Quasi-periodic solutions for quasi-linear generalized KdV equations
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Publication:512635
DOI10.1016/j.jde.2017.01.021zbMath1360.35223arXiv1607.02583OpenAlexW2964263862MaRDI QIDQ512635
Publication date: 27 February 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.02583
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Symbolic dynamics (37B10) Bifurcations in context of PDEs (35B32) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
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Cites Work
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- Energy supercritical nonlinear Schrödinger equations: quasiperiodic solutions
- KAM for autonomous quasi-linear perturbations of mKdV
- A KAM algorithm for the resonant non-linear Schrödinger equation
- Quasi-periodic solutions of forced Kirchhoff equation
- An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
- A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations
- A normal form for the Schrödinger equation with analytic non-linearities
- KAM for the nonlinear beam equation
- Existence of multimodal standing gravity waves
- Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
- KAM for the nonlinear Schrödinger equation
- Multimodal standing gravity waves: a completely resonant system
- Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential
- Periodic solutions of fully nonlinear autonomous equations of Benjamin-Ono type
- Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations
- KAM for reversible derivative wave equations
- Standing waves on an infinitely deep perfect fluid under gravity
- A Nash-Moser Approach to KAM Theory
- KAM theory for the Hamiltonian derivative wave equation
- The KdV equation under periodic boundary conditions and its perturbations
- KAM tori for reversible partial differential equations
- Generalized implicit function theorems with applications to some small divisor problems, II
- Newton's method and periodic solutions of nonlinear wave equations
- Nash-Moser theory for standing water waves.
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