Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions

Wen-Xiu Ma ()
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Wen-Xiu Ma: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2025, vol. 13, issue 9, 1-10

Abstract: This paper applies a pair of identical group reductions or similarity transformations to formulate integrable models. An application to the Ablowitz–Kaup–Newell–Segur (AKNS) matrix spectral problems leads to reduced matrix modified Korteweg–de Vries (mKdV) integrable hierarchies. In particular, several illustrative examples of reduced matrix mKdV integrable models are derived from the reduced AKNS matrix spectral problems.

Keywords: integrable hierarchy; lax pair; AKNS matrix spectral problem; zero-curvature equation; group reduction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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