Finite‐dimensional global attractor for a semi‐discrete fractional nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4409
Abstract: We consider a semi-discrete in time Crank–Nicolson scheme to discretize a weakly damped forced nonlinear fractional Schrodinger equation ut−i(−Δ)αu+i|u|2u+γu=f for α∈(12,1) considered in the the whole space R. We prove that such semi-discrete equation provides… read more here.
Keywords: finite dimensional; semi discrete; global attractor; dimensional global ... See more keywords
An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and $$L_2$$L2 stability
Sign Up to like & getrecommendations! Published in 2019 at "Numerische Mathematik"
DOI: 10.1007/s00211-019-01027-9
Abstract: The objective of this article is to characterize the entropy and $$L_2$$L2 stability of several representative discontinuous Galerkin (DG) methods for solving the compressible Euler equations. Towards this end, three DG methods are constructed: one… read more here.
Keywords: compressible euler; semi discrete; euler equations; entropy stability ... See more keywords
Exploring discrete rogue wave, hybrid wave, and their dynamics in a semi-discrete coherently coupled NLS equation featuring a 4 × 4 matrix spectral problem.
Sign Up to like & getrecommendations! Published in 2025 at "Chaos"
DOI: 10.1063/5.0263357
Abstract: This paper delves into a semi-discrete coherently coupled nonlinear Schrödinger equation characterized by a 4×4 matrix spectral problem. Our primary objective is to explore the modulation instability theory of this equation, elucidating its formation mechanism… read more here.
Keywords: equation; matrix spectral; rogue; spectral problem ... See more keywords
Semi-discrete finite-element approximation of nonlocal hyperbolic problem
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DOI: 10.1080/00036811.2020.1749269
Abstract: In this paper, we investigate a semi-discrete finite-element approximation of nonlocal hyperbolic problem. A priori error estimate for the semi-discrete scheme is derived. A fully discrete scheme b... read more here.
Keywords: finite element; semi discrete; discrete finite; element approximation ... See more keywords
Integrable discretization and numerical simulations of the generalized coupled integrable dispersionless equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2019.1581179
Abstract: ABSTRACT In this paper, we study the generalized coupled integrable dispersionless (GCID) equations and construct two integrable discrete analogues including a semi-discrete system and a full-discrete one. The results are based on the relations among… read more here.
Keywords: semi discrete; integrable dispersionless; gcid equations; generalized coupled ... See more keywords
Generalized symmetries and integrability conditions for hyperbolic type semi-discrete equations * * To the memory of A B Shabat and R I Yamilov.
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abf3ea
Abstract: In the article differential-difference (semi-discrete) lattices of hyperbolic type are investigated from the integrability viewpoint. More precisely we concentrate on a method for constructing generalized symmetries. This kind integrable lattices admit two hierarchies of generalized… read more here.
Keywords: semi discrete; integrability; equation; hyperbolic type ... See more keywords
Semi-discrete Matrix Factorization
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Intelligent Systems"
DOI: 10.1109/mis.2020.3016944
Abstract: Discrete matrix factorization (DMF) has been a promising solution to improve the inferring efficiency of matrix factorization (MF) against the rapidly growing numbers of users and items. However, DMF suffers from a serious encoding loss… read more here.
Keywords: matrix factorization; matrix; discrete matrix; semi discrete ... See more keywords
Symmetries for the Semi-Discrete Lattice Potential Korteweg–de Vries Equation
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DOI: 10.3390/math13010117
Abstract: In this paper, we prove that the isospectral flows associated with both the x-part and the n-part of the Lax pair of the semi-discrete lattice potential Korteweg–de Vries equation are symmetries of the equation. Furthermore,… read more here.
Keywords: korteweg vries; lattice potential; discrete lattice; vries equation ... See more keywords
A Study on the Semi-Discrete KP Equation: Bilinear Bäcklund Transformation, Lax Pair and Periodic Wave Solutions
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DOI: 10.3390/math13213492
Abstract: In this paper, we investigate the integrability and solution structure of the semi-discrete KP equation. A bilinear Bäcklund transformation, Lax pair, and nonlinear superposition formula are systematically derived, establishing the integrability of the system. Furthermore,… read more here.
Keywords: equation bilinear; periodic wave; wave solutions; discrete equation ... See more keywords