Painlevé Classification of All Semi linear Partial Differential Equations of the Second Order. I. Hyperbolic Equations in Two Independent Variables
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Publication:4694585
DOI10.1002/sapm19938911zbMath0799.35046OpenAlexW2462674724MaRDI QIDQ4694585
Publication date: 22 August 1993
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/sapm19938911
KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Analyticity in context of PDEs (35A20) Nonlinear higher-order PDEs (35G20)
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Cites Work
- Unnamed Item
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- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- The reduction problem and the inverse scattering method
- Remarks on nonlinear evolution equations and ordinary differential equations of Painlevé type
- Explicit solutions of Fisher's equation for a special wave speed
- Nonlinear gravitons and curved twistor theory
- Equations différentielles du second ordre en Y et du second degré en Y dont l'intégrale générale est à points critiques fixes
- New Integrable Nonlinear Evolution Equations
- Nonlinear-Evolution Equations of Physical Significance
- On the Painlevé classification of partial differential equations
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- Painlevé analysis and reducibility to the canonical form for the generalized Kadomtsev–Petviashvili equation
- The Painlevé property for partial differential equations
- The Connection between Partial Differential Equations Soluble by Inverse Scattering and Ordinary Differential Equations of Painlevé Type
- Painleve analysis of the non-linear Schrodinger family of equations
- The Bäcklund problem for the equation ∂2z/∂x1∂x2= f (z)
- 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
- Proof of a Geroch conjecture
- The Painlevé classification of partial differential equations. III. Rational equations with several poles
- Painlevé Classification of a Class of Differential Equations of the Second Order and Second Degree
- Bäcklund transformations for the sine–Gordon equations
- The Goursat and Cauchy Problems for the Sine-Gordon Equation
- A class of self-dual solutions of Einstein’s equations
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Reductions of self-dual Yang-Mills fields and classical systems
- Painlevé Classification of All Semi linear Partial Differential Equations of the Second Order. I. Hyperbolic Equations in Two Independent Variables
- On a unified approach to transformations and elementary solutions of Painlevé equations
- Relationship between the inverse scattering techniques of Belinskii–Zakharov and Hauser–Ernst in general relativity
- Painlevé Analysis and the Complete Integrability of a Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation
