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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…