Novel nonlinear quantum dust acoustic waves for modified variable coefficients Zakharove–Kusnetsov equation in dusty plasma
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DOI: 10.1002/mma.10141
Abstract: In this paper, the direct similarity reduction method is used to reduce the modified variable coefficient Zakharove–Kusnetsov equation (vcmZK), which represents the propagation of quantum dust acoustic waves (QDAWs) in an inhomogeneous magnetized dusty plasma… read more here.
Keywords: equation; modified variable; zakharove kusnetsov; variable coefficients ... See more keywords
Well‐Posedness Analysis and Numerics of Boundary‐Domain Integral Equation Systems Equivalent to the Robin Problem for the Helmholtz Equation With Variable Coefficients in Lipschitz Domains
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DOI: 10.1002/mma.10965
Abstract: Given the interior Robin boundary value problem (BVP) for the Helmholtz equation with variable coefficients, we use an appropriate parametrix to derive two boundary‐domain integral equation systems (BDIES) equivalent to the original Robin BVP in… read more here.
Keywords: equation; equation variable; variable coefficients; boundary domain ... See more keywords
Ultraconvergence of high order FEMs for elliptic problems with variable coefficients
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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
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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
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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
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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
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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
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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