Symmetry properties and solutions of nonlinear dispersive thin-film equations in three dimensions

DOI10.1063/1.529481zbMath0742.58059OpenAlexW1967273161MaRDI QIDQ3987413

S. Melkonian, Pavel Winternitz

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529481

zbMATH Keywords

\((2+1)\)-dimensional generalizations of the KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70)

Cites Work

• Two-dimensional amplitude evolution equations for nonlinear dispersive waves on thin films
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• The Painlevé property for partial differential equations
• Asymptotic regularizations as an alternative to distributions for the study of singular hypersurfaces
• Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group
• Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups
• Nonlinear stability of a viscous film with respect to three-dimensional side-band disturbances
• Long Waves on Liquid Films

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