Chaos in PDEs and Lax pairs of Euler equations

DOI10.1023/A:1024024001070zbMath1033.35116arXivmath/0302200OpenAlexW2994675935MaRDI QIDQ1404347

Y. Charles Li

Publication date: 21 August 2003

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302200

zbMATH Keywords

chaosEuler equationshomoclinic orbitsDarboux transformationsLax pairs

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) NLS equations (nonlinear Schrödinger equations) (35Q55) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)

Related Items (4)

Remark on the Cauchy problem for the evolution \(p\)-Laplacian equation ⋮ Analysis on global and chaotic dynamics of nonlinear wave equations for truss core sandwich plate ⋮ Chaotifing a linear hyperbolic system of partial differential equations by means of nonlinear boundary reflection ⋮ Bäcklund transformations, solitary waves, conoid waves and Bessel waves of the \((2+1)\)-dimensional Euler equation

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