Integrable mKdV Models as Reductions of AKNS Integrable Systems via Dual Similarity Transformations
Abstract
This paper explores integrable modified Korteweg-de Vries (mKdV) models using dual similarity transformations. Two representative examples involving distinct similarity transformations are presented, along with their corresponding reduced Ablowitz-Kaup-Newell-Segur matrix spectral problems. These examples illustrate how reduced matrix mKdV integrable models can be systematically generated through such transformations.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Algebraic structures and combinatorial models
Matrix Theory and Algorithms
Publication details
- Journal / source
- East Asian Journal on Applied Mathematics
- Publisher
- Global Science Press
- Volume
- 16
- Issue
- 4
- Pages
- 836–848
- Publication date
- 24 February 2026