Singular solutions of the equation (d'Alembert operator) \(\phi+(m^ 2/2)\exp \phi=0\) and dynamics of singularities
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Publication:1149059
DOI10.1007/BF01018719zbMath0453.35058OpenAlexW1995074873MaRDI QIDQ1149059
M. K. Polivanov, A. K. Pogrebkov, G. P. Dzhordzhadze
Publication date: 1980
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01018719
dynamical systemstopological invariantssingular solutionsLiouville equationdynamics of singularities
Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Analyticity in context of PDEs (35A20)
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Explicit solutions of the conformal scalar equations in arbitrary dimensions ⋮ COADJOINT ORBITS OF THE VIRASORO ALGEBRA AND THE GLOBAL LIOUVILLE EQUATION ⋮ Unnamed Item ⋮ Dimensional reduction of gravity and relation between static states, cosmologies, and waves ⋮ \( T\overline{T}\) deformations of non-relativistic models ⋮ Liouville's equation and the lattice sine-Gordon model ⋮ Perturbation of a singular solution to the Liouville equation ⋮ Singularities on world sheets of open relativistic strings ⋮ Hirota equation and Bethe ansatz ⋮ A relativistic particle in the Liouville field ⋮ Description of braids in terms of first-order spectral problems ⋮ Geometric description of a relativistic string ⋮ Bäcklund generated solutions of Liouville’s equation and their graphical representations in three spatial dimensions
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