Nonlinear dispersive equations: classical and new frameworks
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Publication:2082033
DOI10.1007/s40863-020-00195-zzbMath1498.35468OpenAlexW3120048955WikidataQ121766565 ScholiaQ121766565MaRDI QIDQ2082033
Publication date: 30 September 2022
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40863-020-00195-z
variational methodstraveling wavesorbital stabilitylinear instabilitypoint interactionsmetric graphsanalytic perturbationSturm-Liouville theorydispersive equationsSchrödinger modelsBBM modelsextension theory of symmetric operatorsKorteweg-de Vries models
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Semilinear elliptic equations (35J61) Traveling wave solutions (35C07) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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