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Classical Lie symmetries and similarity reductions of the $(2 + 1)$ $(2 + 1)$ -dimensional dispersive long wave system

Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Pin-173234, Himachal Pradesh, India

E-mail Address: 176851@mail.juit.ac.in

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and

K. Singh

Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Pin-173234, Himachal Pradesh, India

E-mail Address: Karanjeet.singh@juit.ac.in

Corresponding author.

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https://doi.org/10.1142/S1793557121500522Cited by:3 (Source: Crossref)

Abstract

In the present work, classical Lie symmetry method is adopted to obtain the Lie symmetries and similarity reductions of the $(2 + 1)$ $(2 + 1)$ -dimensional dispersive long wave equation. We also demonstrate that the symmetry algebra of this equation is an infinte dimensional, together with Kac–Moody–Virasoro type subalgebras.

Communicated by D. V. Pai

Keywords:

AMSC: 35G20, 35G50, 35E99

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