4 papers
Rogue-wave and lump patterns associated with the third Painlevé equation
Bo Yang, Bo yang, Jianke Yang
We report rogue-wave and lump patterns associated with Umemura polynomials, which arise in rational solutions of the third Painlevé equation. We first show that in many integrable…
Spatially-bounded rogue waves in the Davey-Stewartson I equation
Bo Yang, Jianke Yang
Spatially-bounded rogue waves, i.e., rogue waves that arise in a limited region of a multi-dimensional space, are interesting and important from both theoretical and applied points…
Triangular rogue clusters associated with multiple roots of Adler--Moser polynomials in integrable systems
Bo Yang, Jianke Yang
Rogue patterns associated with multiple roots of Adler--Moser polynomials under general multiple large parameters are studied in integrable systems. It is first shown that the mult…
Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation
Bo Yang, Jianke Yang
Large-time patterns of general higher-order lump solutions in the KP-I equation are investigated. It is shown that when the index vector of the general lump solution is a sequence…