Wick–Tzitzeica solitons and their Monge–Ampér equation

DOI10.1142/S0219887818500822zbMath1395.53005OpenAlexW2781985844MaRDI QIDQ4635346

Mircea Crasmareanu, Laurian-Ioan Piscoran

Publication date: 16 April 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887818500822

zbMATH Keywords

Monge-Ampère equationWick rotationTzitzeica equationTzitzeica surfaceWick-Tzitzeica soliton

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Soliton equations (35Q51) Surfaces in Euclidean and related spaces (53A05) Affine differential geometry (53A15)

Cites Work

• Born-Infeld solitons, maximal surfaces, and Ramanujan's identities
• The equation of Euler's line yields a Tzitzeica surface
• Gheorghe Ţiţeica and the origins of affine differential geometry
• The Monge–Ampère equation and its link to optimal transportation
• Cartan for Beginners
• First Integrals Generated by Pseudosymmetries in Nambu-Poisson Mechanics
• Encyclopedia of Analytical Surfaces
• Inverse Jacobi multiplier as a link between conservative systems and Poisson structures
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