Analytical instability of the Klein-Gordon equation

DOI10.1016/0377-0427(88)90384-6zbMath0634.76047OpenAlexW2071311581MaRDI QIDQ1097119

B. George

Publication date: 1988

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90384-6

zbMATH Keywords

Klein-Gordon equationinstabilities on different time-scalesmodulations of weakly nonlinear deep-water wavesmultiple-scales analysis

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Interfacial stability and instability in hydrodynamic stability (76E17) Partial differential equations of mathematical physics and other areas of application (35Q99) Hydrodynamic stability (76E99)

Related Items (3)

The asymptotic theory of semilinear perturbed telegraph equation and its application ⋮ Asymptotics for a class of semilinear hyperbolic equations with an application to a problem with a quadratic nonlinearity ⋮ A model for the propagation of rounding error in a Klein-Gordon equation

Cites Work

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• On the stability of the nonlinear Schrödinger equation
• A model for the propagation of rounding error in a Klein-Gordon equation
• Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation
• Long-time evolution of an unstable water-wave train
• The disintegration of wave trains on deep water Part 1. Theory

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