Lie symmetries and conservation laws of the Hirota-Ramani equation
Mehdi Nadjafikhah, Vahid Vahid Shirvani-Sh
TL;DR
This paper applies Lie symmetry methods to the Hirota-Ramani equation to identify symmetries, classify solutions, and derive conservation laws, enhancing understanding of its mathematical structure.
Contribution
It provides a comprehensive symmetry analysis, including group classification, invariant solutions, and conservation laws for the Hirota-Ramani equation.
Findings
Identified the symmetry group and optimal subalgebras.
Classified group-invariant solutions and performed symmetry reduction.
Derived conservation laws for the Hirota-Ramani equation.
Abstract
In this paper, Lie symmetry method is performed for the Hirota-Ramani (H-R) equation. We will find The symmetry group and optimal systems of Lie subalgebras. Furthermore, preliminary classification of its group invariant solutions, symmetry reduction and nonclassical symmeries are investigated. Finally the conservation laws of the H-R equation are presented.
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