Pith. sign in

REVIEW 1 cited by

An analytical proof for the stability of Heimburg-Jackson pulses

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1303.5941 v1 pith:O5U5SQOM submitted 2013-03-24 math.AP

Heinrich Freistühler , Johannes Höwing This is my paper · ORCID
classification math.AP
keywords wavesboussinesqequationstabilityanalyticalanalyticallybelongscertain
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

This paper studies analytically the stability of solitary waves in a generalized Boussinesq equation with quadratic-cubic nonlinearity. For general values of two parameters a and b determining the system, unstable waves may occur. If however, as in a situation for which this Boussinesq equation was recently proposed as a model for pulse propagation in nerves, (a,b) belongs to a certain natural regime, then all possible waves are stable.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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

  1. Lambert W-kink Solitons Arising from Higher-Order Nonlinearities of Lipid Membranes

    physics.bio-ph 2025-07 reject novelty 4.0 of 10

    The paper's Lambert W-kink solution does not satisfy its stated governing ODE, so the central claim of new solitons fails.

Pith tools