2006•arXiv (Cornell University)Open access

Some Aspects of 2D Integrability

Moulay Brahim Sedra, Abderrahman EL Boukili, H. Erguig, Jamal Zerouaoui

Abstract

We study the KdV and Burgers nonlinear systems and show in a consistent way that they can be mapped to each other through a strong requirement about their evolutions's flows to be connected. We expect that the established mapping between these particular systems should shed more light towards accomplishing some unification's mechanism for KdV hierarchy's integrable systems.

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Key concepts: Unification, Integrable system, Korteweg–de Vries equation, KdV hierarchy, Hierarchy, Nonlinear system, Mechanism (biology), Pure mathematics