2 papers
math-ph2020
On the singularities of the discrete Korteweg-deVries equation
Doyong Um, Alfred Ramani, Basil Grammaticos +2
We study the structure of singularities in the discrete Korteweg-deVries (d-KdV) equation. Four different types of singularities are identified. The first type corresponds to local…
math-ph2019
On the singularity structure of the discrete KdV equation
Doyong Um, Ralph Willox, Basil Grammaticos +1
The discrete KdV (dKdV) equation, the pinnacle of discrete integrability, is often thought to possess the singularity confinement property because it confines on an elementary quad…