Long-time decay of the solutions of the Davey-Stewartson II equations

DOI10.1007/BF01212909zbMath0847.35124MaRDI QIDQ1911617

L.-Y. Sung

Publication date: 18 June 1996

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

inverse scatteringdefocusing casefocusing caseDavey-Stewartson II equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (10)

Energy scattering for the generalized Davey-Stewartson equations ⋮ The Davey-Stewartson equation on the half-plane ⋮ Soliton solutions and their (in)stability for the focusing Davey–Stewartson II equation ⋮ On the integrability of linear and nonlinear partial differential equations ⋮ High precision numerical approach for Davey–Stewartson II type equations for Schwartz class initial data ⋮ IST Versus PDE: A Comparative Study ⋮ Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations ⋮ A numerical approach to Blow-up issues for Davey-Stewartson II systems ⋮ Remarks on the full dispersion Davey-Stewartson systems ⋮ On the initial value problem and scattering of solutions for the generalized Davey-Stewartson systems

Cites Work

• Analytic solutions to nonelliptic nonlinear Schrödinger equations
• Decay estimates for Schrödinger equations
• Nonelliptic Schrödinger equations
• An inverse scattering transform for the Davey-Stewartson II equations. III
• An inverse scattering transform for the Davey-Stewartson II equations. I
• An inverse scattering transform for the Davey-Stewartson II equations. II
• On the evolution of packets of water waves
• On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
• On the initial value problem for the Davey-Stewartson systems
• Solutions of the generalized nonlinear Schrödinger equation in two spatial dimensions
• Prolongation structures and nonlinear evolution equations in two spatial dimensions. II. A generalized nonlinear Schrödinger equation
• Linear spectral problems, non-linear equations and the δ-method
• On three-dimensional packets of surface waves
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