Nonlinear sigma model for the Dodd-Bullough equation

DOI10.1007/BF01017916zbMath0541.53030OpenAlexW1981899854MaRDI QIDQ794290

N. E. Zubov

Publication date: 1984

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017916

zbMATH Keywords

sigma modelEquations of motionDodd-Bullough equationunimodular affine space

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications of local differential geometry to the sciences (53B50) Initial value problems for linear higher-order PDEs (35G10) Affine differential geometry (53A15) Higher-order parabolic equations (35K25)

Related Items (3)

New travelling-wave solutions for Dodd-Bullough equation ⋮ Bifurcations of traveling wave solutions for Dodd-Bullough-Mikhailov equation and coupled Higgs equation and their applications ⋮ Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II. Tzitzéica equation

Cites Work

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• A nonlinear two-dimensional sigma-model in relativistic string theory
• Relativistic string model in a space-time of a constant curvature
• On the geometric origin of the equation \(\phi_{11}-\phi_{22} = \exp(\phi)-\exp(-2\phi)\)
• Higher local conservation laws for nonlinear sigma models on symmetric spaces
• An analogue of Bäcklund's theorem in affine geometry
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Reduction of the CP N nonlinear sigma model

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