Nonlinear Periodic Waves and Their Modulations: An Introductory Course

By A. Kamchatnov. 2000

208 citations recorded by the source corpus.

Subfields: Biomedical Engineering

View Paper: https://www.semanticscholar.org/paper/df083ff2f621eddce9942be53328143975f3313b

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In Biomedical Engineering

1. Mark A. Hoefer
2. Gennady El

Citations in the corpus

• Unsteady undular bores in fully nonlinear shallow-water theory (2005, unknown): “…first established by Whitham (1965) for the third-order KdV modulation system, and then generalised to many other completely integrable systems (see Kamchatnov (2000) for a simple method of obtaining the Whitham system in Riemann form for a large class of integrable dispersive equations belonging…”
• Dispersive shock waves and modulation theory (2016, methodology): “It transpired later [215, 216], and more generally in [214] using a reduced version of finite-gap spectral theory [54], that the modulation system for the mKdV equation with μ > 0 can be mapped onto the KdV modulation system (2.”