Wronskians, geometry, and some general solutions to the nonlinear Liouville-like PDE’s

DOI10.1063/1.528143zbMath0665.35072OpenAlexW2006420971MaRDI QIDQ3816461

Jerzy F. Plebański

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528143

zbMATH Keywords

Liouville equationgeometric interpretationexplicit analytic solutionsn-dimensional Wronskians

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items

On the polynomial representation of generalized Liouville operators

Cites Work

• General solutions of nonlinear equations in the geometric theory of the relativistic string
• Some spherical gravitational waves in general relativity
• Exact solutions for the nonlinear Klein–Gordon and Liouville equations in four-dimensional Euclidean space
• The solitons in some geometrical field theories
• Bäcklund generated solutions of Liouville’s equation and their graphical representations in three spatial dimensions
• Complex 2-Form Representation of the Einstein Equations: The Petrov Type III Solutions