An application of dual group reductions to the AKNS integrable mKdV model
Wen‐Xiu Ma
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.
Topics & Concepts
Integrable systemDual (grammatical number)Group (periodic table)MathematicsAlgebra over a fieldPure mathematicsMathematical physicsPhysicsQuantum mechanicsArtLiteratureNonlinear Waves and SolitonsNumerical methods for differential equationsNonlinear Photonic Systems