Solutions of the Davey-Stewartson II equation with arbitrary rational localization and nontrivial interaction
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Publication:1968202
DOI10.1016/S0375-9601(97)00045-5zbMath0962.35510MaRDI QIDQ1968202
Manuel Mañas, Paolo Maria Santíni
Publication date: 7 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Related Items (15)
Soliton resonance and web structure in the Davey–Stewartson system ⋮ Lump Solutions for PDE's: Algorithmic Construction and Classification ⋮ Asymptotic analysis of the higher-order lump in the Davey-Stewartson I equation ⋮ The two-dimensional Leznov lattice equation and its various solutions ⋮ A note on Ward's chiral model ⋮ Lie symmetry analysis and conservation law of variable-coefficient Davey-Stewartson equation ⋮ Discrete spectrum of \(2 + 1\)-dimensional nonlinear Schrödinger equation and dynamics of lumps ⋮ The Darboux system: Finite-rank constraints and Darboux transformations ⋮ Asymptotic analysis of multilump solutions of the Kadomtsev-Petviashvili-I equation ⋮ New lumps of Veselov-Novikov integrable nonlinear equation and new exact rational potentials of two-dimensional stationary Schrödinger equation via \(\bar \partial\)-dressing method ⋮ NONTRIVIAL SOLITON SCATTERING IN PLANAR INTEGRABLE SYSTEMS ⋮ Bäcklund Transformation, Lax Pair and Solitons of the (2+1)-dimensional Davey-Stewartson-like Equations with Variable Coefficients for the Electrostatic Wave Packets ⋮ Rational and semi-rational solutions to the asymmetric Nizhnik–Novikov–Veselov system ⋮ Considerations on conserved quantities and boundary conditions of the \(2 + 1\)-dimensional nonlinear Schrödinger equation ⋮ Asymptotic dynamics of higher-order lumps in the Davey–Stewartson II equation
Cites Work
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- Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
- Multiple pole solutions of the nonlinear Schrödinger equation
- Nontrivial scattering of localized solitons in a \((2+1)\)-dimensional integrable system
- Darboux transformations for the Davey-Stewartson equations
- On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
- Darboux transforms for Davey-Stewartson equations and solitons in multidimensions
- On the soliton solutions of the Davey-Stewartson equation for long waves
- On three-dimensional packets of surface waves
- Finite-rank constraints on linear flows and the Davey-Stewartson equation
- Soliton solutions and nontrivial scattering in an integrable chiral model in (2+1) dimensions
- Two-component KP hierarchy and the classical Boussinesq equation
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