The nonabelian Toda lattice: Discrete analogue of the matrix Schrödinger spectral problem (original) (raw)

Spectrum and Generation of Solutions of the Toda Lattice

Jose Gascon

Discrete Dynamics in Nature and Society, 2009

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A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations

Wen-Xiu Ma

Journal of Physics A: Mathematical and General, 2004

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

Javier Carlos Villarroel

Physica D: Nonlinear Phenomena, 1993

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Complexiton solutions of the Toda lattice equation

Wen-Xiu Ma

Physica A: Statistical Mechanics and its Applications, 2004

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On the periodic Toda lattice with a self-consistent source

Michal Feckan

Communications in Nonlinear Science and Numerical Simulation

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Solvable systems of wave equations and non-Abelian Toda lattices

Luca Bombelli

Journal of Physics A: Mathematical and General, 1992

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A discrete Schrödinger spectral problem and associated evolution equations

F. Pempinelli, Mario Bruschi

Journal of Physics A-mathematical and General, 2003

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The differential-q-difference 2D Toda equation: bilinear form and soliton solutions

Kuralay Yesmakhanova

Journal of Physics: Conference Series, 2019

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Toda lattice with a special self-consistent source

Gayrat Urazboev

Theoretical and Mathematical Physics, 2008

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A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map

Tudor Ratiu

Bulletin of the American Mathematical Society, 1990

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On the Integrable Generalization of the 1D Toda Lattice

Ratbay Myrzakulov

2010

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Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials

Alexei Zhedanov

Methods Appl. Anal, 1995

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A discrete Schr dinger spectral problem and associated evolution equations

F. Pempinelli

Journal of Physics A: Mathematical and General, 2003

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Discrete version of the nonlinear Schrödinger equation with linearlyx-dependent coefficients

Orlando Ragnisco

Il Nuovo Cimento A, 1979

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Generalized Casorati Determinant and Positon–Negaton-Type Solutions of the Toda Lattice Equation

Wen-Xiu Ma

Journal of the Physical Society of Japan, 2004

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An Application of the Casoratian Technique to the 2D Toda Lattice Equation

Wen-Xiu Ma

Modern Physics Letters B, 2008

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Spectral analysis of discrete dirac equation with generalized eigenparameter in boundary condition

Ram Mohapatra

Filomat

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Nonlinearity and Discreteness: Solitons in Lattices

Boris Malomed

Emerging Frontiers in Nonlinear Science, 2020

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Bethe ansatz for the Toda lattice: Ground state and excitations

Franz Mertens

Zeitschrift f�r Physik B Condensed Matter, 1984

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Discrete Nonlinear Schrödinger Equations with Time-Dependent Coefficients (Management of Lattice Solitons)

Jesús Cuevas

Springer Tracts in Modern Physics, 2009

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Inverse problem with transmission eigenvalues for the discrete Schrödinger equation

vassilis papanicolaou

Journal of Mathematical Physics, 2015

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The N=2 supersymmetric Toda lattice and matrix models

L. Bonora

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Soliton solutions of the Toda hierarchy on quasi-periodic backgrounds revisited

Johanna Michor, Iryna Egorova, Gerald Teschl

Mathematische Nachrichten, 2009

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Rational solutions of the Toda lattice equation in Casoratian form

Wen-Xiu Ma

Chaos, Solitons & Fractals, 2004

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Structure of Noncommutative Solitons: Existence and Spectral Theory

Avy Soffer

Letters in Mathematical Physics, 2015

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An application of the integrable discrete hungry Toda equation to the eigenvalue computation

Yoshimasa Nakamura

1999

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A new spectral transform for the Davey-Stewartson I equation

F. Pempinelli

Physics Letters A, 1989

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Peakons, r-matrix and Toda lattice

Mario Bruschi

Physica A-statistical Mechanics and Its Applications, 1996

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The finite non-periodic toda lattice: A geometric and topological viewpoint

Yuji Kodama

2008

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A Mel'nikov approach to soliton-like solutions of systems of discretized nonlinear Schrödinger equations

Tassos Bountis

Physica D: Nonlinear Phenomena, 1998

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On two different bi-Hamiltonian structures for the Toda lattice

Andrey Tsiganov

Journal of Physics A: Mathematical and Theoretical, 2007

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Nonlocal integrable partners to generalized MKdV and two-dimensional Toda lattice equation in the formalism of a dressing method with quantized spectral parameter

S. Pakuliak

Communications in Mathematical Physics, 1991

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Spectral degeneracy of the lattice dirac equation as a function of lattice shape

Alan Chodos

Nuclear Physics B, 1977

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Dissipative Toda-Rayleigh lattice and its oscillatory modes

EZEQUIEL DEL RIO

Physical review. E, Statistical, nonlinear, and soft matter physics, 2001

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