Variational method: How it can generate false instabilities

DOI10.1063/1.531574zbMath0862.35103OpenAlexW2006579812MaRDI QIDQ5284797

D. J. Kaup, T. I. Lakoba

Publication date: 22 January 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531574

zbMATH Keywords

Rayleigh-Ritz variational methodsolitary wave dynamicssufficient conditions for avoiding false instabilities

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Variational methods applied to problems in fluid mechanics (76M30) Soliton equations (35Q51)

Related Items

Quantitative measurement of variational approximations, Orbital stability of Dirac solitons, Internal modes of envelope solitons, Variational approximations using Gaussian ansatz, false instability, and its remedy in nonlinear Schrödinger lattices, Families of Bragg-grating solitons in a cubic-quintic medium, Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations, A variational approach to the stability of an embedded NLS soliton at the edge of the continuum, Instability of the finite‐difference split‐step method applied to the generalized nonlinear Schrödinger equation. III. external potential and oscillating pulse solutions

Cites Work

• Variational formulation for the evolution of a deep-water wavetrain in two space dimensions
• The squared eigenfunctions of the massive Thirring model in laboratory coordinates