Chaotic perturbations of KdV. I. Rational solutions
From MaRDI portal
Publication:1086752
DOI10.1016/0167-2789(86)90021-7zbMath0609.35078OpenAlexW1552928831MaRDI QIDQ1086752
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)90021-7
homoclinic orbitsperturbed KdV equationMelnikov methodchaotic in timeMcGehee transformationnonlinear ion-acoustic wavesRational pole-solutions
Perturbations in context of PDEs (35B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items
KdV solitons in active media, Solutions to the perturbed KdV equation, Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model, Nonautonomous analysis of steady Korteweg–de Vries waves under nonlocalised forcing, TEMPORAL EVOLUTIONS AND STATIONARY WAVES FOR PERTURBED KDV EQUATION WITH NONLOCAL TERM, Spatiotemporal evolution form a pair of like polarity solitons to chaos
Cites Work
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Temporal and spatial chaos in a van der Waals fluid due to periodic thermal fluctuations
- A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
- On Morse-Smale dynamical systems
- A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
- Stable and Random Motions in Dynamical Systems
- Melnikov's method and averaging
- Complex hill's equation and the complex periodic korteweg-de vries equations
- Singularities of the complex korteweg-de vries flows
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- Nonlinear Theory of Ion Acoustic Waves with Landau Damping
- Differentiable dynamical systems
- Nonlinear wave equations and constrained harmonic motion
- Unnamed Item
- Unnamed Item
