2.3k citations
- Max Planck SocietyDE46 papers
- University of GöttingenDE24 papers
- Wesleyan UniversityUS14 papers
- Cornell UniversityUS12 papers
- Bernstein Center for Computational Neuroscience GöttingenDE10 papers
- University of the AegeanGR10 papers
- Center for NanoScienceDE5 papers
- Harvard UniversityUS5 papers
- Ludwig-Maximilians-Universität MünchenDE5 papers
- Ben-Gurion University of the NegevIL4 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- University of CopenhagenDK4 papers
8 papers · 1 filter
Bidifferential graded algebras and integrable systems
Aristophanes Dimakis, Folkert Muller-Hoissen
In the framework of bidifferential graded algebras, we present universal solution generating techniques for a wide class of integrable systems.
Dispersionless limit of the noncommutative potential KP hierarchy and solutions of the pseudodual chiral model in 2+1 dimensions
Aristophanes Dimakis, Folkert Muller-Hoissen
The usual dispersionless limit of the KP hierarchy does not work in the case where the dependent variable has values in a noncommutative (e.g. matrix) algebra. Passing over to the…
With a Cole-Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices
Aristophanes Dimakis, Folkert Muller-Hoissen
In case of the KP hierarchy where the dependent variable takes values in an (arbitrary) associative algebra A, it is known that there are solutions which can be expressed in terms…
Burgers and KP hierarchies: A functional representation approach
Aristophanes Dimakis, Folkert Muller-Hoissen
From a 'discrete' functional zero curvature equation, functional representations of (matrix) Burgers and potential KP (pKP) hierarchies (and others), as well as corresponding Backl…
Single polymer dynamics in elongational flow and the confluent Heun equation
D. Vincenzi, E. Bodenschatz
We investigate the non-equilibrium dynamics of an isolated polymer in a stationary elongational flow. We compute the relaxation time to the steady-state configuration as a function…
Functional representations of integrable hierarchies
Aristophanes Dimakis, Folkert Muller-Hoissen
We consider a general framework for integrable hierarchies in Lax form and derive certain universal equations from which `functional representations' of particular hierarchies (lik…