Generalized Casorati Determinant and Positon-Negaton-Type Solutions of the Toda Lattice Equation (General)

スポンサーリンク

概要

• 論文の詳細を見る

• A set of conditions is presented for Casorati determinants to give solutions to the Toda lattice equation. It is used to establish a relation between the Casorati determinant solutions and the generalized Casorati determinant solutions. Positons, negatons and their interaction solutions of the Toda lattice equation are constructed through the generalized Casorati determinant technique. A careful analysis is also made for general positons and negatons, the resulting positons and negatons of order one being explicitly computed. The generalized Casorati determinant formulation for the two dimensional Toda lattice (2dTL) equation is presented. It is shown that positon, negaton and complexiton type solutions in the 2dTL equation exist and these solutions reduce to positon, negaton and complexiton type solutions in the Toda lattice equation by the standard reduction procedure.

• 社団法人日本物理学会の論文
• 2004-04-15

著者

• Ma Wen-xiu

  Department Of Mathematics University Of South Florida

• Ma Wen-xiu

  Department Of Mathematics City University Of Hong Kong

• OIKAWA Masayuki

  Research Institute for Applied Mechanics,Kyushu University

• Oikawa Masayuki

  Research Information Center Institute Of Plasma Physics Nagoya University:research Institute For App

• MARUNO Ken-ichi

  Faculty of Mathematics, Kyushu University

• Maruno Ken-ichi

  Faculty Of Mathematics Kyushu University

• Maruno Ken-ichi

  Faculty Of Mathematics Kyushu University:department Of Applied Mathematics University Of Colorado

関連論文

• Two-Dimensional Resonant Interaction between Long and Short Waves
• The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited : General Physics
• Three-Dimensional Instasbilities of Capillary Gravity Waves of Permanent Form near the Fourth Harmonic Resonance
• Two-Dimensional Instabilities of Weakly Nonlinear Capillary Gravity Waves of Permanent Form near the Fourth Harmonic Resonance
• Direct Simulation of Unsteady Capillary Gravity Waves on Deep Water
• Modulated Langmuir Waves and Nonlinear Landau Damping
• Modulated Langmuir Waves and Nonlinear Landau Damping
• Interaction of Ion-Acoustic Solitons in Three-Dimensional Space
• Shallow Water Waves Propagating along Undulation of Bottom Surface
• Finite Dimensional Integrable Hamiltonian Systems Associated with DSI Equation by Bargmann Constraints : General Physics
• Two-dimensional Interaction of Solitary Waves in a Modified Kadomtsev-Petviashvili Equation(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
• Generalized Casorati Determinant and Positon-Negaton-Type Solutions of the Toda Lattice Equation (General)
• A Numerical Study on the Reflection of a Solitary Wave in Shallow Water
• Stability of Flow between Eccentric Rotating Cylinders
• Stability of Flow between Eccentric Rotaing Cylinders with a Wide Gap
• Breakdown and Rearrangement of Vortex Streets in a Far Wake
• The Linear Stability of Finite Amplitude Surface Waves on a Linear Shearing Flow
• Casorati Determinant Form of Dark Soliton Solutions of the Discrete Nonlinear Schrödinger Equation
• The Resonant Interaction between a Long Internal Gravity Wave and a Surface Gravity Wave Packet
• Long Internal Waves of Large Amplitude in a Two-Layer Fluid
• New Classical and Quantum Integrable Systems Related to the MkdV Integrable Hierarchy
• Two-dimensional interactions of solitons in a two-layer fluid of finite depth
• Wave Number Downshift in Modulated Wavetrain through a Nonlinear Damping Effect
• Oblique Interaction of Solitons in an Extended Kadomtsev-Petviashvili Equation(Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid mechanics)
• Effect of the Third-Order Dispersion on the Nonlinear Schrodinger Equation
• Oblique interactions of weakly nonlinear long waves in dispersive systems
• A Multipotential Generalization of the Nonlinear Diffusion Equation : General Physics
• Two-Dimensional Interaction of Internal Solitary Waves in a Two-Layer Fluid
• Master Symmetries from Lax Operators for Certain Lattice Soliton Hierarchies : General Physics
• Formation and Interaction of Sonic-Langmuir Solitons : Inverse Scattering Method
• A Class of Exactly Solvable Nonlinear Evolution Equations
• Soliton, Positon and Negaton Solutions to a Schrodinger Self-consistent Source Equation(General)
• Two-dimensional Interaction of Solitary Waves in a Modified Kadomtsev-Petviashvili Equation(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
• Oblique interaction of internal solitary waves in a two-layer fluid of infinite depth

もっと見る 閉じる

スポンサーリンク