Solution formula and time-periodicity for the motion of relativistic strings in the Minkowski space \(\mathbb R^{1+n}\)

DOI10.1016/j.physd.2009.02.014zbMath1173.37068OpenAlexW2040962017MaRDI QIDQ2389369

De-Xing Kong, Qiang Zhang

Publication date: 15 July 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2009.02.014

zbMATH Keywords

Born-Infeld equationequations for the motion of relativistic stringfinite relativistic stringgeneral solution formulageneralized periodic function

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (14)

Formation of singularities in one-dimensional Chaplygin gas ⋮ Quasi-periodic relativistic strings in the Minkowski space \(\mathbb{R}^{1+n}\) ⋮ Closure and convexity results for closed relativistic strings ⋮ Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state ⋮ A globally smooth solution to the relativistic string equation ⋮ Formation and propagation of singularities in one-dimensional Chaplygin gas ⋮ Global existence of timelike minimal surface of general co-dimension in Minkowski space time ⋮ The generalized nonlinear initial-boundary Riemann problem for linearly degenerate quasilinear hyperbolic systems of conservation laws ⋮ Global existence of smooth solutions to relativistic string equations in Schwarzschild space-time for small initial data ⋮ Asymptotic behavior of classical solutions of reducible quasilinear hyperbolic systems with characteristic boundaries ⋮ Stability of traveling wave for the relativistic string equation in de Sitter spacetime ⋮ Riemann problem and wave interactions for the one-dimensional relativistic string equation in Minkowski space ⋮ On the regularity of timelike extremal surfaces ⋮ Harmonic coordinates in the string and membrane equations

Cites Work

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• The dynamics of relativistic strings moving in the Minkowski space \(\mathbb{R}^{1+n}\)
• Hydrodynamic structure of the augmented Born-Infeld equations
• Hyperbolic systems of conservation laws II
• Multi-Hamiltonian structure of the Born–Infeld equation
• Minimal Surfaces in Euclidean N-Space
• Foundations of the new field theory
• FIELDS OF UNIT VECTORS IN THE FOUR-SPACE OF GENERAL RELATIVITY

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