Lie symmetries and conservation laws of the Hirota-Ramani equation. (English) Zbl 1252.35024
Summary: The Lie symmetry method is applied to the Hirota-Ramani (H-R) equation. We find the symmetry group and optimal systems of Lie subalgebras. Furthermore, a preliminary classification of its group invariant solutions, symmetry reduction and non-classical symmetries are investigated. Finally, conservation laws of the H-R equation are presented.
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