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   Articles with "gordon equations" as a keyword



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Asymptotic profile of solutions for strongly damped Klein‐Gordon equations

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recommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5508

Abstract: We consider the Cauchy problem in the whole space for strongly damped Klein-Gordon equations. We derive asymptotic profles of solutions with weighted initial data by a simple method introduced by R. Ikehata. The obtained results… read more here.

Keywords: profile solutions; strongly damped; klein gordon; asymptotic profile ... See more keywords
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A linearized high-order Galerkin finite element approach for two-dimensional nonlinear time fractional Klein-Gordon equations

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recommendations! Published in 2020 at "Numerical Algorithms"

DOI: 10.1007/s11075-020-00978-7

Abstract: In this paper, we propose a linearized finite element method for solving two-dimensional fractional Klein-Gordon equations with a cubic nonlinear term. The employed time discretization is a weighted combination of the L2 − 1σ formula… read more here.

Keywords: finite element; fractional klein; time; klein gordon ... See more keywords
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Remarks on some dissipative sine-Gordon equations

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recommendations! Published in 2019 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2019.1597069

Abstract: ABSTRACT In this short note, we discuss some results concerning the long-time behaviour of solutions to dissipative sine-Gordon equation in a bounded domain of . We first prove that without forcing term and under some… read more here.

Keywords: sine gordon; equations remarks; equation; dissipative sine ... See more keywords
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Numerical Analysis of the Klein-Gordon Equations by Using the New Iteration Transform Method

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recommendations! Published in 2021 at "Journal of Function Spaces"

DOI: 10.1155/2021/1559934

Abstract: This paper presents an analysis based on a mixture of the Laplace transform and the new iteration method to obtain new approximate results of the fractional-order Klein-Gordon equations in the Caputo-Fabrizio sense. So, a general… read more here.

Keywords: analysis; method; klein gordon; new iteration ... See more keywords

Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities

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recommendations! Published in 2023 at "Open Mathematics"

DOI: 10.1515/math-2022-0584

Abstract: Abstract In this article, we investigate the Cauchy problem for Klein-Gordon equations with combined power-type nonlinearities. Coefficients in the nonlinearities depend on the space variable. They are sign preserving functions except one of the coefficients,… read more here.

Keywords: nonexistence global; klein gordon; power type; gordon equations ... See more keywords
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Perturbative Treatment of the Non-Linear q-Schrödinger and q-Klein-Gordon Equations

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recommendations! Published in 2017 at "Entropy"

DOI: 10.3390/e19010021

Abstract: Interesting non-linear generalization of both Schrodinger’s and Klein–Gordon’s equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There is much current activity going… read more here.

Keywords: treatment non; non linear; klein gordon; perturbative treatment ... See more keywords