Geometric breathers of the mKdV equation

DOI10.1007/s10440-012-9698-yzbMath1254.35201OpenAlexW1965282263MaRDI QIDQ693163

Miguel A. Alejo

Publication date: 7 December 2012

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9698-y

zbMATH Keywords

breathermKdV equationclosed curvenonvanishing condition

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (7)

On the variational structure of breather solutions. I: Sine-Gordon equation ⋮ Nonlinear stability of MKdV breathers ⋮ Further results about traveling wave exact solutions of the \((2+1)\)-dimensional modified KdV equation ⋮ Nonlinear stability of breather solutions to the coupled modified Korteweg-de Vries equations ⋮ On the ill-posedness of the Gardner equation ⋮ Well-posedness and stability results for the Gardner equation ⋮ Quasi-geostrophic shallow-water doubly-connected vortex equilibria and their stability

Uses Software

• bihar

Cites Work

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