To construct lumps, breathers and interaction solutions of arbitrary higher-order for a (4 + 1)-dimensional Fokas equation

Abstract

In this work, by introducing a kind of parameters constraint to ensure that the well known formula of [Formula: see text]-soliton solutions works well not only for integrable systems, but also for non-integrable systems. Then for the [Formula: see text]-dimensional Fokas equation, based on this constraint and the modified [Formula: see text]-soliton solutions, we further construct its different types of higher-order wave solutions, especially new types of interaction solutions.