Exact Solutions in the Invariant Manifolds of the Generalized Integrable Hénon–Heiles System and Exact Traveling Wave Solutions of Klein–Gordon–Schrödinger Equations

DOI10.1142/S0218127417500122zbMath1358.34004OpenAlexW2586730983MaRDI QIDQ2973270

Ji-Bin Li

Publication date: 3 April 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127417500122

zbMATH Keywords

exact solutionperiodic solutionblow-up solutionquasi-periodic solutionHénon-Heiles systemcenter manifoldhomoclinic manifold

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Invariant manifolds for ordinary differential equations (34C45) Traveling wave solutions (35C07)

Related Items (1)

Direct construction of a bi-Hamiltonian structure for cubic Hénon-Heiles systems

Cites Work

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• Non-integrability of Hénon-Heiles system
• Bifurcations of invariant manifolds in the generalized Hénon-Heiles system
• Integrable Hénon-Heiles hamiltonians: a Poisson algebra approach
• Exactly solvable supersymmetric quantum mechanics
• On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
• Periodic orbits and non-integrability of Hénon–Heiles systems
• Separability and Lax pairs for Hénon–Heiles system
• Elliptic Baker–Akhiezer functions and an application to an integrable dynamical system
• Elliptic solutions and blow-up in an integrable Hénon–Heiles system
• Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
• Integration of a generalized Hénon–Heiles Hamiltonian
• Stability of stationary states for the coupled Klein — Gordon — Schrödinger equations
• Exact solutions for a class of integrable Hénon–Heiles-type systems
• Explicit integration of the Hénon-Heiles Hamiltonians 1

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