Strongly nonlinear modal equations for nearly integrable PDEs
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Publication:1313239
DOI10.1007/BF02429871zbMath0797.35144OpenAlexW2009951063MaRDI QIDQ1313239
Publication date: 26 January 1994
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02429871
KdV equations (Korteweg-de Vries equations) (35Q53) Ergodic theorems, spectral theory, Markov operators (37A30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
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Cites Work
- Numerical inverse spectral transform for the periodic sine-Gordon equation: Theta function solutions and their linearized stability
- Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The geometry of real sine-Gordon wavetrains
- Hamiltonian structure for the modulation equations of a sine-Gordon wavetrain
- 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
- Modulational Stability of Two-Phase Sine-Gordon Wavetrains
- Modulations of Sinh-Gordon and Sine-Gordon Wavetrains
- Modulations of Perturbed K<scp>d</scp>V Wavetrains
- Stability and Bifurcation of Spatially Coherent Solutions of the Damped-Driven NLS Equation
- Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations
- Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
- Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint
- The toda shock problem
- Frequency and Phase Locking of Spatially Periodic Perturbed Sine-Gordon Breather Trains
- Application of a Nonlinear WKB Method to the Korteweg–DeVries Equation
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