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6 papers · 1 filter
Infinite Charge Algebra of Gravitational Instantons
Jens Hoppe, Q-Han Park
Using a formalism of minitwistors, we derive infinitely many conserved charges for the -Toda equation which accounts for gravitational instantons with a rotational Kil…
Hamiltonian formulation of SL(3) Ur-KdV equation
B. K. Chung, K. G. Joo, Soonkeon Nam
We give a unified view of the relation between the KdV, the mKdV, and the Ur-KdV equations through the Fréchet derivatives and their inverses. For this we introduce a new p…
Possible Tests of Conformal Turbulence through Boundaries
B. K. Chung, Soonkeon Nam, Q-Han Park +1
We investigate various boundary conditions in two dimensional turbulence systematically in the context of conformal field theory. Keeping the conformal invariance, we can either ch…
Solutions of Conformal Turbulence on a Half Plane
B. K. Chung, Soonkeon Nam, Q-Han Park +1
Exact solutions of conformal turbulence restricted on a upper half plane are obtained. We show that the inertial range of homogeneous and isotropic turbulence with constant enstrop…
Classical algebra and its Miura map
B. K. Chung, K. G. Joo, Soonkeon Nam
We verify that the fractional KdV equation is a bi-hamiltonian system using the zero curvature equation in matrix valued Lax pair representation, and explicitly find the cl…
Conformal Turbulence with Boundary
B. K. Chung, Soonkeon Nam, Q-Han Park +1
Based upon the formalism of conformal field theory with a boundary, we give a description of the boundary effect on fully developed two dimensional turbulence. Exact one and two po…