变系数非局部Hirota方程的Darboux变换、无穷守恒定律和精确解

IF 1.5 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Chinese Physics B Pub Date : 2023-09-06 DOI:10.1088/1674-1056/acf703

Jinzhou Liu, Xinying Yan, Meng Jin, Xiangpeng Xin

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引用次数: 0

摘要

本文给出了一类变系数非局部Hirota方程的构造及其达布变换。利用零种子解，通过Darboux变换构造了方程的1-孤子解和2-孤子解，并给出了n -孤子解的表达式。通过选择不同的系数函数，研究了系数函数对解的影响，并对解的动力学特性进行了分析。本文首次利用Lax对构造无限守恒律，并将其推广到非局部方程。非局部方程无穷守恒律的研究对非局部方程的可积性具有重要意义。

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Darboux transformation, Infinite conservation laws and Exact solutions for nonlocal Hirota equation with variable coefficient

This article presents the construction of a nonlocal Hirota equation with variable coefficient and its Darboux transformation. Using zero-seed solutions, 1-soliton and 2-soliton solutions of the equation are constructed through the Darboux transformation, along with the expression for N-soliton solutions. The influence of coefficient functions on the solutions is investigated by choosing different coefficient functions, and the dynamics of the solutions are analyzed. For the first time, this article utilizes the Lax pair to construct infinite conservation laws and extends it to nonlocal equations. The study of infinite conservation laws for nonlocal equations holds significant implications for the integrability of nonlocal equations.

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来源期刊

Chinese Physics B 物理-物理：综合

CiteScore

2.80

自引率

23.50%

发文量

15667

审稿时长

2.4 months

期刊介绍： Chinese Physics B is an international journal covering the latest developments and achievements in all branches of physics worldwide (with the exception of nuclear physics and physics of elementary particles and fields, which is covered by Chinese Physics C). It publishes original research papers and rapid communications reflecting creative and innovative achievements across the field of physics, as well as review articles covering important accomplishments in the frontiers of physics. Subject coverage includes: Condensed matter physics and the physics of materials Atomic, molecular and optical physics Statistical, nonlinear and soft matter physics Plasma physics Interdisciplinary physics.