Davey–Stewartson type equations of the second and third order: Derivation and classification

DOI10.1063/1.532430zbMath1001.35112OpenAlexW2014547864MaRDI QIDQ4260524

Alejandra Folguera

Publication date: 16 December 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532430

zbMATH Keywords

transformationsmodified Korteweg-de Vries equationsinverse spectral methodbi-Hamiltonian formulationMiura mapsspatial dimensional generalizations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

The Matrix KadomtsevPetviashvili Equation as a Source of Integrable Nonlinear Equations ⋮ A new integrable Davey–Stewartson-type equation ⋮ The investigation into new integrable systems of equations in 2+1-dimensions ⋮ A class of integrable Davey–Stewartson type systems ⋮ On the integrability of a new Davey-Stewartson type equation in \(2+1\) dimensions

Cites Work

• On the integrability of equations of Davey-Stewartson type
• Veselov-Novikov equation as a natural two-dimensional generalization of the Korteweg-de Vries equation
• Recursion operators and bi-Hamiltonian structures in multidimensions. I
• A Lie algebra structure in a formal variational calculation
• First and second order nonlinear evolution equations from an inverse spectral problem
• Almost Periodic Solutions of the KdV Equation
• On the simplest integrable equation in 2+1
• On three-dimensional packets of surface waves
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• Integrals of nonlinear equations of evolution and solitary waves
• Wave Instabilities