Integrable Matrix Modified Korteweg-de Vries Equations Derived from Reducing AKNS Lax Pairs
Wen‐Xiu Ma
Abstract
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.
Topics & Concepts
Integrable systemPhysicsLax pairKorteweg–de Vries equationMathematical physicsDispersionless equationMatrix (chemical analysis)Kadomtsev–Petviashvili equationQuantum mechanicsPartial differential equationNonlinear systemBurgers' equationComposite materialMaterials scienceNonlinear Waves and SolitonsNonlinear Photonic SystemsQuantum Mechanics and Non-Hermitian Physics