3 papers
nlin.SI2026
Novel lump solutions of the modified Kadomtsev-Petviashvili-I equation
Tianwei Qiu, Zhen Wang
We construct novel higher-order lump solutions of the modified Kadomtsev-Petviashvili-I (mKP-I) equation by applying the generalized long-wave limit method with spectral perturbati…
nlin.SI2026
A generalized long-wave limit method with spectral perturbations
Tianwei Qiu, Zhen Wang
A generalized long-wave limit method that introduces spectral perturbations into the long-wave limit framework is proposed for constructing higher-order lump solutions. Within a un…
math.NT2026
The Fontaine operator at cusps of modular curves at infinite level
Tian Qiu
We explicitly calculate Pan's geometric intertwining operator and the Fontaine operator on modular curves at infinite level via -expansions, using Heuer's theory of cusps at inf…