On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction
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DOI: 10.1007/s11587-018-0429-1
Abstract: A multi-component, modulated NLS system is presented which admits symmetry reduction to a nonlinear subsystem that is shown to be integrable by application of its admitted Ermakov invariants and a novel class of reciprocal transformations. read more here.
Keywords: multi component; ermakov invariants; symmetry reduction;
Local Symmetry Reduction in Lanthanum Substituted Barium Stannate Ceramics Densified Using Bi2O3 Sintering Aids
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DOI: 10.1007/s11664-019-07437-7
Abstract: Densified Ba1−xLaxSnO3 (BLSO) ceramics were synthesized at relatively lower sintering temperature by a conventional solid state reaction route. X-ray diffraction (XRD) analysis using the Reitveld refinement technique inferred cubic (space group Pm–3m) average crystalline structure.… read more here.
Keywords: reduction; local symmetry; using bi2o3; bi2o3 sintering ... See more keywords
Jordan symmetry reduction for conic optimization over the doubly nonnegative cone: theory and software
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DOI: 10.1080/10556788.2021.2022146
Abstract: A common computational approach for polynomial optimization problems (POPs) is to use (hierarchies of) semidefinite programming (SDP) relaxations. When the variables in the POP are required to be nonnegative, these SDP problems typically involve nonnegative… read more here.
Keywords: doubly nonnegative; optimization; conic optimization; symmetry reduction ... See more keywords
Symmetry Reduction and Soliton-Like Solutions for the Generalized Korteweg-De Vries Equation
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DOI: 10.1134/s1995080218090366
Abstract: We analyze the gKdV equation, a generalized version of Korteweg-de Vries with an arbitrary function f(u). In general, for a function f(u) the Lie algebra of symmetries of gKdV is the 2-dimensional Lie algebra of… read more here.
Keywords: soliton like; like solutions; korteweg vries; lie algebra ... See more keywords