Research PapersNo Access

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

Wei Li

http://orcid.org/0000-0002-8239-8109

Department of Computer Science and Technology, East China Normal University, China

E-mail Address: 51174506016@stu.ecnu.edu.cn

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and

Yinping Liu

School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, China

E-mail Address: ypliu@cs.ecnu.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0217984920502218Cited by:12 (Source: Crossref)

Abstract

In this work, by introducing a kind of parameters constraint to ensure that the well known formula of $n$ -soliton solutions works well not only for integrable systems, but also for non-integrable systems. Then for the $(4 + 1)$ -dimensional Fokas equation, based on this constraint and the modified $n$ -soliton solutions, we further construct its different types of higher-order wave solutions, especially new types of interaction solutions.

Keywords:

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