Local bifurcations of plane running waves for the generalized cubic Schrödinger equation

DOI10.1134/S0012266110090065zbMath1213.35073WikidataQ115252491 ScholiaQ115252491MaRDI QIDQ633570

D. A. Kulikov, Anatoly Kulikov

Publication date: 1 April 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic formulasinvariant toriperiodic boundary value problemchange of stabilitywaves periodic with respect to time

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32)

Related Items (7)

Invariant manifolds of a weakly dissipative version of the nonlocal Ginzburg-Landau equation ⋮ Spatially inhomogeneous solutions to the nonlocal erosion equation with two spatial variables ⋮ Bifurcations in a boundary-value problem of nanoelectronics ⋮ Local bifurcations of running waves of weakly dissipative versions of the Ginzburg-Landau equation and its generalizations ⋮ Invariant manifolds. Global attractor of a generalized version of the nonlocal Ginzburg-Landau equation ⋮ Spatially inhomogeneous dissipative structures in a periodic boundary-value problem for a nonlocal erosion equation ⋮ Invariant manifolds and global attractor of the Ginzburg-Landau integro-differential equation

Cites Work

• On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation
• Cylindrical traveling waves for the generalized cubical Schrödinger equation
• Invariant tori of a class of point mappings: The annulus principle
• Invariant tori of a class of point transformations: Preservation of an invariant torus under perturbations
• Introduction to Hydrodynamic Stability
• Stable and chaotic solutions of the complex Ginzburg-Landau equation with periodic boundary conditions
• Unnamed Item

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