Global dynamics in nonconservative nonlinear Schrödinger equations
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Publication:2078873
DOI10.1016/j.aim.2022.108234zbMath1492.35309arXiv2012.09734OpenAlexW3111749679MaRDI QIDQ2078873
Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette
Publication date: 4 March 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.09734
heteroclinic orbitshomoclinic orbitsnonlinear Schrödinger equationsstable setsparameterization methodsemi-global existenceunstable setsnonconservative equation
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Computational methods for invariant manifolds of dynamical systems (37M21)
Related Items (3)
Rigorous numerics for nonlinear heat equations in the complex plane of time ⋮ Hamiltonian facets of classical gauge theories on E-manifolds ⋮ Validated numerical approximation of stable manifolds for parabolic partial differential equations
Uses Software
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