Remarks on nonlinear evolution equations and ordinary differential equations of Painlevé type

DOI10.1016/0167-2789(81)90122-6zbMath1194.34168OpenAlexW1970520790MaRDI QIDQ995033

Mark J. Ablowitz

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(81)90122-6

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (max. 100)

Painlevé Classification of All Semi linear Partial Differential Equations of the Second Order. I. Hyperbolic Equations in Two Independent Variables ⋮ On the origins of Riemann–Hilbert problems in mathematics*

Cites Work

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• Explicit solutions of Fisher's equation for a special wave speed
• Bäcklund Transform and Conservation Laws of the Benjamin-Ono Equation
• Solitons and rational solutions of nonlinear evolution equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• The N -soliton solution of the Benjamin-Ono equation
• Lagrange multiplier formalism for a spin-3/2 field
• Multi-soliton solutions in a finite depth fluid

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