29 citations · 29 across the 3 of their papers we have counts for
3 papers
nlin.SI2023
Dark breathers on a snoidal wave background in the defocusing MKDV equation
Ana Mucalica, Dmitry E. Pelinovsky
We present a new exact solution to the defocusing modified Korteweg-de Vries equation to describe the interaction of a dark soliton and a traveling periodic wave. The solution (whi…
nlin.PS2023★ 29 cited
KdV breathers on a cnoidal wave background
Mark A. Hoefer, Ana Mucalica, Dmitry E. Pelinovsky
Using the Darboux transformation for the Korteweg-de Vries equation, we construct and analyze exact solutions describing the interaction of a solitary wave and a traveling cnoidal…
nlin.PS2022
Solitons on the rarefactive wave background via the Darboux transformation
Ana Mucalica, Dmitry E. Pelinovsky
Rarefactive waves and dispersive shock waves are generated from the step-like initial data in many nonlinear evolution equations including the classical example of the Korteweg-de…