Analysis shows how reductions of Lax pairs produce diverse modified korteweg-de vries equations, suggesting new integrable hierarchies.
This paper aims to reduce Lax pairs of AKNS matrix spectral problems using pairs of group reductions or similarity transformations. The corresponding modified Korteweg-de Vries matrix integrable hierarchies are obtained from the reduced Lax pairs, amending the standard AKNS integrable hierarchies. A few exemplary cases are analyzed and computed to demonstrate the diversity of modified Korteweg-de Vries matrix integrable equations.
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Wen‐Xiu Ma (2025) studied this question.
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