Work

Two Distinct Group Reductions Leading to Integrable Coupled mKdV Models

Year: 2026

Type: book-chapter

Abstract: We aim to explore pairs of distinct group reductions of the Ablowitz–Kaup–Newell–Segur matrix spectral problem that lead to integrable coupled modified Korteweg–de Vries (mKdV) models. Specifically, we formulate three representative group reduction schemes, each resulting in the derivation of new integrable coupled mKdV systems. This analysis not only introduces novel examples of integrable models but also provides fresh insights into the classification of third-order integrable equations.

Source: Qualitative Theory of Dynamical Systems

DOI: 10.1007/s12346-026-01516-x

Author: Wen-Xiu Ma

Institutions: Khazar University, Zhejiang Normal University, University of South Florida, North-West University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funders: National Natural Science Foundation of China, North-West University