PreprintarXiv licencearXiv
An exact traveling waves solution for a special class of semilinear equations
Abstract
We construct exact traveling-wave solutions for a semilinear parabolic equation with a specific nonlinearity. This nonlinearity arises, in particular, in voting models based on branching Brownian motion. Previously known results are special cases of those presented here.
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BibTeX
@misc{dekhnich2026exact,
title = {{An exact traveling waves solution for a special class of semilinear equations}},
author = {Kirill A. Dekhnich},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03974},
eprint = {2609.03974},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03974},
}
RIS
TY - UNPB
TI - An exact traveling waves solution for a special class of semilinear equations
AU - Kirill A. Dekhnich
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.03974
UR - https://arxiv.org/abs/2609.03974
AB - We construct exact traveling-wave solutions for a semilinear parabolic equation with a specific nonlinearity. This nonlinearity arises, in particular, in voting models based on branching Brownian motion. Previously known results are special cases of those presented here.
ER -