Robustness of mKdV Breathers: A Numerical Perspective Article

Haight, C, Roudenko, S, Son, D et al. (2026). Robustness of mKdV Breathers: A Numerical Perspective . STUDIES IN APPLIED MATHEMATICS, 157(1), 10.1111/sapm.70263

cited authors

  • Haight, C; Roudenko, S; Son, D; Yang, K

authors

abstract

  • We systematically investigate breather solutions in the modified Korteweg–de Vries (mKdV) equation via numerical simulations. We show that the breather solutions are stable under a variety of perturbations, including amplitude changes, modifications of internal parameters, and perturbations to the nonlinearity of the equation. Our results are not only consistent with the known analytical studies on the stability of breathers in integrable systems, extending them further, but also provide numerical evidence that such breather-type structures can persist and remain stable over the simulated time scales in some nonintegrable settings with symmetric potentials.

publication date

  • July 1, 2026

published in

Digital Object Identifier (DOI)

volume

  • 157

issue

  • 1