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