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The dynamics of vortex lines in the three-dimensional complex Ginzburg-Landau equation: instability, stretching, entanglement, and helices

Nonlinear Sciences – Pattern Formation and Solitons
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The effect of a cutoff on pushed and bistable fronts of the reaction diffusion equation

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The effective surface roughness scaling of the gelation surface pattern formation

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The emergence of a coherent structure for coherent structures: localized states in nonlinear systems

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The Exactly Solvable Simplest Model for Queue Dynamics

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The Fascinating World of Landau-Lifshitz-Gilbert Equation: An Overview

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The Fermi-Pasta-Ulam "numerical experiment": history and pedagogical perspectives

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The Fermi-Pasta-Ulam problem: periodic orbits, normal forms and resonance overlap criteria

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The formation of labyrinths, spots and stripe patterns in a biochemical approach to cardiovascular calcification

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The geometry of spontaneous spiking in neuronal networks

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The higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions

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The homotopy analysis method and the Lienard equation

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The Korteweg-de Vries Hierarchy and Long Water-Waves

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The large core limit of spiral waves in excitable media: A numerical approach

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The macro-behavior of agents' opinion under the influence of an external field

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The Mathematical Modelling of Inhomogeneities in Ventricular Tissue

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The method for solving the KdV-equation

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The method of moments for Nonlinear Schrodinger Equations: Theory and Applications

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The moment method in general Nonlinear Schrodinger Equations

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The myth about nonlinear differential equations

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