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
Solutions of 1-D Dispersive Equation with Time and Space-Fractional Derivatives
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-017-0462-x
Abstract: This paper applied Adomian decomposition method to obtain the solution of fractional third-order dispersive equation with time and space-fractional derivatives. The iterative technique is carried out in a straightforward manner without the need for transforms… read more here.
Keywords: equation time; space fractional; dispersive equation; time space ... See more keywords
The Value Equation: Time for a Rethink!
Sign Up to like & getrecommendations! Published in 2020 at "Arthroplasty Today"
DOI: 10.1016/j.artd.2020.02.019
Abstract: Our healthcare spending is at an all-time high and is projected to consume 19.4% of our gross domestic product by 2027 [1]. As the most commonly performed procedure for Medicare beneficiaries totaling $20 billion in… read more here.
Keywords: care; value equation; value; equation time ... See more keywords
Pullback attractors for a critical degenerate wave equation with time-dependent damping
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DOI: 10.1016/j.nonrwa.2021.103421
Abstract: The aim of this paper is to analyze the long-time dynamical behavior of the solution for a degenerate wave equation with time-dependent damping term $\partial_{tt}u + \beta(t)\partial_tu = \mathcal{L}u(x,t) + f(u)$ on a bounded domain… read more here.
Keywords: equation time; degenerate; time; time dependent ... See more keywords
On the Nonlinear Wave Equation with Time-periodic Potential
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DOI: 10.1093/imrn/rnz014
Abstract: It is known that for some time-periodic potentials $q(t, x) \geq 0$ having compact support with respect to $x$ some solutions of the Cauchy problem for the wave equation $\partial _t^2 u - \Delta _x… read more here.
Keywords: nonlinear wave; time periodic; wave equation; equation ... See more keywords
Wave-equation time migration
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DOI: 10.1190/geo2019-0822.1
Abstract: I show that the first limitation can be removed completely by formulating time migration through wave propagation in image-ray coordinates. The advantage of this approach is that the propagation velocity in image-ray coordinates does not… read more here.
Keywords: equation time; time; time migration; wave equation ... See more keywords
Nabla inequalities and permanence for a logistic integrodifferential equation on time scales
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DOI: 10.1515/math-2017-0133
Abstract: Abstract In this paper, by using the theory of calculus on time scales and some mathematical methods, several nabla dynamic inequalities on time scales are established. As an application, we apply the obtained results to… read more here.
Keywords: equation time; time scales; logistic integrodifferential; time ... See more keywords
The Darboux Transformation and N-Soliton Solutions of Gerdjikov-Ivanov Equation on a Time-Space Scale
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DOI: 10.3390/axioms10040294
Abstract: The Gerdjikov–Ivanov (GI) equation is one type of derivative nonlinear Schrödinger equation used widely in quantum field theory, nonlinear optics, weakly nonlinear dispersion water waves and other fields. In this paper, the coupled GI equation… read more here.
Keywords: time; time space; equation time; equation ... See more keywords
On the Schrödinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain
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DOI: 10.3390/math10020218
Abstract: We study two seminal approaches, developed by B. Simon and J. Kisyński, to the well-posedness of the Schrödinger equation with a time-dependent Hamiltonian. In both cases, the Hamiltonian is assumed to be semibounded from below… read more here.
Keywords: equation time; domain; dinger equation; time dependent ... See more keywords