Singularity-structure analysis and Hirota's bilinearisation of the Davey-Stewartson equation
From MaRDI portal
Publication:3803579
DOI10.1088/0305-4470/20/17/003zbMath0656.35141OpenAlexW2078436168MaRDI QIDQ3803579
No author found.
Publication date: 1987
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/20/17/003
Painlevé propertyBäcklund transformationDavey-Stewartson equationHirota's bilinearisationsingularity-structure
Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items
Variable coefficient Davey-Stewartson system with a Kac-Moody-Virasoro symmetry algebra ⋮ A KdV equation in 2+1 dimensions: Painlevé analysis, solutions and similarity reductions ⋮ Infinite-dimensional symmetry algebras and an infinite number of conserved quantities of the (2+1)-dimensional Davey–Stewartson equation ⋮ New symmetry reductions and exact solutions of the Davey–Stewartson system. I. Reductions to ordinary differential equations ⋮ Manakov system on metric graphs: modeling the reflectionless propagation of vector solitons in networks ⋮ On the dispersionless Davey–Stewartson hierarchy: Zakharov–Shabat equations, twistor structure, and Lax–Sato formalism ⋮ On the dispersionless Davey-Stewartson system: Hamiltonian vector field Lax pair and relevant nonlinear Riemann-Hilbert problem for dDS-II system ⋮ Bäcklund Transformation, Lax Pair and Solitons of the (2+1)-dimensional Davey-Stewartson-like Equations with Variable Coefficients for the Electrostatic Wave Packets ⋮ Localized coherent structures and integrability in a generalized \((2+1)\)-dimensional nonlinear Schrödinger equation ⋮ Unified approach to Miura, Bäcklund and Darboux Transformations for Nonlinear Partial Differential Equations
