algebraic algebraicgeometry bi-hamiltonianstructures completelyintegrablesystems complexanalysis differentialequations dynamicalsystemsandergodictheory equationsofmathematicalphysicsandotherareasofapplication flagmanifolds geometry grassmannians hierarchies(kdv infinite-dimensionalhamiltoniansystems integrabilitytests kdv-likeequations(korteweg-devries) korteweg-devriesequation kp partial partialdifferentialequations relationswithalgebraicgeometry representationsofsolutions schubertvarieties soliton-likeequations specialfunctions specialvarieties toda