Self-similar planar curves related to modified Korteweg-de Vries equation

DOI10.1016/j.jde.2006.12.018zbMath1124.35076OpenAlexW2144382444MaRDI QIDQ876869

Galina Perelman, Luis Vega

Publication date: 19 April 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.12.018

zbMATH Keywords

existencecurvaturemodified Korteweg-de Vries equationselfsimilar solutionplanar curve

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items (9)

On the hierarchies of higher order mKdV and KdV equations ⋮ Long-time asymptotics of the coupled modified Korteweg-de Vries equation ⋮ Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces ⋮ Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation ⋮ Double Spiral Singularities for a Flow of Regular Planar Curves ⋮ Long time behavior of solutions to the mKdV ⋮ Self-similar solutions and critical spaces for the modified Korteweg-de Vries equation ⋮ Local well-posedness for the modified KdV equation in almost critical $\widehat {H^r_s}$-spaces ⋮ Self-similar asymptotics for solutions to the intermediate long-wave equation

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