DOI10.1098/rspa.1998.0292zbMath1050.37034OpenAlexW1987949127MaRDI QIDQ4259292
B. G. Konopelchenko, Wolfgang K. Schief
Publication date: 3 April 2000
Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.1998.0292
Second-order integrable Lagrangians and WDVV equations,
Darboux transformations for 5-point and 7-point self-adjoint schemes and an integrable discretization of the 2D Schrödinger operator,
Geometric discretization of the Koenigs nets,
On the classification of multidimensionally consistent 3D maps,
The Ribaucour transformation in Lie sphere geometry,
Curvature line parametrized surfaces and orthogonal coordinate systems: discretization with Dupin cyclides,
Discretization of asymptotic line parametrizations using hyperboloid surface patches,
Generating quadrilateral and circular lattices in KP theory,
Quadrilateral lattices and eigenfunction potentials for \(N\)-component KP hierarchies,
On offsets and curvatures for discrete and semidiscrete surfaces,
The Ribaucour families of discrete R-congruences,
Asymptotic Lattices and W-Congruences in Integrable Discrete Geometry,
Transformations of quadrilateral lattices,
Gaussian and mean curvatures for discrete asymptotic nets,
On semidiscrete constant mean curvature surfaces and their associated families,
Spherical geometry and integrable systems,
The focal geometry of circular and conical meshes,
The Darboux-type transformations of integrable lattices.,
The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction,
Integrable discrete differential geometry of ‘plated’ membranes in equilibrium,
Geometric discretization of the Bianchi system,
Cauchy problem for integrable discrete equations on quad-graphs,
Discrete asymptotic nets and \(W\)-congruences in Plücker line geometry,
Geometry of quadrilateral nets: second Hamiltonian form,
The curvature line parametrization from circular nets on a surface,
Affine Spheres: Discretization via Duality Relations,
Trapezoidal discrete surfaces: geometry and integrability,
Discrete minimal nets with symmetries,
A class of linear spectral problems in Clifford algebras,
Nets, lattices and multicomponent KP hierarchies,
Quantum geometry of three-dimensional lattices,
The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice,
On a discretization of asymptotic nets,
Explicit solutions of integrable lattices,
Discrete Darboux system with self-consistent sources and its symmetric reduction
