An application of dual group reductions to the AKNS integrable mKdV model

This work aims to explore coupled integrable modified Kortewegde Vries (mKdV) models through the framework of the Ablowitz-Kaup-Newell-Segur (AKNS) matrix spectral problem. By proposing and applying a set of dual group reductions, we derive reduced matrix integrable mKdV models. The results yield new examples of integrable models and offer valuable insights into the classification of mKdV type integrable models.

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Publication Details

Journal
Modern Physics Letters B
Published
2025-07-26
DOI
https://doi.org/10.1142/s0217984925502331
Citations
12
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
15.88
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article

An application of dual group reductions to the AKNS integrable mKdV model

Wen‐Xiu Ma
12 citations
Modern Physics Letters B
Nonlinear Waves and Solitons
15.88
article

An application of dual group reductions to the AKNS integrable mKdV model

Wen‐Xiu Ma
article en
12 citations

Abstract

This work aims to explore coupled integrable modified Kortewegde Vries (mKdV) models through the framework of the Ablowitz-Kaup-Newell-Segur (AKNS) matrix spectral problem. By proposing and applying a set of dual group reductions, we derive reduced matrix integrable mKdV models. The results yield new examples of integrable models and offer valuable insights into the classification of mKdV type integrable models.

Modern Physics Letters BVol. 39(35)
Zhejiang Normal University (CN), King Abdulaziz University (SA), University of South Florida (US), North-West University (ZA)
Openalex Percentile: Top 1%
Nonlinear Waves and Solitons
15.88
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