Integrable main resonance equations

DOI10.1007/S11006-006-0158-8zbMath1127.34300OpenAlexW1989036022MaRDI QIDQ881124

Yulia Yurievna Bagderina

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0158-8

zbMATH Keywords

parametric resonancePainlevé testAbel equation of second typemain resonance equationsordinary differential equation with cubic nonlinearity

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (4)

Point equivalence of second-order ordinary differential equations to the fifth Painlevé equation with one and two nonzero parameters ⋮ Autoresonance excitation of a soliton of the nonlinear Schrödinger equation ⋮ Existence theorems and estimates of solutions for equations of principal resonance ⋮ Solution of the equivalence problem for the third Painlevé equation

Cites Work

• Unnamed Item
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

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