A New Derivation of the Backlund Transformation for the Volterra Lattice
スポンサーリンク
概要
- 論文の詳細を見る
Using a lattice version of the 1VIitura transformation between two nonlinear evolution systemscalled the Volterra lattice and the modified Volterra lattice, we have obtained a pair of Bickltrndtransformations for the Volterra lattice onto itself. By this forna of the transformations, we canshow the relation between the inverse scattering problems and the discrete lVIiura transformation,then derive the conservation laws and the superposition fortntrla. In a suitable contintmuna lirnit,they reduce to be a complete analogue of the Bicklund transformations for the Korteweg-deVries equations first obtained by Wahlquist and Estabrook.
- 社団法人日本物理学会の論文
- 1998-07-15
著者
-
Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
-
Kajinaga Yasumasa
Department Of Physics Gradute School Science University Of Tokyo
-
Kajinaga Yasumasa
Department Of Physics Graduate School Of Science University Of Tokyo
-
Wadati Miki
Department Of Physics Gradute School Science University Of Tokyo
関連論文
- 1/r^2相互作用系の代数的構造(低次元系の物性と場の理論,研究会報告)
- Statistical Mechanics of a One-Dimensional δ-function Bose Gas
- Bethe Ansatz Cluster Expansion Method for Quantum Integrable Particle Systems (General)
- Multicomponent Bright Solitons in F=2 Spinor Bose-Einstein Condensates(General)
- Supersymmetric Extension of the Reflection Equation Algebra and Integrable Boundary Conditions in Doped Spin-1 Model(General)
- Dark Solitons in F=1 Spinor Bose-Einstein Condensate(General)
- Wave Propagations in the F=1 Spinor Bose-Einstein Condensates(Atomic and Molecular Physics)
- Matter-Wave Solitons in an F = 1 Spinor Bose-Einstein Condensate(General)
- Phase Separation and Collective Excitations of Two-Component Bose-Einstein Condensates in Traps : General Physics
- Dynamics of Magnetically Trapped Boson-Fermion Mixtures : General Physics
- Ground State of a Bose-Einstein Condensate under Axially Symmetric Magnetic Trap
- Fermionic R-Operator Approach for the Small-Polaron Model with Open Boundary Condition
- Correlation Functions of the Asymmetric XXZ Chain and the Painleve V Equation
- Scalar Products of the Asymmetric XXZ Chain
- Stability of a Two-Component Bose-Einstein Condensate
- Stability of the D-Dimensional Nonlinear Schrodinger Equation under Confined Potential
- Spontaneous Magnetization in the Bounded XXZ Spin Chain
- Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial
- Rodrigues Formula for the Nonsymmetric Macdonald Polynomial
- Fock Spaces for the Calogero Models with Distinguishable Particles
- Soliton Propagation in a Bose-Einstein Condensate
- Singularity Formation and Self-Similar Solution in the Magnetically Trapped Bose-Einstein Condensate
- Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model
- Fermionic R-Operator for the Fermion Chain Model
- Coupled Nonlinear Schrodinger Equations for Two-Component Wave Systems
- Tri-Hamiltonian Structure and complete Integrability of Volterra Model
- The Quantum Calogero-Moser Model : Algebraic Structures
- Quantum Calogero-Moser Model and its Algebraic Structures(New Developments in Statistical Physics Similarities in Diversities,YITP Workshop)
- Integrability of the Quantum Calogero-Moser Model
- Grating Solitons in Optical Fiber
- Coupled Hybrid Nonlinear Schrodinger Equation and Optical Solitons
- Curve Lengthening Equation and Its Solutions
- Electromagnetically Induced Transparency and Soliton Propagations(General)
- Exact Analysis of δ-Function Attractive Fermions and Repulsive Bosons in One-Dimension(General)
- Non-Hermitian Random Matrices and Integrable Quantum Hamiltonians
- Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial
- Infinite Symmetry of the One-Dimensional System with Inverse Square Interactions
- Matter-Wave Bright Solitons with a Finite Background in Spinor Bose-Einstein Condensates(General)
- Exact Analysis of a δ-Function Spin-1/2 Attractive Fermi Gas with an External Magnetic Field(General)
- Ground State Properties of a Toroidally Trapped Bose-Einstein Condensate : General Physics
- Integrability of Calogero-Moser Spin System
- The Coupled Modified Korteweg-de Vries Equations
- Exact Virial Expansion for the Quantum Calogero Model
- Collapses of Wavefunctions in Multi-Dimensional Coupled Nonlinear Schrodinger Equations under Harmonic Potentials
- One-Dimensional Asymmetric Exclusion Model with Open Boundaries
- Integrable Dynamics of Discrete Surfaces II
- Integrable Dynamics of Discrete Surfaces
- Correspondence between QISM and Exchange Operator Formalism
- Motion of Discrete Curves in the Plane
- Motion of Discrete Surfaces
- Thermal Bethe Ansatz and Fractional Statistics
- Fracture Dynamics by Quenching.I.Crack Patterns
- A New Approach to Noncommutative Soliton Equations(General)
- Deformation of Solitons in Random Media
- Inhomogenious Model for DNA Dynamics
- Exact Spectrum and Partition Function of SU (mn) Supersymmetric Polychronakos Model
- A New Approach to Quantum Spin Chains at Finite Temperature
- The Quantum Calogero Model and the W-Algebra
- Rodrigues Formula for Hi-Jack Symmetric Polynomials Associated with the Quantum Calogero Model
- Correlation Length for the XXZ Spin Chain at Finite Temperature
- Davey-Stewartson Equation and Properties of Dromion
- Solutions of the Yang-Yang Integral Equation at Zero-Temperature
- Crystallization of the Bogoyavlensky Lattice
- Eigenvalue Distribution of Random Matrices at the Spectrum Edge
- Level Spacing Distributions of Random Matrix Ensembles
- Correlation Functions for Jastrow-Product Wave Functions
- Level Statistics of Discrete Schrodinger Equations and Orthogonal Polynomials
- Ergodicity of Random Matrix Ensembles Related to Orthogonal Polynomials
- Correlation Functions of Random Matrix Ensembles Related to Classical Orthogonal Polynomials. III
- An Integration Method on Generalized Circular Ensembles
- Correlation Functions of Random Matrix Ensembles Related to Classical Orthogonal Polynomials. II
- Correlation Functions of Random Matrix Ensembles Related Classical to Orthogonal Polynomials
- Thermodynamics of Particle Systems Related to Random Matrices
- Bethe Ansatz Equation for the Hubbard Model with Boundary Fields
- Lax Pair for the Hubbard Model from the Yang-Baxter Relation
- Propagation of Solitons in Random Lattices
- A Coupled Nonlinear Schrodinger Equation and Optical Solitons
- The Unstable Nonlinear Schrodinger Equation and Dark Solitons
- Scattering of Envelope Solitons by a Mass Impurity in Nonlinear Lattices
- Nonlinear Waves in Inhomogeneous Lattices
- Soliton Transmission and Reflection in Discontinuous Media
- The Rayleigh-Taylor Instability and Nonlinear Waves
- Orthogonal Symmetric Polynomials Associated with the Quantum Calogero Model
- Algebraic Construction of a New Symmetric Orthogonal Basis for the Calogero Model
- Exclusion Statistical TBA and the Quantum Calogero Model
- The SU(ν) Quantum Calogero Model and W_∞ Algebra with SU(ν) Symmetry
- Algebraic Construction of the Eigenstates for the Second Conserved Operator of the Quantum Calogero Model
- Exclusion Statistics Interpretation of the Quantum Calogero Model
- Conserved Operators in Calogero-Moser Spin System
- Construction of Integrable Spin Systems with Long-Range Interactions
- Integral Solution of Trigonometric Knizhnik-Zamolodchikov Equation; Off-Shell Bethe Ansatz Method
- Classical Calogero Model and Matrix Model
- Infinite Symmetry of the Spin Systems with Inverse Square Interactions
- Noncommutative Extension of α^^--Dressing Method
- Superfluid-Mott Insulator Transition of Spinor Bose Gases with External Magnetic Fields (General)
- Free Fall of Atomic Laser Beam with Weak Inter-Atomic Interaction : General Physics
- Gauge Transformations among Generalised Nonlinear Schrodinger Equations
- Dynamics of Breather Modes in a Nonlinear Model of DNA with Discontinuity
- Integrable Multi-Component Hybrid Nonlinear Schrodinger Equations
- Nonlinear Refraction and Reflection of Line Soliton Due to a Discontinuity