Optimal system, group invariant solutions and conservation laws of the CGKP equation
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3392-6
Abstract: In this paper, the (2 + 1)-dimensional cubic generalized Kadomtsev–Petviashvili (CGKP) equation that is derived from the Maxwell–Bloch equations is investigated. By means of Lie symmetry analysis method, we obtain the Lie point symmetries for the equation… read more here.
Keywords: group invariant; invariant solutions; system; optimal system ... See more keywords
Symmetry reductions, group-invariant solutions and conservation laws of a three-coupled Korteweg-de Vries system
Sign Up to like & getrecommendations! Published in 2019 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2019.06.004
Abstract: Abstract The Korteweg-de Vries (KdV)-type equations appear during the studies on the cosmic plasmas, planetary atmospheres and oceans. In this paper, via the Lie symmetry method, we investigate a three-coupled KdV system. Lie point symmetry… read more here.
Keywords: system; korteweg vries; three coupled; symmetry ... See more keywords
Group Invariant Dictionary Learning
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DOI: 10.1109/tsp.2021.3087900
Abstract: The dictionary learning problem concerns the task of representing data as sparse linear sums drawn from a smaller collection of basic building blocks. In application domains where such techniques are deployed, we frequently encounter datasets… read more here.
Keywords: dictionary learning; invariant dictionary; collection; group invariant ... See more keywords
Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup System
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DOI: 10.1155/2019/1892481
Abstract: From the nonlocal symmetries of the Whitham-Broer-Kaup system, an eight-dimensional Lie algebra is found and the corresponding one-dimensional optimal system is constructed to provide an inequivalent classification. Six types of inequivalent group invariant solutions are… read more here.
Keywords: group invariant; broer kaup; kaup system; system ... See more keywords