Painlevé analysis and exact solutions of the resonant Davey-Stewartson system
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Publication:763781
DOI10.1016/j.physleta.2009.10.041zbMath1235.37018OpenAlexW2084191022MaRDI QIDQ763781
Publication date: 2 April 2012
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2009.10.041
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Painlevé-type functions (33E17) Soliton solutions (35C08)
Related Items (6)
On the Lagrangian version of the Korteweg capillarity system: integrability aspects ⋮ On a Novel Resonant Ermakov-NLS System: Painlevé Reduction ⋮ On a Boussinesq Capillarity System: Hamiltonian Reductions and Associated Quartic Geometries ⋮ Dromion-like structures and stability analysis in the variable coefficients complex Ginzburg-Landau equation ⋮ Integrable Substructure in a Korteweg Capillarity Model. A Karman-Tsien Type Constitutive Relation ⋮ On a 2+1-Dimensional Whitham-Broer-Kaup System: A Resonant NLS Connection
Cites Work
- Propagating wave patterns for the `resonant' Davey-Stewartson system
- Propagating wave patterns and ``peakons of the Davey-Stewartson system
- A Variable Separation Approach to Solve the Integrable and Nonintegrable Models: Coherent Structures of the (2+1)-Dimensional KdV Equation
- Soliton resonances in a generalized nonlinear Schrödinger equation
- On three-dimensional packets of surface waves
- Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems
- RESONANCE SOLITONS AS BLACK HOLES IN MADELUNG FLUID
- Some novel nonlinear coherent excitations of the Davey–Stewartson system
- Symmetry Analysis and Similarity Solutions of a Resonant Davey–Stewartson System
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