Properties of synchronous collisions of solitons in the Korteweg-de Vries equation
From MaRDI portal
Publication:2684137
DOI10.1016/j.cnsns.2022.107048OpenAlexW4313216210MaRDI QIDQ2684137
Tatiana V. Tarasova, Alexey V. Slunyaev
Publication date: 16 February 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.04762
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-soliton interaction as an elementary act of soliton turbulence in integrable systems
- Rogue waves in the ocean
- Broader universality of rogue waves of infinite order
- Numerical modeling of soliton turbulence within the focusing Gardner equation: rogue wave emergence
- Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation
- Advances in dynamics, patterns, cognition. Challenges in complexity
- Korteweg-de Vries equation: a completely integrable Hamiltonian system
- On the evolution of packets of water waves
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
- Critical density of a soliton gas
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- On the optimal focusing of solitons and breathers in long‐wave models
- Generalized hydrodynamics of the KdV soliton gas
This page was built for publication: Properties of synchronous collisions of solitons in the Korteweg-de Vries equation