Real Reduced Matrix mKdV Integrable Hierarchies Under Two Local Group Reductions

Real Reduced Matrix mKdV Integrable Hierarchies Under Two Local Group Reductions

Year:    2024

Author:    Wen-Xiu Ma

East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 2 : pp. 281–292

Abstract

We propose a kind of reduced Ablowitz-Kaup-Newell-Segur matrix spectral problems under two local group reductions by similarity transformations. Associated integrable hierarchies of matrix mKdV type integrable models are presented, which amend the complex matrix mKdV integrable hierarchies. Zero curvature equations are key objects in generating integrable models.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.2022-310.300623

East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 2 : pp. 281–292

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    AKNS matrix spectral problem integrable hierarchy zero curvature equation.

Author Details

Wen-Xiu Ma

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    Ma, Wen-Xiu

    Chaos, Solitons & Fractals, Vol. 188 (2024), Iss. P.115580

    https://doi.org/10.1016/j.chaos.2024.115580 [Citations: 0]