On the integrability of a new Davey-Stewartson type equation in \(2+1\) dimensions

DOI10.1016/S0375-9601(99)00842-7zbMath0947.35149OpenAlexW1975872852WikidataQ126572772 ScholiaQ126572772MaRDI QIDQ1569506

Attilio Maccari

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00842-7

zbMATH Keywords

integrabilityreductionLax pair

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items

The Matrix KadomtsevPetviashvili Equation as a Source of Integrable Nonlinear Equations ⋮ The investigation into new integrable systems of equations in 2+1-dimensions ⋮ Solitons trapping for the nonlinear Klein-Gordon equation with an external excitation. ⋮ Symmetry group and exact solutions for the 2+1 dimensional Ablowitz–Kaup–Newell–Segur equation ⋮ A class of integrable Davey–Stewartson type systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the integrability of equations of Davey-Stewartson type
• Recursion operators and bi-Hamiltonian structures in multidimensions. I
• Approximate solution of a class of nonlinear oscillators in resonance with a periodic excitation
• Dissipative bidimensional systems and resonant excitations
• Construction of scattering data for a class of multidimensional scattering operators
• Nonlinear evolution equations, rescalings, model PDEs and their integrability: II
• Nonlinear evolution equations, rescalings, model PDES and their integrability: I
• Rigorous bounds on the power spectrum of arbitrary prime eta -order renormalisation group equations
• The Boussinesq equation as a source of equations integrable by the spectral transform
• First and second order nonlinear evolution equations from an inverse spectral problem
• On the soliton solutions of the Davey-Stewartson equation for long waves
• Davey–Stewartson type equations of the second and third order: Derivation and classification
• A new integrable Davey–Stewartson-type equation
• A generalized Hirota equation in 2+1 dimensions
• On three-dimensional packets of surface waves
• The Kadomtsev–Petviashvili equation as a source of integrable model equations