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math.AP2021
On the Rosenau equation: Lie symmetries, periodic solutions and solitary wave dynamics
Ali Demirci, Yasin Hasanoglu, Gulcin M. Muslu +1
In this paper, we first consider the Rosenau equation with the quadratic nonlinearity and identify its Lie symmetry algebra. We obtain reductions of the equation to ODEs, and find…
math.AP2011★ 2 cited
A variable coefficient nonlinear Schrödinger equation with a four-dimensional symmetry group and blow-up of its solutions
F. Güngör, M. Hasanov, C. Özemir
A canonical variable coefficient nonlinear Schrödinger equation with a four dimensional symmetry group containing $\SL(2,\mathbb{R})$ group as a subgroup is considered. This typica…