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Regular version of the site

Article

Breather’s characteristics within the framework of the modified Korteweg-de Vries equation

Symmetry. 2020. Vol. 12. No. 4, 638. P. 1-12.
Didenkulova E., Pelinovsky E.

We study a breather’s properties within the framework of the modified Korteweg–de Vries
(mKdV) model, where cubic nonlinearity is essential. Extrema, moments, and invariants of a breather
with di erent parameters have been analyzed. The conditions in which a breather moves in one
direction or another has been determined. Two limiting cases have been considered: when a breather
has an N-wave shape and can be interpreted as two solitons with di erent polarities, and when a
breather contains many oscillations and can be interpreted as an envelope soliton of the nonlinear
Schrödinger equation (NLS).