A six-component integrable hierarchy and its Hamiltonian formulation
Wen‐Xiu Ma
Abstract
The aim of this paper is to construct a six-component integrable hierarchy associated with a matrix spatial spectral problem of arbitrary order. The adopted method is the zero curvature formulation. The corresponding Hamiltonian formulation is furnished by using the trace identity, which guarantees the Liouville integrability for the resulting hierarchy. Two illustrative examples of integrable equations of lower orders are six-component coupled nonlinear Schrödinger equations and modified Korteweg–de Vries equations.
Topics & Concepts
Integrable systemHamiltonian (control theory)HierarchyCurvatureMathematicsNonlinear systemComponent (thermodynamics)TRACE (psycholinguistics)Mathematical physicsApplied mathematicsMathematical analysisPure mathematicsPhysicsQuantum mechanicsMathematical optimizationGeometryMarket economyLinguisticsPhilosophyEconomicsNonlinear Waves and SolitonsNonlinear Photonic SystemsNumerical methods for differential equations