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 (…
Nonlinear waves in the terrestrial quasi-parallel foreshock
B. Hnat, D. Y. Kolotkov, D. O'Connell +2
We study the applicability of the derivative nonlinear Schrödinger (DNLS) equation, for the evolution of high frequency nonlinear waves, observed at the foreshock region of the ter…