Abstract
Arguably, the most prototypical nonlinear wave structure that can arise in granular crystals consists of traveling waves. While many kinds of traveling waves exist (such as periodic ones [1]), in this chapter we are interested in ones that are spatially localized, i.e., traveling solitary waves (which we will simply call traveling waves when the distinction is clear). In fact, in the first “phase” of research on this topic, as covered extensively by the quintessential references of [2, 3], shock waves (the subject of the previous chapter) had barely been touched upon, while breathers (the subject of the next chapter) were altogether absent.
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Chong, C., Kevrekidis, P.G. (2018). Traveling Waves. In: Coherent Structures in Granular Crystals. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-77884-6_3
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