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.

中文翻译：

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为 (4 + 1) 维 Fokas 方程构造任意高阶的团块、呼吸器和相互作用解

在这项工作中，通过引入一种参数约束来确保众所周知的公式[公式：见正文]-孤子解不仅适用于可积系统，而且适用于不可积系统。然后对于[公式：见文]-维Fokas方程，基于该约束和修正的[公式：见文]-孤子解，我们进一步构造其不同类型的高阶波解，尤其是新型相互作用解.