Self-similar blow-up solutions in the generalised Korteweg-de Vries equation: spectral analysis, normal form and asymptotics

In the present work we revisit the problem of the generalised Korteweg–de Vries equation parametrically, as a function of the relevant nonlinearity exponent, to examine the emergence of blow-up solutions, as traveling waveforms lose their stability past a critical point of the relevant parameter p,...

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Bibliographic Details
Main Authors: Chapman, SJ, Kavousanakis, M, Charalampidis, EG, Kevrekidis, IG, Kevrekidis, PG
Format: Journal article
Language:English
Published: IOP Publishing 2024