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- W2076249803 abstract "Abstract The dispersion of nonlinear waves in a relaxing medium is analysed by making use of the evolution equations for longitudinal waves. The dispersion relations are obtained and the behaviour of the waves compared to those that arise when they are governed by the well-known Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equations that describe unidirectional motion and also by the time regularized long wave (TRLW) equation that describes bi-directional motion. The nonlinear steady wave solutions are obtained. The general mathematical model used throughout this paper is obtained by the theory of nonlinear elasticity with weak relaxation effects (standard viscoelasticity). A further generalization using a four-element model is also discussed briefly." @default.
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- W2076249803 date "1980-09-01" @default.
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- W2076249803 title "Nonlinear dispersive waves in a relaxing medium" @default.
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- W2076249803 doi "https://doi.org/10.1016/0165-2125(80)90006-2" @default.
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