Systematics of strongly self-dominant higher-order differential equations based on the Painlevé analysis of their singularities
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Publication:3744603
DOI10.1063/1.527116zbMath0606.35077OpenAlexW2129827210MaRDI QIDQ3744603
Publication date: 1986
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527116
Boussinesq equationPainlevé propertyBurgers' equationKorteweg-de Vries equationmovable critical pointsPainlevé chain
Analyticity in context of PDEs (35A20) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (5)
On generalized Painlevé-chains ⋮ The Weiss–Tabor–Carnevale Painlevé test and Burgers’ hierarchy ⋮ Soliton structure versus singularity analysis: Third-order completely integrable nonlinear differential equations in \(1+1\)-dimensions ⋮ The development of the concept of Painlevé chains for the classification of integrable higher-order differential equations ⋮ On the Painlevé classification of partial differential equations II: Rational equations with one pole
Cites Work
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- The Painlevé property for partial differential equations
- On classes of integrable systems and the Painlevé property
- The Painlevé property and Bäcklund transformations for the sequence of Boussinesq equations
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- Prolongation structures of nonlinear evolution equations
- The prolongation structures of a class of nonlinear evolution equations
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Integrals of nonlinear equations of evolution and solitary waves
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