Exact solutions of the multidimensional classical φ6-field equations obtained by symmetry reduction

DOI10.1063/1.527813zbMath0658.70015OpenAlexW1976014857MaRDI QIDQ3807664

Jack A. Tuszyński, A. Michel Grundland, Pavel Winternitz

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527813

zbMATH Keywords

Euler-Lagrange equationsPainlevé propertyEuclidean spacesgeneric orbitsnonlinear Klein-Gordon equationsclassical critical phenomena

Mathematics Subject Classification ID

Applications of manifolds of mappings to the sciences (58D30) Classical field theories (70Sxx)

Related Items

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Cites Work

• Subgroups of the similitude group of three-dimensional Minkowski space
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• The Painlevé property for partial differential equations
• A certain class of solutions of the nonlinear wave equation
• Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
• Symmetry reduction for nonlinear relativistically invariant equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Continuous subgroups of the fundamental groups of physics. II. The similitude group
• Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups