KdV solves BKP
A. Alexandrov
Abstract
Significance Integrable systems constitute an essential part of modern mathematics and theoretical physics. Interrelations between different integrable systems allow us to uncover unexpected relations between various mathematical and physical problems and eventually, to solve them. This paper provides a simple and surprising relationship between two classical integrable systems—the Korteweg–de Vries (KdV) and type B Kadomtsev–Petviashvili (BKP) hierarchies.
Topics & Concepts
Korteweg–de Vries equationHierarchyKdV hierarchySimple (philosophy)MathematicsType (biology)Function (biology)Applied mathematicsPure mathematicsNonlinear systemPhysicsBiologyEcologyPhilosophyEvolutionary biologyQuantum mechanicsMarket economyEpistemologyEconomicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models