Invariance analysis of the (2+1) dimensional long dispersive wave equation

Senthil Velan, M. ; Lakshmanan, M. (1997) Invariance analysis of the (2+1) dimensional long dispersive wave equation Journal of Nonlinear Mathematical Physics, 4 (3-4). 251 - 260. ISSN 1402-9251

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Official URL: http://www.atlantis-press.com/publications/jnmp/in...

Related URL: http://dx.doi.org/10.2991/jnmp.1997.4.3-4.1

Abstract

In this paper, we bring out the Lie symmetries and associated similarity reductions of the recently proposed (2+1) dimensional long dispersive wave equation. We point out that the integrable system admits an infinite-dimensional symmetry algebra along with Kac-Moody-Virasoro-type subalgebras. We also bring out certain physically interesting solutions.

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