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Final patterns and bifurcation analysis of the odd-periodic Swift–Hohenberg equation with respect to the period

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0 Published in 2019 at "Applicable Analysis"

DOI: 10.1080/00036811.2019.1659954

Abstract: ABSTRACT We study the bifurcation analysis of the Swift–Hohenberg equation (SHE) with the odd-periodic condition as period parameter λ moves. Motivated by Peletier and Rottschäfer [Pattern selection of solutions of the Swift–Hohenberg equations. Phys D.… read more here.

Keywords: bifurcation analysis; hohenberg equation; odd periodic; swift hohenberg ... See more keywords

Spatially extended dislocations produced by the dispersive Swift-Hohenberg equation.

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0 Published in 2022 at "Physical review. E"

DOI: 10.1103/physreve.107.044214

Abstract: Motivated by previous results showing that the addition of a linear dispersive term to the two-dimensional Kuramoto-Sivashinsky equation has a dramatic effect on the pattern formation, we study the Swift-Hohenberg equation with an added linear dispersive term,… read more here.

Keywords: equation; hohenberg equation; dispersive swift; swift hohenberg ... See more keywords

An Iterative Method for Time-Fractional Swift-Hohenberg Equation

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0 Published in 2018 at "Advances in Mathematical Physics"

DOI: 10.1155/2018/2405432

Abstract: We study a type of iterative method and apply it to time-fractional Swift-Hohenberg equation with initial value. Using this iterative method, we obtain the approximate analytic solutions with numerical figures to initial value problems, which… read more here.

Keywords: iterative method; time fractional; swift hohenberg; fractional swift ... See more keywords

A Fast and Efficient Numerical Algorithm for the Nonlocal Conservative Swift–Hohenberg Equation

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1 Published in 2020 at "Mathematical Problems in Engineering"

DOI: 10.1155/2020/7012483

Abstract: In this paper, we consider a new Swift–Hohenberg equation, where the total mass of this model is conserved through a nonlocal Lagrange multiplier. Based on the operator splitting method and spectral method, a fast and… read more here.

Keywords: efficient numerical; hohenberg equation; fast efficient; swift hohenberg ... See more keywords

Averaging principles for the Swift-Hohenberg equation

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0 Published in 2020 at "Communications on Pure and Applied Analysis"

DOI: 10.3934/cpaa.2020016

Abstract: This work studies the effects of rapid oscillations (with respect to time) of the forcing term on the long-time behaviour of the solutions of the Swift-Hohenberg equation. More precisely, we establish three kinds of averaging… read more here.

Keywords: swift hohenberg; time; hohenberg equation; principles swift ... See more keywords