A KdV equation in 2+1 dimensions: Painlevé analysis, solutions and similarity reductions
From MaRDI portal
Publication:1896399
DOI10.1007/BF00994637zbMath0838.35115OpenAlexW4237457395MaRDI QIDQ1896399
Publication date: 22 October 1995
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00994637
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items (7)
A variety of soliton solutions for the Mikhailov-Novikov-Wang dynamical equation via three analytical methods ⋮ Analysis of (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation via Lax pair investigation and group transformation method ⋮ Investigation of breaking dynamics for Riemann waves in shallow water ⋮ Group similarity solutions of the Lax pair for a generalized Hirota-Satsuma equation ⋮ Lax Pair, Binary Darboux Transformation and New Grammian Solutions of Nonisospectral Kadomtsev–Petviashvili Equation with the Two-Singular-Manifold Method ⋮ Variable separation solutions obtained from Darboux transformations for the asymmetric Nizhnik-Novikov-Veselov system ⋮ Truncation method with point transformation for exact solution of Liouville Bratu Gelfand equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
- A unified approach to Painlevé expansions
- Painlevé expansions for nonintegrable evolution equations
- The Painlevé property, a modified Boussinesq equation and a modified Kadomtsev-Petviashvili equation
- N-Soliton Solutions of Model Equations for Shallow Water Waves
- On the structure and properties of the singularity manifold equations of the KP hierarchy
- Non-classical symmetry reduction: example of the Boussinesq equation
- The Painlevé property for partial differential equations
- Singularity-structure analysis and Hirota's bilinearisation of the Davey-Stewartson equation
- On the Painlevé property of nonlinear field equations in 2+1 dimensions: The Davey–Stewartson system
- New symmetry reductions and exact solutions of the Davey–Stewartson system. I. Reductions to ordinary differential equations
- On a shallow water wave equation
- Third order spectral problems: reductions and Darboux transformations
- On the characterization of Moutard transformations
- On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
- Symmetries of a (2+1)-dimensional breaking soliton equation
- Nonclassical Symmetries and the Singular Manifold Method: Theory and Six Examples
- Non-classical symmetries and the singular manifold method: the Burgers and the Burgers-Huxley equations
- Modified singular manifold expansion: application to the Boussinesq and Mikhailov-Shabat systems
This page was built for publication: A KdV equation in 2+1 dimensions: Painlevé analysis, solutions and similarity reductions
