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Modulation Equation for the Stochastic Swift–Hohenberg Equation with Cubic and Quintic Nonlinearities on the Real Line

https://doi.org/10.3390/math7121217
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf03167476openalex-snapshot
Rigorous numerics for localized patterns to the quintic Swift-Hohenberg equation
inferredcites →https://doi.org/10.1007/s00033-013-0371-8openalex-snapshot
Amplitude equation for the generalized Swift–Hohenberg equation with noise
inferredcites →https://doi.org/10.1007/s00220-005-1368-8openalex-snapshot
Modulation Equations: Stochastic Bifurcation in Large Domains
inferredcites →https://doi.org/10.1016/0167-2789(96)00077-2openalex-snapshot
Stable localized solutions of arbitrary length for the quintic Swift-Hohenberg equation
inferredcites →https://doi.org/10.1016/j.physleta.2006.08.072openalex-snapshot
Snakes and ladders: Localized states in the Swift–Hohenberg equation
inferredcites →https://doi.org/10.1017/jfm.2013.77openalex-snapshot
Travelling convectons in binary fluid convection
inferredcites →https://doi.org/10.1017/s0022112006000759openalex-snapshot
Spatially localized binary-fluid convection
inferredcites →https://doi.org/10.1017/s0022112010004623openalex-snapshot
Convectons, anticonvectons and multiconvectons in binary fluid convection
inferredcites →https://doi.org/10.1017/s0308210500020989openalex-snapshot
The validity of modulation equations for extended systems with cubic nonlinearities
inferredcites →https://doi.org/10.1063/1.3439672openalex-snapshot
Spatially localized binary fluid convection in a porous medium
inferredcites →https://doi.org/10.1063/1.3626405openalex-snapshot
Homoclinic snaking of localized states in doubly diffusive convection
inferredcites →https://doi.org/10.1080/17442508.2011.624628openalex-snapshot
Amplitude equations for SPDEs with cubic nonlinearities
inferredcites →https://doi.org/10.1103/physreva.15.319openalex-snapshot
Hydrodynamic fluctuations at the convective instability
inferredcites →https://doi.org/10.1103/physrevlett.98.230601openalex-snapshot
Additive Global Noise Delays Turing Bifurcations
inferredcites →https://doi.org/10.1103/revmodphys.65.851openalex-snapshot
Pattern formation outside of equilibrium
inferredcites →https://doi.org/10.1137/080724344openalex-snapshot
Modulated and Localized States in a Finite Domain
inferredcites →https://doi.org/10.1137/100782747openalex-snapshot
To Snake or Not to Snake in the Planar Swift–Hohenberg Equation
inferredcites →https://doi.org/10.1137/110846336openalex-snapshot
Modulation Equation for Stochastic Swift--Hohenberg Equation
inferredcites →https://doi.org/10.1209/0295-5075/84/34003openalex-snapshot
Additive noise may change the stability of nonlinear systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Eckhaus instability of stationary patterns in hyperbolic reaction–diffusion models on large finite domains
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Stochastic soliton solutions in birefringent fibers: Analysis of the Biswas–Arshad equation with multiplicative white noise
inferred← citeshttps://doi.org/10.1016/j.ijleo.2023.171140openalex-snapshot
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Exact solutions for the system of stochastic equations for the ion sound and Langmuir waves
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Optical solitons of stochastic perturbed Radhakrishnan–Kundu–Lakshmanan model with Kerr law of self-phase-modulation
inferred← citeshttps://doi.org/10.1142/s0219887822501493openalex-snapshot
Chiral solitons of (2+1)-dimensional stochastic chiral nonlinear Schrödinger equation
inferred← citeshttps://doi.org/10.1155/2022/5083784openalex-snapshot
The Analytical Solutions of the Stochastic Fractional Kuramoto–Sivashinsky Equation by Using the Riccati Equation Method
inferred← citeshttps://doi.org/10.1515/math-2022-0012openalex-snapshot
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inferred← citeshttps://doi.org/10.1515/phys-2020-0220openalex-snapshot
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Analysis of stochastic solitary wave solutions, bifurcation behavior, and modulation instability in the stochastic breaking soliton equation
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The solitary wave solutions of the stochastic Heisenberg ferromagnetic spin chain equation using two different analytical methods
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Exact Solutions of the (2+1)-Dimensional Stochastic Chiral Nonlinear Schrödinger Equation
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Impact of Brownian Motion on the Analytical Solutions of the Space-Fractional Stochastic Approximate Long Water Wave Equation
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The exact solutions of the fractional-stochastic Fokas-Lenells equation in optical fiber communication
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Study of optical stochastic solitons of Biswas-Arshed equation with multiplicative noise
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