Ultraconvergence of high order FEMs for elliptic problems with variable coefficients
Sign Up to like & getrecommendations! Published in 2017 at "Numerische Mathematik"
DOI: 10.1007/s00211-016-0838-6
Abstract: In this paper, we investigate local ultraconvergence properties of the high-order finite element method (FEM) for second order elliptic problems with variable coefficients. Under suitable regularity and mesh conditions, we show that at an interior… read more here.
Keywords: order; variable coefficients; problems variable; high order ... See more keywords
General Decay for a Viscoelastic Equation of Variable Coefficients in the Presence of Past History with Delay Term in the Boundary Feedback and Acoustic Boundary Conditions
Sign Up to like & getrecommendations! Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-017-0137-y
Abstract: In this paper, we consider a viscoelastic equation of variable coefficients in the presence of infinite memory (past history) with nonlinear damping term and nonlinear delay term in the boundary feedback and acoustic boundary conditions.… read more here.
Keywords: equation variable; term; variable coefficients; history ... See more keywords
The dynamic behaviors between multi-soliton of the generalized $$\pmb {(3+1)}$$-dimensional variable coefficients Kadomtsev–Petviashvili equation
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DOI: 10.1007/s11071-020-05900-3
Abstract: In this work, the generalized $$(3+1)$$ -dimensional variable coefficients Kadomtsev–Petviashvili equation, widely used in fluids or plasmas, is analyzed via the unified method and its general form. The multi-soliton rational solutions are obtained including single-… read more here.
Keywords: variable coefficients; kadomtsev petviashvili; coefficients kadomtsev; soliton ... See more keywords
Equivalence transformations and differential invariants of a generalized cubic–quintic nonlinear Schrödinger equation with variable coefficients
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-020-05940-9
Abstract: In this paper, a variable-coefficient cubic–quintic nonlinear Schrodinger equation involving five arbitrary real functions of space and time is analyzed from the point of view of symmetry analysis by using Lie’s invariance infinitesimal criterion. The… read more here.
Keywords: cubic quintic; differential invariants; variable coefficients; equivalence transformations ... See more keywords
Equivalence Transformation, Dynamical Analysis and Exact Solutions of Harry-Dym System with Variable Coefficients
Sign Up to like & getrecommendations! Published in 2021 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-021-00464-y
Abstract: In this paper, the combination of equivalence transformation and dynamical system method is performed for Harry-Dym (H-D) system. By means of the improved CK direct method, we give the relationship between the variable coefficients H-D… read more here.
Keywords: system; dym system; harry dym; transformation dynamical ... See more keywords
Abundant exact solutions for the (3+1)-dimensional generalized nonlinear Schrödinger equation with variable coefficients
Sign Up to like & getrecommendations! Published in 2020 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2020.03.010
Abstract: Abstract The (3+1)-dimensional generalized nonlinear Schrodinger equation with variable coefficients (3D-VcgNLSE) and optical lattice is investigated. Bright and dark soliton solutions are presented by two direct ansatz. Two similar solutions are obtained in terms of… read more here.
Keywords: equation variable; variable coefficients; abundant exact; dimensional generalized ... See more keywords
On complex wave solutions depicted by the variable coefficients coupled Hirota equation
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DOI: 10.1016/j.ijleo.2021.167123
Abstract: Abstract In this paper, the variable coefficients coupled Hirota equation is investigated by virtue of the unified method. Playing an important role in optics, the coupled Hirota equation describes the transmission process when high intensity… read more here.
Keywords: coefficients coupled; wave solutions; coupled hirota; variable coefficients ... See more keywords
Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2017.1381336
Abstract: ABSTRACT We present second-order difference schemes for a class of parabolic problems with variable coefficients and mixed derivatives. The solvability, stability and convergence of the schemes are rigorously analysed by the discrete energy method. Using… read more here.
Keywords: coefficients mixed; difference; variable coefficients; mixed derivatives ... See more keywords
Nonautonomous solitons for an extended forced Korteweg-de Vries equation with variable coefficients in the fluid or plasma
Sign Up to like & getrecommendations! Published in 2018 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2017.1356944
Abstract: Abstract Under investigation in this paper is an extended forced Korteweg-de Vries equation with variable coefficients in the fluid or plasma. Lax pair, bilinear forms, and bilinear Bäcklund transformations are derived. Based on the bilinear… read more here.
Keywords: equation variable; variable coefficients; extended forced; vries equation ... See more keywords
Two new integrable modified KdV equations, of third-and fifth-order, with variable coefficients: multiple real and multiple complex soliton solutions
Sign Up to like & getrecommendations! Published in 2019 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2019.1631504
Abstract: ABSTRACT In this work, we develop two new integrable modified KdV equations, of third and fifth orders, with time-dependent coefficients, which can be used to describe many nonlinear phenomena in fluid dynamics and solitary waves… read more here.
Keywords: new integrable; variable coefficients; two new; kdv equations ... See more keywords
On the breathers and rogue waves to a (2+1)-dimensional nonlinear Schrödinger equation with variable coefficients
Sign Up to like & getrecommendations! Published in 2019 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2019.1646944
Abstract: In this paper, we construct new breather wave and rogue wave solutions for the (2+1)-dimensional nonlinear Schrodinger equation (NLS) with variable coefficients by using similarity transformations.... read more here.
Keywords: rogue waves; variable coefficients; waves dimensional; breathers rogue ... See more keywords