Sine-Laplace equation, sinh-Laplace equation and harmonic maps

DOI10.1007/BF01174876zbMath0511.35061MaRDI QIDQ1838638

He-Sheng Hu

Publication date: 1982

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154903

zbMATH Keywords

Lax pairsinh-Laplace equationsine-Laplace equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Conformal mappings of special domains (30C20) Harmonic maps, etc. (58E20)

Related Items

The construction of hyperbolic surfaces in 3 dimensional minkowski space and sinh-laplace equation ⋮ Unnamed Item ⋮ Viscosity solutions of contact Hamilton-Jacobi equations with Hamiltonians depending periodically on unknown functions ⋮ Surfaces specified by integrable systems of partial differential equations determined by structure equations and Lax pair ⋮ Darboux transformations on timelike constant mean curvature surfaces

Cites Work

• Integrable Hamiltonian systems and interactions through quadratic constraints
• On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space
• Geometrical interpretation of the sinh-Gordon equation