Nonlinear superposition for Liouville's equation in three spatial dimensions

DOI10.1007/BF00402581zbMath0451.35056MaRDI QIDQ1147902

George Leibbrandt

Publication date: 1980

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

zbMATH Keywords

higher dimensionsBäcklund transformationnonlinear superpositionLiouville's equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

Bäcklund generated solutions of Liouville’s equation and their graphical representations in three spatial dimensions ⋮ The Bäcklund transformation and nonlinear superposition formula of solutions for the Liouville's equation in higher dimensions

Cites Work

• Bäcklund transformations and new solutions of nonlinear wave equations in four-dimensional space-time
• Solitonlike solutions of the elliptic sine–cosine equation by means of harmonic functions

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