries of Whitham-Broer-Kaup Equations

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i1/47809

Year: 2015, Volume: 8, Issue: 2, Pages: 178–184

Original Article

Conservation Laws and Hamiltonian Symmetries of Whitham-Broer-Kaup Equations

Mehdi Nadjafikhah* and Parastoo Kabi-Nejad

School of Mathematics, Iran University of Science and Technology, Narmak-16, Tehran, I.R. Iran; m nadjafikhah@iust.ac.ir, parastoo kabinejad@iust.ac.ir

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

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