Evolution equations associated with the discrete analog of the matrix Schrödinger spectral problem solvable by the inverse spectral transform

DOI10.1063/1.524805zbMath0513.35026OpenAlexW1975363606MaRDI QIDQ3658402

No author found.

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.524805

zbMATH Keywords

continuum limitBäcklund transformationssoliton solutionsWronskian techniqueinverse spectral transformmatrix Schrödinger spectral problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Nonlocal reductions of the Ablowitz-Ladik equation, Recursion operator and bi-Hamiltonian structure for integrable multidimensional lattices, The Hamiltonian structure of the nonabelian Toda hierarchy, Conditions for the existence of higher symmetries of evolutionary equations on the lattice, On the integrability of certain matrix evolution equations, Integration of some differential-difference nonlinear equations using the spectral theory of normal block Jacobi matrices, Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations, Nonisospectral nonlinear difference equations, Asymptotic Solitons of the Johnson Equation

Cites Work

• The nonabelian Toda lattice: Discrete analogue of the matrix Schrödinger spectral problem
• Nonlinear differential–difference equations and Fourier analysis
• Generalised Backlund transformation for some non-linear partial differential-difference equations
• On the Solution of a Class of Nonlinear Partial Difference Equations