Local solvability and solution blow-up of one-dimensional equations of the Yajima-Oikawa-Satsuma type

DOI10.1134/S0040577917110010zbMath1387.35110OpenAlexW2773884984MaRDI QIDQ1703247

G. I. Shlyapugin, A. A. Panin

Publication date: 1 March 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577917110010

zbMATH Keywords

blow-up timetest function methodion acoustic wave

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Initial value problems for nonlinear higher-order PDEs (35G25) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Blow-up in context of PDEs (35B44) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (4)

Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source ⋮ Blow-up instability in non-linear wave models with distributed parameters ⋮ Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations. I: Green formulas ⋮ On nonextendable solutions and blow-ups of solutions of pseudoparabolic equations with coercive and constant-sign nonlinearities: analytical and numerical study

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