Abstract
Wave propagations in nonlinear lattices with random mass distribution are investigated. The following two cases which have important applications are studied; 1) slowly varying waves in a lattice with a cubic nonlinearity, and 2) carrier wave modulations in a lattice with quadratic and cubic nonlinearities. The former and the latter cases reduces to stochastic modified Korteweg-de Vries equation and stochastic nonlinear Schrodinger equation, respectively. Propagations of solitons are analysed for both cases under an assumption that mass distribution is Gaussian and white.
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