Stabilization of a one-dimensional wave equation with variable coefficient under non-collocated control and delayed observation
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4654
Abstract: In this paper, we consider stabilization of a 1-dimensional wave equation with variable coefficient where non-collocated boundary observation suffers from an arbitrary time delay. Since input and output are non-collocated with each other, it is… read more here.
Keywords: equation variable; observation; non collocated; equation ... 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
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
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
Numerical strategy for solving the Boltzmann equation with variable E/N using physics-informed neural networks
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Physics D: Applied Physics"
DOI: 10.1088/1361-6463/accbcf
Abstract: A novel strategy to solve the Boltzmann equation with variable reduced electric field E/N by using an artificial neural network (ANN) is introduced, where E is the electric field and N is the gas number… read more here.
Keywords: physics; boltzmann equation; ann; equation variable ... See more keywords
On the Nonlinear Schrödinger Equation with a Variable Damping Term
Sign Up to like & getrecommendations! Published in 2018 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080218090378
Abstract: We consider the L2-critical nonlinear Schrödinger equation with an inhomogeneous damping coefficient a(x). We prove the global existence of the solution in H1(Rd) and we give the minimal time of the blow up for some… read more here.
Keywords: equation variable; dinger equation; nonlinear schr; schr dinger ... See more keywords