Generalized Hooke Law for Relativistic Membranes and p-branes

Physics – High Energy Physics – High Energy Physics - Theory

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8 pages; Talk given at the 3rd Int. Conference "Quantum Electrodynamics and Statistical Physics" (QEDSP2011), August 29-Septem

Scientific paper

The character of elastic forces of relativistic membranes and $p$-branes
encoded in their nonlinear equations is studied. The toroidal brane equations
are reduced to the classical equations of anharmonic elastic media described by
monomial potentials. Integrability of the equations is discussed and some of
their exact solutions are constructed.

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