A Generalization of Inverse Scattering Method

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概要

• 論文の詳細を見る

• A new scheme of the inverse scattering method is proposed. As an illustrationof novel feature of our scheme, the set of fuutdamental equations has beenpresented for a generalized nc>nlinear Schr6dinger equation, of which nonlinearterms are composed of a usual cubic nonlinear term ancl a derivative cubicnonlinear term.

• 社団法人日本物理学会の論文
• 1979-06-15

著者

• Wadati Miki

  Institute Of Applied Physics University Of Tsukuba

• Wadati Miki

  Institue Of Applied Physics Tsukuba University

• ICHIKAWA Yoshi-Hiko

  Institute of Plasma Physics,Nagoya University

• Ichikawa Yoshi-hiko

  Institute Of Plasma Physics Nagoya University

• KONNNO Kimiaki

  Department of Physics,College of Science and Technology,Nihon University

• Konnno Kimiaki

  Department Of Physics College Of Science And Technology Nihon University

• Wadati Miki

  Institute of Applied Physics,University of Tsukuba

関連論文

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• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
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• Nonlinear Transverse Vibrations of Elastic Beams under Tension
• Envelope Solition in a New Nonlinear Transmission Line
• Experimental and Theoretical Study of the Recurrence Phenomena in Nonlinear Transmission Line
• A Loop Soliton Propagating along a Stretched Rope
• New Species of Solitons (非線形波動現象の数理物理学(研究会報告))
• Classification of Exactly Solvable Two-Component Models
• Nonrelativistic Theory of Factorized S-Matrix
• Knot Theory and Conformal Field Theory : Reduction Relations for Braid Generators
• Bethe States for the Quantum Three Wave Interaction Equation
• Nonlinear Transverse Oscillation of Elastic Beams under Tension
• The Kadomtsev-Petviashvili Equation:the Trace Method and the Soliton Resonances
• Quantum Three Wave Interaction Models
• Multiple-Pole Solutions of the Modified Korteweg-de Vries Equation
• Classical Soliton as a Limit of the Quantum Field Theory
• Link Polynomials Constructed from Solvable Models in Statistical Mechanics
• Reply to Comments on "Exactly Solvable Models and New Link Polynomials"
• Exactly Solvable Models and New Link Polynomials.V.Yang-Baxter Operator and Braid-Monoid Algebra
• Exactly Solvable Models and New Link Polynomials.IV.IRF Models
• Exactly Solvable Models and New Link Polynomials.III.Two-Variable Topological Invariants
• Exactly Solvable Models and New Link Polynomials.II.Link Polynomials for Closed 3-Braids
• Yang-Baxter Relations for Spin Models and Fermion Models
• Lax Pair for the One-Dimensional Hubbard Model
• The Gordon-Generalization Hierarchy of Exactly Solvable IRF Models
• Virasoro Algebra,von Neumann Algebra and Critical Eight-Vertex SOS Models
• Soliton Solution and Its Property of Unstable Nonlinear Schrodinger Equation
• Hydrogen Coverage on W(001)Surface as a Dynamical System
• New Representations of the Soliton Solution for the Korteweg-de Vries Equation
• Application of the Trace Method to the Modified Korteweg-de Vries Equation
• Lax-Pair Operators for Squared Eigenfunctions in the Inverse Scattering Transformations
• Alternative Representations of the Inverse Scattering Transformation for the K-dV Equation and the Modified K-dV Equation
• Interrelation of Alternative Sets of Lax-Pairs for a Generalized Nonlinear Schrodinger Equation
• The Quantum Nonlinear Schrodinger Model;Gelfand-Levitan Equation and Classical Soliton
• Resonant Breakup of Quantum Soliton by External Force
• Inhomogeneous Eight-Vertex SOS Model and Solvable IRF Hierarchies
• Exactly Solvable IRF Models.V.A Further New Hierarchy
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• Exactly Sovable IRF Models.III.A New Hierarchy of Solvable Models
• Exactly Solvable IRF Models.II.S_N-Generalizations
• Exactly Solvable IRF Models.I.A Three-State Model
• Wave Propagation in Nonlinear Lattice. III
• A Canonical Transformation for the Sine-Gordon Equation
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• From Solitons to Knots and Links
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• A Soliton and Two Solitons in an Exponential Lattice and Related Equations
• A Generalization of Inverse Scattering Method
• Determination of the One-Kink Curve of an Elastic Wire through the Inverse Method
• Theory of Structure Transition of Colloid
• A Canonical Transformation for the Exponential Lattice
• Quantum Inverse Scattering Method and Yang-Baxter Relation for Integrable Spin Systems
• Boost Operator and Its Application to Quantum Gelfand-Levitan Equation for Heisenberg-Ising Chain with Spin One-Half
• Conservation Laws of a Volterra System and Nonlinear Self-Dual Network Equation
• The Multiple Pole Solutions of the Sine-Gordon Equation
• Cusp Soliton of a New Integrable Nonlinear Evolution Equation
• A New Integrable Nonlinear Evolution Equation
• A Functional Integral Representation of the Soliton Solution
• Stochastic Korteweg-de Vries Equation
• General Solution and Lax Pair for 1-D Classical Massless Thirring Model
• The Modified Korteweg-de Vries Equation
• Wave Propagation in Nonlinear Lattice. I
• The Exact Solution of the Modified Korteweg-de Vries Equation
• Transformation Theories for Nonlinear Discrete Systems
• Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
• The Backlund Transformations and the Inverse Scattering Method of the Ernst Equation
• Theory of Canonical Transformations for Non linear Evolution Equations. I
• Solitons in an Unstable Medium
• An Evidence for the Existence of Kirkwood-Alder Transition
• Stochastic Korteweg-de Vries Equation with and Without Damping
• Backlund Transformation for Solutions of the Modified Korteweg-de Vries Equation
• Wave Propagation in Nonlinear Lattice. II
• The Exact N-Soliton Solution of the Korteweg-de Vries Equation
• Stochastic Property of K-dV Solitons Perturbed by Random Forces

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