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arXiv · 2508.12786

Right and Wrong Ans\"atze for Nonlinear Waves in Stochastic PDEs

C. H. S. Hamster
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Abstract

I investigate the possibility that explicit solutions of stochastic reaction-diffusion equations can be found by multiplying the deterministic travelling waves with a stochastic exponent. This approach has become widespread in the literature in recent years. I will conclude that this approach is, in general, not a valid Ansatz and only works in the case of NLS-type equations in the Stratonovich interpretation.

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C. H. S. Hamster. 2025-08-18. Right and Wrong Ans\"atze for Nonlinear Waves in Stochastic PDEs. https://arxiv.org/abs/2508.12786

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