Lie symmetries of a system arising in plasma physics
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4665
Abstract: Lie group classification for a diffusion-type system that has applications in plasma physics is derived. The classification depends on the values of 5 parameters that appear in the system. Similarity reductions are presented. Certain initial… read more here.
Keywords: system arising; system; lie symmetries; physics ... See more keywords
Moving frames for Lie symmetries reduction of nonholonomic systems
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mechanica"
DOI: 10.1007/s00707-019-02445-4
Abstract: Given a Lie group of finite-dimensional transformations acting on a manifold, there is always an action known as a long-acting group action. This action describes the fundamental basis of the Lie theory connecting groups of… read more here.
Keywords: reduction; moving frames; lie symmetries; group ... See more keywords
Lie Symmetries Methods in Boundary Crossing Problems for Diffusion Processes
Sign Up to like & getrecommendations! Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-020-00336-8
Abstract: This paper uses Lie symmetry methods to analyze boundary crossing probabilities for a large class of diffusion processes. We show that if the Fokker–Planck–Kolmogorov equation has non-trivial Lie symmetry, then the boundary crossing identity exists… read more here.
Keywords: lie symmetries; boundary crossing; symmetries methods; diffusion processes ... See more keywords
On Lie symmetries and soliton solutions of $$(2+1)$$(2+1)-dimensional Bogoyavlenskii equations
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4509-2
Abstract: The present article is devoted to find some invariant solutions of the $$(2+1)$$(2+1)-dimensional Bogoyavlenskii equations using similarity transformations method. The system describes $$(2+1)$$(2+1)-dimensional interaction of a Riemann wave propagating along y-axis with a long wave… read more here.
Keywords: lie symmetries; bogoyavlenskii equations; soliton solutions; dimensional bogoyavlenskii ... See more keywords
Classical Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave system
Sign Up to like & getrecommendations! Published in 2020 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557121500522
Abstract: In the present work, classical Lie symmetry method is adopted to obtain the Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave equation. We also demonstrate th... read more here.
Keywords: reductions dimensional; dimensional dispersive; lie symmetries; classical lie ... See more keywords
Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14030597
Abstract: This investigation focuses on two novel Kadomtsev–Petviashvili (KP) equations with time-dependent variable coefficients that describe the nonlinear wave propagation of small-amplitude surface waves in narrow channels or large straits with slowly varying width and depth… read more here.
Keywords: closed form; variable coefficient; lie symmetries; vckp equations ... See more keywords