Hybrid Ermakov-Ray-Reid/Painlevé II symmetry reduction: application to a class of moving boundary problems

IF 2.2 3区工程技术 Q3 MECHANICS

Meccanica Pub Date : 2026-08-11 DOI:10.1007/s11012-026-02166-8

Colin Rogers, Adriana C. Briozzo

引用次数: 0

Abstract

Here, a class of nonlinear moving boundary problems for a novel extension of a two-component mKdV system is shown to admit exact solution via application of a hybrid Ermakov-Ray-Reid / Painlevé II symmetry ansatz. The mKdV system has its genesis in a reduction of a coupled nonlinear NLS system incorporating deBroglie—Bohm potential terms.

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混合Ermakov-Ray-Reid/ painlev对称约简：在一类移动边界问题上的应用

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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来源期刊

Meccanica 物理-力学

CiteScore

4.70

自引率

3.70%

发文量

151

审稿时长

7 months

期刊介绍： Meccanica focuses on the methodological framework shared by mechanical scientists when addressing theoretical or applied problems. Original papers address various aspects of mechanical and mathematical modeling, of solution, as well as of analysis of system behavior. The journal explores fundamental and applications issues in established areas of mechanics research as well as in emerging fields; contemporary research on general mechanics, solid and structural mechanics, fluid mechanics, and mechanics of machines; interdisciplinary fields between mechanics and other mathematical and engineering sciences; interaction of mechanics with dynamical systems, advanced materials, control and computation; electromechanics; biomechanics. Articles include full length papers; topical overviews; brief notes; discussions and comments on published papers; book reviews; and an international calendar of conferences. Meccanica, the official journal of the Italian Association of Theoretical and Applied Mechanics, was established in 1966.