Closed-Form Meromorphic Solution to Fractional Whitham–Broer–Kaup System and Its Real-Valued Characterization

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-08-05 DOI:10.1002/mma.70015

Heqing Sun, Yezhou Li, Jian-Guo Liu

引用次数: 0

Abstract

The coupled Whitham–Broer–Kaup system can be used to describe the propagation of shallow water waves in fluid dynamics. In this paper, we investigate the nonlinear conformable fractional-order Whitham–Broer–Kaup system by complex analytic method and obtain plentiful new closed-form meromorphic solutions. These derived meromorphic solutions include rational solutions, simply periodic solutions, and elliptic function solutions. At the same time, we give the real-valued characterizations of such meromorphic solutions and illustrate the dynamic behaviors of these solutions with some graphs.

Abstract Image

查看原文本刊更多论文

分数阶Whitham-Broer-Kaup系统的闭形亚纯解及其实值表征

在流体力学中，耦合的Whitham-Broer-Kaup系统可以用来描述浅水波浪的传播。本文用复解析方法研究了非线性可调分数阶Whitham-Broer-Kaup系统，得到了大量新的闭亚纯解。这些导出的亚纯解包括有理解、简单周期解和椭圆函数解。同时，给出了该类亚纯解的实值刻画，并用图说明了该类亚纯解的动态行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.