On the inverse scattering transform of the 2+1 Toda equation

DOI10.1016/0167-2789(93)90004-KzbMath0771.35065OpenAlexW2055462894MaRDI QIDQ2367673

Javier Villarroel, Mark J. Ablowitz

Publication date: 18 August 1993

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90004-k

zbMATH Keywords

Toda latticeSommerfeld radiation conditionKadomtsev-Petviashvili equationchoices of signs

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Discrete version of topics in analysis (39A12) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

New 2+1 dimensional nonisospectral Toda lattice hierarchy, Nondegeneracy of the traveling lump solution to the 2 + 1 Toda lattice, Weakly decaying solutions of nonlinear Schrödinger equation in the plane, Discrete spectrum of \(2 + 1\)-dimensional nonlinear Schrödinger equation and dynamics of lumps, Lie algebraic approach to the construction of (2+1)-dimensional lattice-field and field integrable Hamiltonian equations, Nonclassical symmetry reductions of the Boussinesq equation

Cites Work

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• On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
• On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
• On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
• Rigorous bounds on the power spectrum of arbitrary prime eta -order renormalisation group equations
• Yang-Mills equations and the inverse scattering transform
• The inverse scattering transform: Semi-infinite interval