Positive Solutions for Nonlocal Extended Fisher–Kolmogorov and Swift–Hohenberg Equations
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DOI: 10.1007/s00009-021-01709-5
Abstract: In this paper we study the existence of positive solutions for a class of nonlocal fourth-order nonautonomous differential equations which can be seen as generalization of extended Fisher-Kolmogorov and Swift-Hohenberg equations. The main result is… read more here.
Keywords: fisher kolmogorov; swift hohenberg; extended fisher; positive solutions ... See more keywords
Analytical solution of non-linear fractional order Swift-Hohenberg equations
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DOI: 10.1016/j.asej.2020.11.019
Abstract: Abstract In this paper, we find approximate analytical solutions to fractional order “Swift-Hohenberg equations” by using Laplace Adomian decomposition method (LADM). With the help of the this method, we investigate various types of problems involving… read more here.
Keywords: swift hohenberg; order swift; order; fractional order ... See more keywords
Local control of globally competing patterns in coupled Swift-Hohenberg equations.
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DOI: 10.1063/1.5018139
Abstract: We present analytical and numerical investigations of two anti-symmetrically coupled 1D Swift-Hohenberg equations (SHEs) with cubic nonlinearities. The SHE provides a generic formulation for pattern formation at a characteristic length scale. A linear stability analysis… read more here.
Keywords: different patterns; hohenberg equations; coupled swift; swift hohenberg ... See more keywords