Tzitzeica-Dodd-Bullogh方程的非局部对称性、非局部相关系统、相似解和守恒律

IF 1.8 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

EPL Pub Date : 2023-11-07 DOI:10.1209/0295-5075/ad0a3f

. Vinita, Santanu Saha Ray

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引用次数: 0

摘要

摘要本文提出了一种识别(1+1)维Tzitzeica-Dodd-Bullogh方程非局部对称性的方法首先，通过引入一组与局部李点对称对应的正则坐标，将所考虑的偏微分方程(PDE)映射到一个可逆等价的PDE系统。进一步，从可逆等效PDE系统的逆势系统得到了非局部对称性。利用与容许点对称性相对应的扩展广义Kudryashov方法获得了上述PDE的精确解。此外，利用基于对称的技术和局部守恒原理，构造了非局部关联PDE系统的完整树。此外，通过乘数法推导了Tzitzeica-Dodd-Bullogh方程的局部守恒定律。

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Nonlocal symmetries, nonlocally related systems, similarity solutions and conservation laws of Tzitzeica-Dodd-Bullogh equation

Abstract In this paper, a methodical procedure is proposed for the identification of nonlocal symmetriesof the (1+1)-dimensional Tzitzeica-Dodd-Bullogh equation. Firstly, by introducing a setof canonical coordinates corresponding to the local Lie point symmetries, the considered partialdifferential equation (PDE) is mapped to an invertibly equivalent PDE system. Furthermore,nonlocal symmetries are obtained from the inverse potential system of the invertibly equivalentPDE system. The exact solutions for the aforementioned PDE are acquired with the help of theextended generalized Kudryashov method corresponding to the admitted point symmetries. Inaddition, using a symmetry-based technique and local conservation principles, a complete tree ofnonlocally associated PDE systems has been constructed. Additionally, the derivation of localconservation laws for the Tzitzeica-Dodd-Bullogh equation is obtained through the multipliermethod.

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来源期刊

EPL 物理-物理：综合

CiteScore

3.30

自引率

5.60%

发文量

332

审稿时长

1.9 months

期刊介绍： General physics – physics of elementary particles and fields – nuclear physics – atomic, molecular and optical physics – classical areas of phenomenology – physics of gases, plasmas and electrical discharges – condensed matter – cross-disciplinary physics and related areas of science and technology. Letters submitted to EPL should contain new results, ideas, concepts, experimental methods, theoretical treatments, including those with application potential and be of broad interest and importance to one or several sections of the physics community. The presentation should satisfy the specialist, yet remain understandable to the researchers in other fields through a suitable, clearly written introduction and conclusion (if appropriate). EPL also publishes Comments on Letters previously published in the Journal.