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
Competing phases and critical behaviour in three coupled spinless Luttinger liquids
Sign Up to like & getrecommendations! Published in 2021 at "New Journal of Physics"
DOI: 10.1088/1367-2630/ac2ce3
Abstract: We study electronic phase competition in a strongly correlated system of three coupled spinless Luttinger liquids—one of the simplest models where topologically nontrivial chiral orders may be realized. We study the problem as a coupled… read more here.
Keywords: coupled spinless; spinless luttinger; competing phases; three coupled ... See more keywords
Soliton molecules, breather molecules and stability analysis of the three-coupled nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2024 at "Physica Scripta"
DOI: 10.1088/1402-4896/ad3c72
Abstract: We investigate the three-coupled nonlinear Schrödinger (NLS) equation, which holds a significant physical implications in optical communications and biophysics. The multi-soliton solutions are derived utilizing the Hirota bilinear method. Multi-breather solutions are presented by assuming… read more here.
Keywords: soliton; equation; three coupled; schr dinger ... See more keywords
On nonclassical symmetries, Painlevé analysis and soliton solutions of three-coupled korteweg–de vries (KdV) system
Sign Up to like & getrecommendations! Published in 2024 at "Physica Scripta"
DOI: 10.1088/1402-4896/ad9a12
Abstract: The three coupled KdV system is investigated for exact solutions and Painlevé analysis. Exact solutions are examined through nonclassical symmetries via Bluman and Cole approach. Derived symmetries are generalizations of earlier obtained symmetries of the… read more here.
Keywords: soliton; three coupled; system; kdv system ... See more keywords
Generalized Darboux transformations, semirational rogue waves, and modulation instability for the three-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous multicomponent optical fiber
Sign Up to like & getrecommendations! Published in 2021 at "Modern Physics Letters B"
DOI: 10.1142/s0217984921500202
Abstract: Nonlinear optics plays a crucial part in the progress of laser-based technologies and optical science. In this paper, we investigate the three-coupled variable-coefficient nonlinear Schrodinger sys... read more here.
Keywords: variable coefficient; coefficient nonlinear; generalized darboux; three coupled ... See more keywords
Phase-controlled electromagnetically induced symmetric and asymmetric grating in an asymmetric three-coupled quantum well.
Sign Up to like & getrecommendations! Published in 2019 at "Applied optics"
DOI: 10.1364/ao.58.009662
Abstract: Fraunhofer light diffraction of a weak probe field passing through an asymmetric three-coupled quantum well, which is driven by a standing wave and two coupling laser fields, is investigated. Depending on which transitions are coupled… read more here.
Keywords: phase; asymmetric three; coupled quantum; three coupled ... See more keywords