Right and Wrong Ansätze for Nonlinear Waves in Stochastic PDEs
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914423652745216 |
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| author | Hamster, C. H. S. |
| author_facet | Hamster, C. H. S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12786 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Right and Wrong Ansätze for Nonlinear Waves in Stochastic PDEs Hamster, C. H. S. Analysis of PDEs 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. |
| title | Right and Wrong Ansätze for Nonlinear Waves in Stochastic PDEs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.12786 |