Kink Dynamics and the Third Integral of Motion in the Double Sine-Gordon Equation
スポンサーリンク
概要
- 論文の詳細を見る
It is shown that in certain asymptotic space-time region the dynamics of the double sine-Gordon (DSG) kinks are described by the Toda lattice (TL) equation. A candidate for the third integral of motion to the DSG equation is proposed with the help of integrability of the TL equation. The time dependence of the proposed integral of motion is numerically studied for the kink-kink and kink-antikink collisions and is related to whether trajectories in phase space are regular or chaotic.
- 富山県立大学の論文
著者
-
Ishimori Y
Toyama Prefectural Univ.
-
ISHIMORI Yuji
Department of Electronics and Informatics, Faculty of Engineering
-
Ishimori Yuji
Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University
-
Ishimori Yuji
Department Of Applied Mathematics And Physics Kyoto University
関連論文
- Kink Dynamics and the Third Integral of Motion in the Double Sine-Gordon Equation
- 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
- Periodic Wave and Rational Soliton Solutions of the Benjamin-Ono Equation
- Explicit Energy-Conserving Difference Mothods for Hamiltonian Dynamics with Certain Types of Potential
- 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
- Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation : Condensed Matter and Statistical Physics
- Solitons in a One-Dimensional Lennard-Jones Lattice