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WavKinS.jl : an efficient and modular Julia software for solving wave kinetic equations

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arxiv 2504.00252 v1 pith:YIGROL74 submitted 2025-03-31 nlin.CD physics.comp-ph

classification nlin.CDphysics.comp-ph
keywords kineticwavewaveswavkinsalreadyefficientequationsjulia
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This article describes the Wave Kinetic Solver \WavKinSns, a software developed in the Julia language for solving different types of wave kinetic equations in an efficient and modular manner. \WavKinS already solves the wave kinetic equation describing the interaction of waves in several physical systems, such as acoustic waves, Bose-Einstein condensates, internal gravity waves and many others. Thanks to the structures and routines already implemented in \WavKinSns, we expect that developing a new solver for a specific physical system to be straightforward. \WavKinS is an Open Source project distributed with EUPL-1.2 license agreement.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Wave Kinetics and Thermalization in Kadomtsev-Petviashvili-I System

    nlin.CD 2026-07 conditional novelty 7.0 of 10

    The integrable KP-I equation admits a nontrivial wave kinetic equation that thermalizes to generalized Rayleigh-Jeans equilibria via nonlocal spectral transfers, despite integrability.

  2. Universal self-similar evolution of two-dimensional acoustic turbulence in Bose-Einstein condensates

    cond-mat.quant-gas 2026-07 conditional novelty 7.0 of 10

    In 2D acoustic turbulence in Bose-Einstein condensates, the cascade front propagates as k* = k0 exp(sqrt(2βt/τ)) with universal β ≈ 8.9, even with linear damping.

  3. A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D

    math.NA 2025-09 conditional novelty 6.0 of 10

    A piecewise-linear resonant manifold approximation plus midpoint quadrature yields a second-order-accurate, parameterization-free discretization of 2D wave kinetic equations, validated against exact collision integral...

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