New methods to solve the resonant nonlinear Schrödinger’s equation with time-dependent coefficients
Sign Up to like & getrecommendations! Published in 2017 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-017-1152-y
Abstract: In this study, the generalized $$\tan (\phi /2)$$tan(ϕ/2)-expansion method and He’s semi-inverse variational method (HSIVM) are applied to seek the exact solitary wave solutions for the resonant nonlinear Schrödinger equation with time-dependent coefficients. Using these… read more here.
Keywords: equation time; dinger equation; time dependent; dependent coefficients ... See more keywords
Blow-up and life span estimates for a class of nonlinear degenerate parabolic system with time-dependent coefficients
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(17)30052-8
Abstract: Abstract This paper deals with the singularity and global regularity for a class of nonlinear porous medium system with time-dependent coefficients under homogeneous Dirichlet boundary conditions. First, by comparison principle, some global regularity results are… read more here.
Keywords: time; class nonlinear; time dependent; dependent coefficients ... See more keywords
Stability and numerical analysis of backward problem for subdiffusion with time-dependent coefficients
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DOI: 10.1088/1361-6420/acb007
Abstract: Our aim is to study the backward problem, i.e. recover the initial data from the terminal observation, of the subdiffusion with time dependent coefficients. First of all, by using the smoothing property of solution operators… read more here.
Keywords: problem; time; time dependent; dependent coefficients ... See more keywords
The Inverse Problem of Simultaneous Determination of the Two Lower Space-Dependent Coefficients in a Parabolic Equation
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DOI: 10.1134/s0001434619070277
Abstract: Existence and uniqueness theorems for the solution of the inverse problem of simultaneous determination of x-dependent coefficients at u and ux in a nondivergent parabolic equation from integral observation are obtained. Estimates of the maximum… read more here.
Keywords: problem simultaneous; simultaneous determination; problem; parabolic equation ... See more keywords