构造(1+1)维可积时变浅水波动方程的解族

IF 1.2 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

Romanian Journal of Physics Pub Date : 2023-09-15 DOI:10.59277/romjphys.2023.68.112

ZHOU-ZHENG KANG, RONG-CAO YANG

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引用次数: 0

摘要

本文考虑了(1+1)维的具有时变系数的可积浅水波动方程。利用广义三波方法，借助于符号计算，给出了所考虑方程的一系列(双)孤波解和周期(孤波)解。此外，通过指定相关函数和参数，以图形形式显示了一些解的局部结构。这些结果丰富了物理学中非线性波的多样性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Constructing Families of Solutions to an Integrable Time-Dependent Shallow Water Wave Equation in (1+1)-Dimensions

In this paper, an integrable shallow water wave equation with timedependent coefficients in (1+1)-dimensions is taken into account. Through employing the generalized three-wave methods, a series of (double) solitary wave solutions and periodic (solitary) wave solutions to the considered equation are presented with the aid of symbolic calculation. Furthermore, by specifying relevant functions and parameters, the localized structures of some resulting solutions are displayed via some figures. These results enrich the diversity of nonlinear waves in physics.

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来源期刊

Romanian Journal of Physics 物理-物理：综合

CiteScore

2.30

自引率

26.70%

发文量

审稿时长

4-8 weeks

期刊介绍： Romanian Journal of Physics was first published in 1992 as a continuation of the former Revue Roumaine de Physique (ISSN: 0035-4090), a journal publishing physics and engineering scientific papers established 1956 with deep roots in the early history of the modern Romanian physics. Romanian Journal of Physics is a journal of the Romanian Academy published by Editura Academiei Romane (eA). The journal has an international character intended for the publication of original physics contributions from various sub-fields including the following: -Theoretical Physics & Applied Mathematics -Nuclear Physics -Solid State Physics & Materials Science -Statistical Physics & Quantum Mechanics -Optics -Spectroscopy -Plasma & Laser Physics -(High Energy) Elementary Particles Physics -Atomic and Molecular Physics -Astrophysics -Atmosphere (Environmental) & Earth Science -Environmental Protection