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Amplitude equations and pattern selection in Faraday waves

Nonlinear Sciences – Pattern Formation and Solitons
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Amplitude equations for a linear wave equation in a weakly curved pipe

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Amplitude equations for coupled electrostatic waves in the limit of weak instability

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Amplitude equations near pattern forming instabilities for strongly driven ferromagnets

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Amplitude Expansions for Instabilities in Populations of Globally-Coupled Oscillators

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Amplitude measurements of Faraday waves

Nonlinear Sciences – Pattern Formation and Solitons
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An analytical stability theory for Faraday waves and the observation of the harmonic surface response

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An Analytical Study in Coupled Map Lattices of Synchronized States and Travelling Waves, and of their Period-Doubling Cascades

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An envelope-function approach for a one-dimensional photonic crystal containing single negative materials

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An instability criterion for nonlinear standing waves on nonzero backgrounds

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An integrable shallow water equation with peaked solitons

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Analysis of Optimal Velocity Model with Explicit Delay

Nonlinear Sciences – Pattern Formation and Solitons
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Analysis of spatial emission structures in vertical-cavity surface-emitting lasers with feedback of a volume Bragg grating

Nonlinear Sciences – Pattern Formation and Solitons
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Analysis of supercontinuum generation under general dispersion characteristics and beyond the slowly varying envelope approximation

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Analytic considerations in the study of spatial patterns arising from non-local interaction effects in population dynamics

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Analytic doubly periodic wave patterns for the integrable discrete nonlinear Schroedinger (Ablowitz-Ladik) model

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Analytic model for a frictional shallow-water undular bore

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Analytic solitary waves of nonintegrable equations

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Analytic solutions for nonlinear waves in coupled reacting systems

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Analytic structure of the four-wave mixing model in photorefractive materials

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