Instability and nonuniqueness for the \(b\)-Novikov equation
DOI10.1007/s00332-022-09798-6zbMath1489.35238OpenAlexW4280521463MaRDI QIDQ2141005
Curtis Holliman, A. Alexandrou Himonas
Publication date: 23 May 2022
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-022-09798-6
initial value problemintegrable equationswell-posedness in Sobolev spacesnonuniquenessCamassa-Holm-type equations\(b\)-Novikov equation2-peakon solutionsnorm inflation and instability
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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Traveling wave solutions (35C07) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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