Self-similar blow-up solutions in the generalised Korteweg-de Vries equation: spectral analysis, normal form and asymptotics
DOI10.1088/1361-6544/ad5638MaRDI QIDQ6592190
S. Jonathan Chapman, Ioannis G. Kevrekidis, P. G. Kevrekidis, Michail E. Kavousanakis, E. G. Charalampidis
Publication date: 24 August 2024
Published in: Nonlinearity (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Eigenvalue problems for linear operators (47A75) Normal forms for dynamical systems (37G05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Blow-up in context of PDEs (35B44) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Symmetries, invariants, etc. in context of PDEs (35B06) Self-similar solutions to PDEs (35C06) Finite volume methods for boundary value problems involving PDEs (65N08)
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