The origin and saturation of modulational instabilities

DOI10.1016/0167-2789(86)90218-6zbMath0596.35112OpenAlexW2075767528MaRDI QIDQ1078424

M. Gregory Forest, Nicholas M. Ercolani, David W. McLaughlin

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90218-6

zbMATH Keywords

dominant degrees of freedomperiodic sine-Gordon differential equation

Mathematics Subject Classification ID

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) Other special methods applied to PDEs (35A25)

Related Items (10)

Effects of symmetry on instability-driven chaotic energy transport in near-integrable, Hamiltonian systems ⋮ Mel'nikov analysis of numerically induced chaos in the nonlinear Schrödinger equation ⋮ Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation ⋮ Chaotic and homoclinic behavior for numerical discretizations of the nonlinear Schrödinger equation ⋮ Numerical simulation of quasi-periodic solutions of the sine-Gordon equation ⋮ The stationary equations of a coupled nonlinear Schrödinger system ⋮ Coherence and chaos in the driven damped sine-Gordon equation: measurement of the soliton spectrum ⋮ A quasi-periodic route to chaos in a near-integrable PDE ⋮ On the Bäcklund-gauge transformation and homoclinic orbits of a coupled nonlinear Schrödinger system ⋮ An integrable model for stable/unstable wave coupling phenomena

Cites Work

• Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation
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