On the ill-posedness of the Gardner equation
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Publication:450997
DOI10.1016/j.jmaa.2012.06.018zbMath1256.35197OpenAlexW2041394122MaRDI QIDQ450997
Publication date: 26 September 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.06.018
KdV equations (Korteweg-de Vries equations) (35Q53) Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Soliton equations (35Q51) Soliton solutions (35C08)
Related Items (7)
Nonlinear stability of MKdV breathers ⋮ Nonlinear stability of Gardner breathers ⋮ Global solutions and stability properties of the 5th order Gardner equation ⋮ Dynamics of breathers in the Gardner hierarchy: universality of the variational characterization ⋮ Exact traveling wave solutions of the Gardner equation by the improved \(\tan\left( \Theta \left( \vartheta\right)\right)\)-expansion method and the wave ansatz method ⋮ On the ill-posedness of the 5th-order Gardner equation ⋮ The analysis of operator splitting for the Gardner equation
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