The inverse problem for a general \(n \times n\) spectral equation
From MaRDI portal
Publication:995173
DOI10.1016/0167-2789(82)90004-5zbMath1194.35524OpenAlexW2039886763MaRDI QIDQ995173
Publication date: 13 September 2010
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(82)90004-5
KdV equations (Korteweg-de Vries equations) (35Q53) Miscellaneous topics in partial differential equations (35R99)
Related Items
Long-time asymptotics of the good Boussinesq equation with q xx-term and its modified version, Multidimensional nonlinear evolution equations and inverse scattering, The "good" Boussinesq equation: a Riemann-Hilbert approach, The Boussinesq equation revisited, A Riemann-Hilbert approach for the Novikov equation, Low-amplitude instability as a premise for the spontaneous symmetry breaking in the new integrable semidiscrete nonlinear system, Gauge theory of Bäcklund transformations. II, Perturbation theory for nearly integrable multicomponent nonlinear PDEs, Recursion operators and bi-Hamiltonian structures in multidimensions. I, On the Caudrey-Beals-Coifman System and the Gauge Group Action, Completeness of the eigenfunctions for the Caudrey–Beals–Coifman system, The singular solutions of a nonlinear evolution equation taking continuous part of the spectral data into account in inverse scattering method, A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation, Initial-boundary value problems for integrable evolution equations with \(3\times 3\) Lax pairs, Integrability and a new breed of solitons of an NLS type equation in \(2+1\) dimensions, The inverse problem for some special spectral data, Solution of the Cauchy problem for a generalized sine–Gordon equation, Six-component semi-discrete integrable nonlinear Schrödinger system, Canonical structure of soliton equations. I, Approach in theory of nonlinear evolution equations: the Vakhnenko-Parkes equation, Integrable semi-discretization of the coupled modified KdV equations, Semidiscrete Integrable Nonlinear Systems Generated by the New Fourth Order Spectral Operator: Systems of Obverse Type, CBC Systems with Mikhailov Reductions by Coxeter Automorphism: I. Spectral Theory of the Recursion Operators, Four-Wave Semidiscrete Nonlinear Integrable System with 𝒫𝒯-Symmetry, Semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site resonant coupling, Four-component integrable systems inspired by the Toda and the Davydov-Kyslukha models, RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION, A generalized Liouville's formula, Inverse scattering transform for the nonlinear Schrödinger system on a zigzag-runged ladder lattice, Nonclassical symmetry reductions of the Boussinesq equation, Symmetries of a Class of Nonlinear Fourth Order Partial Differential Equations, Special singularity function for continuous part of the spectral data in the associated eigenvalue problem for nonlinear equations, The generalised Zakharov–Shabat system and the gauge group action, On the complete integrability of completely integrable systems, Bäcklund transformations related to the Kaup-Newell spectral problem, The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method., Nonclassical symmetry reductions of nonlinear partial differential equations
Cites Work
