Stability of envelope waves

DOI10.1016/0165-2125(89)90037-1zbMath0698.35152OpenAlexW2028500603MaRDI QIDQ912311

N. E. Zubov

Publication date: 1989

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(89)90037-1

zbMATH Keywords

solitonsInstabilitiesenvelope wavesnonlinear Schrödinger, Zastavenko and coupled Klein-Gordon equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

The modulational instability of the nonlinear Klein-Gordon equation ⋮ Approach in theory of nonlinear evolution equations: the Vakhnenko-Parkes equation

Cites Work

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• Two-dimensional instabilities of generalized Korteweg-de Vries waves
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• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• On three-dimensional generalizations of the Boussinesq and Korteweg-de Vries equations
• Two-dimensional evolution of packets of short water waves in systems of finite depth
• Nonlinear solutions of drift cyclotron modes in mirror devices
• A numerical and theoretical study of certain nonlinear wave phenomena
• Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation

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