193 citations · 830 across the 31 of their papers we have counts for
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Single soliton solution to the extended KdV equation over uneven depth
George Rowlands, Piotr Rozmej, Eryk Infeld +1
In this note we look at the influence of a shallow, uneven riverbed on a soliton. The idea consists in approximate transformation of the equation governing wave motion over uneven…
Exact solitonic and periodic solutions of the extended KdV equation
Eryk Infeld, Anna Karczewska, George Rowlands +1
The KdV equation can be derived in the shallow water limit of the Euler equations. Over the last few decades, this equation has been extended to include both higher order effects (…
Adiabatic invariants of the extended KdV equation
Anna Karczewska, Piotr Rozmej, Eryk Infeld +1
When the Euler equations for shallow water are taken to the next order, beyond KdV, momentum and energy are no longer exact invariants. (The only one is mass.) However, adiabatic i…
Scaling collapse and structure functions: Identifying self-affinity in finite length time series
S. C. Chapman, B. Hnat, G. Rowlands +1
Empirical determination of the scaling properties and exponents of time series presents a formidable challenge in testing, and developing, a theoretical understanding of turbulence…