22 citations · 81 across the 34 of their papers we have counts for
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Spring-mass behavior of solitons under the influence of an external force field within the modified Korteweg-de Vries equation
Marcelo V. Flamarion, Efim Pelinovsky, Ioann Melnikov
We investigate the interaction of solitons with an external periodic field within the framework of the modified Korteweg-de Vries (mKdV) equation. In the case of small perturbation…
Wave evolution within the Cubic Vortical Whitham equation
Marcelo V. Flamarion, Efim Pelinovsky
In this work, we study the evolution of disturbances within the framework of the Cubic Vortical Whitham (CV-Whitham) equation, considering both positive and negative cubic nonlinea…
Soliton dynamics in random fields: The Benjamin-Ono equation framework
Marcelo V. Flamarion, Efim Pelinovsky, Ekaterina Didenkulova
Algebraic soliton interactions with a periodic or quasi-periodic random force are investigated using the Benjamin-Ono equation. The random force is modeled as a Fourier series with…