Propagation of sech2-type solitary waves in hierarchical KdV-type systems

Lauri Ilison and Andrus Salupere

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 11, 3314-3327

Abstract: A hierarchical Korteweg–de Vries-type evolution equation is applied for modelling wave propagation in dilatant granular materials. The model equation is integrated numerically under sech2-type initial conditions using the Fourier transform-based pseudospectral method. Numerical simulations are carried out over a wide range of material parameters (two dispersion parameters and one microstructure parameter) and amplitudes of the initial wave. The analysis of the time–space behaviour of solutions results in five solution types. Besides typical KdV-like solitonic structures, wave packets were detected for some domains of material parameters.

Keywords: Korteweg–de Vries-type evolution equations; Solitons; Wave hierarchies; Dilatant granular materials; Pseudospectral methods (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:11:p:3314-3327

DOI: 10.1016/j.matcom.2009.05.003

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