Nonlinear Transition Layers-The Second Painleve Transcendent

DOI10.1002/SAPM1977573247zbMath0376.34024OpenAlexW2269221776MaRDI QIDQ4153047

Richard Haberman

Publication date: 1977

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1977573247

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (8)

The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability ⋮ The capture of a particle into resonance at potential hole with dissipative perturbation ⋮ An asymptotic structure of the bifurcation boundary of the perturbed Painlevé-2 equation ⋮ Conditions for Phase Locking and Dephasing of Autoresonant Pumping ⋮ Hard Loss of Stability in Painlevé-2 Equation ⋮ Scattering of trajectories at a separatrix under autoresonance ⋮ Asymptotics of the solution of a differential equation in a saddle-node bifurcation ⋮ Similarity Solutions of Some Two-Space-Dimensional Nonlinear Wave Evolution Equations

Cites Work

• Asymptotic solutions of nonlinear second order differential equations with variable coefficients
• Passage Through Resonance for a One-Dimensional Oscillator with Slowly Varying Frequency
• Semi‐Resonant Interactions and Frequency Dividers

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