Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra

DOI10.1016/S0096-3003(96)00115-4zbMath0881.35105MaRDI QIDQ1368919

Yi-Tian Gao, Bo Tian

Publication date: 7 October 1997

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

computer algebratruncated Painlevé expansionvariable-coefficient Kadomtsev-Petviashvilli equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05)

Related Items (6)

Existence and concentration of nontrivial solitary waves for a generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^2\) ⋮ Existence, regularity, and concentration phenomenon of nontrivial solitary waves for a class of generalized variable coefficient Kadomtsev-Petviashvili equation ⋮ Transformations and multi-solitonic solutions for a generalized variable-coefficient Kadomtsev-Petviashvili equation ⋮ Wronskian and Grammian determinant structure solutions for a variable-coefficient forced Kadomtsev-Petviashvili equation in fluid dynamics ⋮ Optimized Algorithm for Petviashvili’s Method for Finding Solitons in Photonic Lattices ⋮ Solitary waves for a class of generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^N\) with positive and zero mass

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Generalized KP equation and Miura transformation
• Exact solutions to KdV equations with variable coefficients and/or nonuniformities
• Lax pair for the general KP equation with explicit \(x, y\) and \(t\) dependence
• 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
• Integrable Nonlinear Equations for Water Waves in Straits of Varying Depth and Width
• Line soliton interactions of a nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation
• Painlevé Analysis and the Complete Integrability of a Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation

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