Stability and instability of periodic travelling wave solutions for the critical Korteweg-de Vries and nonlinear Schrödinger equations

DOI10.1016/j.physd.2008.12.011zbMath1160.37407OpenAlexW2036868164MaRDI QIDQ1016237

Jaime Angulo Pava, Fábio M. Amorin Natali

Publication date: 5 May 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.12.011

zbMATH Keywords

nonlinear stabilityelliptic functionsperiodic travelling wavenonlinear instabilitycritical KdV equationcritical Schrödinger equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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