From the Kadomtsev-Petviashvili equation halfway to Ward's chiral model

TL;DR

This paper explores the connection between Ward's chiral model and the matrix KP equation, demonstrating how solution techniques from KP can generate complex lump solutions for the chiral model.

Contribution

It introduces a new example of lump solutions for Ward's chiral model derived via the dispersionless limit of the matrix KP equation.

Findings

Lump solutions with complex interaction patterns are constructed.

Solution techniques from KP are applicable to Ward's chiral model.

The relation simplifies the generation of solutions for the chiral model.

Abstract

The "pseudodual" of Ward's modified chiral model is a dispersionless limit of the matrix Kadomtsev-Petviashvili (KP) equation. This relation allows to carry solution techniques from KP over to the former model. In particular, lump solutions of the su(m) model with rather complex interaction patterns are reached in this way. We present a new example.