Chaotic and turbulent behavior of unstable one-dimensional nonlinear dispersive waves

DOI10.1063/1.533337zbMath1045.37503OpenAlexW2009295400MaRDI QIDQ2738033

David W. McLaughlin, David Cai

Publication date: 30 August 2001

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

Full work available at URL: https://semanticscholar.org/paper/9cc42cf2cc2dbe333e50e41a81ca11510193b068

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items (7)

Conservative integrators for a toy model of weak turbulence ⋮ Chaotifing a linear hyperbolic system of partial differential equations by means of nonlinear boundary reflection ⋮ Spatiotemporal chaos in spatially extended systems ⋮ Dispersive wave turbulence in one dimension ⋮ Wave turbulence in one-dimensional models ⋮ Nonequilibrium statistical behavior of nonlinear Schrödinger equations ⋮ A numerical study of the perturbed semiclassical focusing nonlinear Schrödinger equation

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