35q9235r3537n2549j1092c5092d2535b3235b3535b50 algebraic algebraicgeometry applications bi-hamiltonianstructures bifurcation biology biologyandothernaturalsciences calculusofvariationsandoptimalcontrol;optimization cellularandmedicaltopics completelyintegrablesystems complexanalysis differentialequations dynamicalsystemsandergodictheory dynamicalsystemsinbiology existencetheories flagmanifolds freeboundaryproblems freeproblemsintwoormoreindependentvariables geneticsandpopulationdynamics geometry grassmannians hierarchies(kdv infinite-dimensionalhamiltoniansystems integrabilitytests kdv-likeequations(korteweg-devries) korteweg-devriesequation kp mathematicalmodels maximumprinciples medicalapplications(general) miscellaneoustopics partial partialdifferentialequations pdesinconnectionwithbiologyandothernaturalsciences physiological populationdynamics(general) qualitativepropertiesofsolutions relationswithalgebraicgeometry representationsofsolutions schubertvarieties soliton-likeequations solitonsolutions specialfunctions specialvarieties stability toda