Finite-dimensional dynamics for evolutionary equations

DOI10.1007/s11071-006-9049-5zbMath1181.35244OpenAlexW2025504627MaRDI QIDQ842086

Olga Lychagina, Valentin V. Lychagin

Publication date: 22 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-9049-5

zbMATH Keywords

Schrödinger equationsKdV equationevolutionary differential equationsfinite dimensional dynamicshuffle symmetry

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (12)

Attractors in models of porous media flow ⋮ On contact integral Calabi invariant ⋮ Symmetries and Integrals ⋮ Finite Dimensional Dynamics of Evolutionary Equations with Maple ⋮ The chaotic dynamics of the social behavior selection networks in crowd simulation ⋮ Finite-dimensional dynamics in nonlinear heat transfer ⋮ Evolutionary systems and flows on solutions spaces of finite type equations ⋮ Dynamics of evolutionary PDE systems ⋮ Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method ⋮ Schrödinger equations on elliptic curves: symmetries, solutions and eigenvalue problem ⋮ Dynamics and exact solutions of non-evolutionary partial differential equations ⋮ Exact solutions of the Burgers-Huxley equation via dynamics

Cites Work

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• Symmetries of distributions and quadrature of ordinary differential equations
• Mayer brackets and solvability of PDEs. I
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Integrals of nonlinear equations of evolution and solitary waves

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