Periodic Wave and Rational Soliton Solutions of the Benjamin-Ono Equation
スポンサーリンク
概要
- 論文の詳細を見る
An exact solution describing a multiple collision of periodic waves is obtainedfor the Benjamiia-Ono equation. It is shown that the solution reduces to therational multi-soliton solution in a long wave limit.
- 社団法人日本物理学会の論文
- 1979-02-15
著者
-
Satsuma Junkichi
Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University
-
Ishimori Yuji
Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University
関連論文
- An Elementary Introduction to Sato Theory
- Solutions of the Broer-Kaup System through Its Trilinear Form
- Modulated Langmuir Waves and Nonlinear Landau Damping
- On oscillatory solutions in ultradiscrete system (Expansion of Integrable Systems)
- On oscillatory solutions of the ultradiscrete Sine-Gordon equation
- Interaction of Ion-Acoustic Solitons in Three-Dimensional Space
- Shallow Water Waves Propagating along Undulation of Bottom Surface
- Properties of the Magma and Modified Magma Equations
- Soliton Solutions of the Mel'nikov Equations
- A Representation fo Solutions for the KP Hierarchy and Its Algebraic Structure
- Wronskian Structures of Solutions for Soliton Equations
- Solutios of the Kadomtsev-Petviashvili Equation and the Two-Dimensional Toda Equations
- B Initial Value Problems of One-Dimensional self-Modulation of Nonlinear Waves in Dispersive Media (Part V. Initial Value Problems)
- Soliton Solutions in a Diatomic Lattice System
- New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrodinger Equation
- N-Soliton Solution of the K-bV Equation with Loss and Nonuniformity Terms
- Chopping Phenomenon of a Nonlinear System
- A Soliton Cellular Automaton
- q-Difference Version of the Two-Dimensional Toda Lattice Equation
- Exact Solutions of a Nonlinear Diffusion Equation
- A New-Type of Soliton Behavior in a Two Dimensional Plasma System
- An N-Soliton Solution for the Nonlinear Schrodinger Equation Coupled to the Boussinesq Equation
- Multi-Soliton Solutions of a Coupled System of the Nonlinear Schrodinger Equation and the Maxwell-Bloch Equations
- N-Soliton Solutions of Nonlinear Network Equations Describing a Volterra System
- A Variety of Nonlinear Network Equations Generated from the Backlund Transformation for the Toda Lattice
- Explicit Solutions of Nonlinear Equations with Density Dependent Diffusion
- Higher Conservation Laws for the Korteweg-de Vries Equation through Backlund Transformation
- Nonlinear Evolution Equations Generated from the Backlund Transformation for the Toda Lattice
- Nonlinear Evolution Equations Generated from the Backlund Transformation for the Boussinesq Equation
- Bilinearization of a Generalized Derivative Nonlinear Schrodinger Equation
- Kink Dynamics and the Third Integral of Motion in the Double Sine-Gordon Equation
- Finite Amplitude Ion Acoustic Waves in a Plasmon Gas
- Dynamics of Topological Vortices in Two-Dimensional Nonlinear Wave Systems.II.Numerical Simulations
- Dynamics of Topological Vortices in Two-Dimensional Nonliniear Wave Systems.I.Lagrangian Approach
- On the Modefied Korteweg-de Vries Soliton and the Loop Soliton
- The Lotka-Volterra Equations and the QR Algorithm
- Integrable Four-Dimensional Nonlinear Lattice Expressed by Trilinear Form
- Periodic Wave and Rational Soliton Solutions of the Benjamin-Ono Equation
- Explicit Energy-Conserving Difference Mothods for Hamiltonian Dynamics with Certain Types of Potential
- A Backlund Transformation for a Higher Order Korteweg-De Vries Equation
- N-Soliton Solutions of Model Equations for Shallow Water Waves
- Kink Dynamics in the Discrete Sine-Gordon System A Perturbational Approach
- A Relationship between the Ablowitz-Kaup-Newell-Segur and Wadati-Konno-Ichikawa Schemes of the Inverse Scattering Method
- An Integrable Classical Spin Chain
- Higher Conservation Laws for the Nonlinear Schrodinger Equation through Backlund Transformation
- Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation : Condensed Matter and Statistical Physics
- Solitons in a One-Dimensional Lennard-Jones Lattice
- N-Soliton Solution of the Two- Dimensional Korteweg-de Vries Equation