On the orbital stability of Gaussian solitary waves in the log-KdV equation
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Publication:2936157
DOI10.1088/0951-7715/27/12/3185zbMath1319.35215arXiv1401.1738OpenAlexW3102170241MaRDI QIDQ2936157
Dmitry E. Pelinovsky, Rémi Carles
Publication date: 5 January 2015
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.1738
KdV equations (Korteweg-de Vries equations) (35Q53) General topics in linear spectral theory for PDEs (35P05) Stability of solutions to ordinary differential equations (34D20) Soliton solutions (35C08)
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Orbital stability of periodic traveling-wave solutions for the log-KdV equation ⋮ Two model equations with a second degree logarithmic nonlinearity and their Gaussian solutions ⋮ Positive solution for an elliptic system with critical exponent and logarithmic terms: the higher-dimensional cases ⋮ Multiple solutions for logarithmic Schrödinger equations ⋮ Existence and stability of a two-parameter family of solitary waves for a logarithmic NLS-KdV system ⋮ Orbital stability of periodic standing waves for the logarithmic Klein-Gordon equation ⋮ On a class of solutions to the generalized KdV type equation ⋮ Existence and multiplicity of solutions for logarithmic Schrödinger equations with potential ⋮ Asymptotic stability of viscous shocks in the modular Burgers equation ⋮ Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential
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