The Bäcklund transformation and nonlinear superposition formula of solutions for the Liouville's equation in higher dimensions

DOI10.1007/BF01904921zbMath0591.35003OpenAlexW209113188MaRDI QIDQ1074760

Xun-Cheng Huang

Publication date: 1984

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01904921

zbMATH Keywords

Bäcklund transformationsLiouville equationnonlinear superposition technique

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Nonlinear superposition for Liouville's equation in three spatial dimensions
• Bäcklund generated solutions of Liouville’s equation and their graphical representations in three spatial dimensions

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