A super extension of the Geng–Xue system

Based on a 4 × 4 spectral problem, a super Geng–Xue (sGX) system is proposed. We obtain the bi-Hamiltonian structure and infinitely many conserved quantities for the sGX system. With the aid of a reciprocal transformation, we connect the sGX system with the first negative flow in a super Boussinesq hierarchy.

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Publication Details

Journal
Journal of Mathematical Physics
Published
2025-05-01
DOI
https://doi.org/10.1063/5.0222834
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.00

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article

A super extension of the Geng–Xue system

Nianhua Li, Hongmin Li
Journal of Mathematical Physics
Nonlinear Waves and Solitons
article

A super extension of the Geng–Xue system

Nianhua Li, Hongmin Li
article en

Abstract

Based on a 4 × 4 spectral problem, a super Geng–Xue (sGX) system is proposed. We obtain the bi-Hamiltonian structure and infinitely many conserved quantities for the sGX system. With the aid of a reciprocal transformation, we connect the sGX system with the first negative flow in a super Boussinesq hierarchy.

Journal of Mathematical PhysicsVol. 66(5)
Huaqiao University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 92%
Nonlinear Waves and Solitons
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A super extension of the Geng–Xue system — Nianhua Li, Hongmin Li · Journal of Mathematical Physics (2025) | TGRS Research Map | TGRS