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Scaling, self-similar solutions and shock waves for V-shaped field potentials

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arxiv hep-th/0511022 v3 pith:4WJKUP3M submitted 2005-11-02 hep-th cond-mat.othernlin.PS

Scaling, self-similar solutions and shock waves for V-shaped field potentials

classification hep-th cond-mat.othernlin.PS
keywords fieldmodellimitpotentialsscalingself-similarshocksolutions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate a (1+1)-dimensional nonlinear field theoretic model with the field potential $V(\phi)| = |\phi|.$ It can be obtained as the universal small amplitude limit in a class of models with potentials which are symmetrically V-shaped at their minima, or as a continuum limit of certain mechanical system with infinite number of degrees of freedom. The model has an interesting scaling symmetry of the 'on shell' type. We find self-similar as well as shock wave solutions of the field equation in that model.

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