Nonclassical symmetries, nonlinear self-adjointness, conservation laws and some new exact solutions of cylindrical KdV equation

S Sil - International Journal of Applied and Computational …, 2023 - Springer
This paper is devoted to obtain some new exact solutions to the cylindrical KdV equation
using nonclassical symmetry analysis. Classical Lie point symmetries and nonclassical …

Lie symmetry analysis, optimal system and exact solutions of variable-coefficients Sakovich equation

Y Hu, F Zhang, X Xin - Journal of Geometry and Physics, 2023 - Elsevier
In this paper, the Sakovich equation is extended for the first time to a new equation with
variable-coefficients on the time variable. The infinitesimal generators are obtained by …

Study of Solitons using Efficient Technique Involving Lie Group Theory

V Jadaun, A Srivastav - International Journal of Applied and …, 2024 - Springer
This article deals with closed form solutions associated with Zoomeron equation (ZME) in
(2+ 1)-dimensions. These solutions are obtained by similarity transformations method …

Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit

JF Cariñena, P Guha, MF Rañada - Reviews in Mathematical …, 2023 - World Scientific
We study a geometrical formulation of the nonlinear second-order Riccati equation (SORE)
in terms of the projective vector field equation on S 1, which in turn is related to the stability …