It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal hitham hierarchy are nothing but classes of integrable deformations of quasiconformal mappings on the plane. Examples of deformations of quasiconformal mappings associated with explicit solutions of the dispersionless KP hierarchy are presented
The Beltrami equation of complex analysis enjoys a rich and fascinating theory. This theory has many...
We show that a K-quasiregular ω-curve from a Euclidean domain to a Euclidean space with respect to a...
The concept of a conformal deformation has two natural extensions: quasiconformal and harmonic mappi...
A ∂¯formalism for studying dispersionless integrable hierarchies is applied to the dispersionless KP...
The dispersionless limit of the scalar nonlocal a-problem is derived. It is given by a special class...
A scheme for solving quasiclassical-string equations is developed to prove that genus-zero hitham h...
The quasiclassical limit of the scalar nonlocal δ̅ -problem is derived and a quasiclassical version...
A class of nonlinear problems on the plane, described by nonlinear inhomogeneous ∂¯-equations, is co...
Quasiconformal (QC) mappings generalize conformal mappings. Since their introduction in the 1930s, Q...
We discuss the origin of the associativity (WDVV) equations in the context of quasiclassical or Whit...
AbstractWe discuss the origin of the associativity (WDVV) equations in the context of quasiclassical...
We show that an injective continuous map between planar regions which distorts vertices of equilater...
Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University ...
The dispersionless limit of the scalar nonlocal a-problem is derived. It is given by a special class...
A general scheme for analysing reductions of Whitham hierarchies is presented. It is based on a meth...
The Beltrami equation of complex analysis enjoys a rich and fascinating theory. This theory has many...
We show that a K-quasiregular ω-curve from a Euclidean domain to a Euclidean space with respect to a...
The concept of a conformal deformation has two natural extensions: quasiconformal and harmonic mappi...
A ∂¯formalism for studying dispersionless integrable hierarchies is applied to the dispersionless KP...
The dispersionless limit of the scalar nonlocal a-problem is derived. It is given by a special class...
A scheme for solving quasiclassical-string equations is developed to prove that genus-zero hitham h...
The quasiclassical limit of the scalar nonlocal δ̅ -problem is derived and a quasiclassical version...
A class of nonlinear problems on the plane, described by nonlinear inhomogeneous ∂¯-equations, is co...
Quasiconformal (QC) mappings generalize conformal mappings. Since their introduction in the 1930s, Q...
We discuss the origin of the associativity (WDVV) equations in the context of quasiclassical or Whit...
AbstractWe discuss the origin of the associativity (WDVV) equations in the context of quasiclassical...
We show that an injective continuous map between planar regions which distorts vertices of equilater...
Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University ...
The dispersionless limit of the scalar nonlocal a-problem is derived. It is given by a special class...
A general scheme for analysing reductions of Whitham hierarchies is presented. It is based on a meth...
The Beltrami equation of complex analysis enjoys a rich and fascinating theory. This theory has many...
We show that a K-quasiregular ω-curve from a Euclidean domain to a Euclidean space with respect to a...
The concept of a conformal deformation has two natural extensions: quasiconformal and harmonic mappi...
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