New symmetry reduction method for (1+1)-dimensional differential-difference equations

Jielin Lyu; Kaizhong Shi; Bo Ren; Yongyang Jin

doi:10.3389/fphy.2023.1237805

Frontiers in Physics (Jul 2023)

New symmetry reduction method for (1+1)-dimensional differential-difference equations

Jielin Lyu,
Kaizhong Shi,
Bo Ren,
Yongyang Jin

Affiliations

Jielin Lyu: School of Continuing Education, Zhejiang Business College, Hangzhou, China
Kaizhong Shi: Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, China
Bo Ren: Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, China
Yongyang Jin: Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, China

DOI: https://doi.org/10.3389/fphy.2023.1237805
Journal volume & issue: Vol. 11

Abstract

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We propose a new symmetry reduction method for (1+1)-dimensional differential-difference equations (DDEs), namely, the λ-symmetry reduction method of solving ordinary differential equations is generalized to DDEs. Order-reduction processes are a consequence of the invariance of the given DDE under vector fields of the new class. These vector fields satisfy a new prolongation formula. A simple example of order-reduction is provided to illustrate the application.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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