4 papers
Long-time asymptotics for the focusing coupled Kundu-Eckhaus equation
Tianwei Qiu, Zhen Wang
The focusing coupled Kundu-Eckhaus (CKE) equation extends the coupled nonlinear Schrödinger (CNLS) equation by adding quintic and derivative nonlinearities. We study the Cauchy pro…
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…
A generalized long-wave limit method with spectral perturbations
Tianwei Qiu, Zhen Wang
We develop a generalized long-wave limit method for constructing higher-order (degenerate) lump solutions of -dimensional integrable systems. Starting from the multi-soliton…
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…