33 citations · 164 across the 51 of their papers we have counts for
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math-ph2013★ 5 cited
Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results
Thomas Trogdon, Bernard Deconinck
All solutions of the Korteweg -- de Vries equation that are bounded on the real line are physically relevant, depending on the application area of interest. Usually, both analytica…
math-ph2013★ 18 cited
A numerical dressing method for the nonlinear superposition of solutions of the KdV equation
Thomas Trogdon, Bernard Deconinck
In this paper we present the unification of two existing numerical methods for the construction of solutions of the Korteweg-de Vries (KdV) equation. The first method is used to so…