We analyze a system of reacting elements harmonically coupled to nearest neighbors in the continuum limit. An analytic solution is found for traveling waves. The procedure is used to find oscillatory as well as solitary waves. A comparison is made between exact solutions and solutions of the...

A class of one-dimensional, locally-nonlinear, dispersive Hamiltonians is defined, which includes both the sine Gordon and ø4 models. A transfer integral operator technique is used to investigate the classical statistical mechanics for this class, and several universality and scaling properties...

We propose a versatile variational method to investigate the spatio-temporal dynamics of one-dimensional magnetically-trapped Bose-condensed gases. To this end we employ a q-Gaussian trial wave-function that describes both the low- and the high-density limit of the ground state of a...