双分量杜林-戈特沃尔德-霍尔姆系统精确行波解的分类

IF 1.9 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2024-06-27 DOI:10.1007/s12043-024-02787-2

Lintao Guo, Hua Xin

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引用次数: 0

摘要

本研究利用直接积分法和多项式法的完全判别系统，得到了双分量 Dullin-Gottwald-Holm (DGH2) 系统的所有行波解，包括孤波解、奇异周期解和雅各布椭圆函数双周期解。初步给出了其中一些解。此外，还给出了具体的例子，以确保可以实现多种解，并给出了相应的数字以显示其性质。这意味着论文中的每个解都可能反映相应的自然现象，如潮汐波和海啸波。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

The classification of exact travelling wave solutions to two-component Dullin–Gottwald–Holm system

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The classification of exact travelling wave solutions to two-component Dullin–Gottwald–Holm system

In this study, by making use of the direct integral method and the complete discrimination system for the polynomial method, all the travelling wave solutions to the two-component Dullin–Gottwald–Holm (DGH2) system are obtained, including solitary wave solutions, singular periodic solutions and Jacobian elliptic function double periodic solutions. Some of them are initially given. Moreover, concrete examples are presented to make sure that several solutions can be realised, and the corresponding figures are also given to show their nature. This means every solution in the paper may reflect the corresponding natural phenomenon, such as tidal waves and tsunami waves.

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来源期刊

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.