Long-time behaviour of soliton ensembles. I: Emergence of ensembles.

DOI10.1016/S0960-0779(02)00069-3zbMath1037.35072OpenAlexW1993901381MaRDI QIDQ1419084

Yu. K. Ehngel'brekht, Andrus Salupere, Pearu Peterson

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00069-3

zbMATH Keywords

harmonic excitationKdV solitonssoliton ensembles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (14)

Waves in microstructured solids and the Boussinesq paradigm ⋮ On the complexity of signal propagation in nerve fibres ⋮ Hidden solitons in the Zabusky-Kruskal experiment: analysis using the periodic, inverse scattering transform ⋮ Long-time behaviour of soliton ensembles. I: Emergence of ensembles. ⋮ Soliton spectra of random water waves in shallow basins ⋮ Numerical study on Fermi-Pasta-Ulam-Tsingou problem for 1D shallow-water waves ⋮ Emergence of Solitonic Structures in Hierarchical Korteweg–de Vries Systems ⋮ On the influence of material properties on the wave propagation in Mindlin-type microstructured solids ⋮ Nonlinear disintegration of sine wave in the framework of the Gardner equation ⋮ Propagation of \(sech^2\)-type solitary waves in hierarchical KdV-type systems ⋮ Numerical modeling of the KdV random wave field ⋮ On solitonic solutions for the hyperelastic rod equation ⋮ APPLICATION OF HIGHER ORDER HAAR WAVELET METHOD FOR SOLVING NONLINEAR EVOLUTION EQUATIONS ⋮ On the long-time behaviour of soliton ensembles

Uses Software

• VODE

Cites Work

• Internal structure of the two-soliton solution of the KdV equation
• On the dynamics of soliton interactions for the Korteweg-de Vries equation
• On the problem of energy equipartition for large systems of the Fermi- Pasta-Ulam type: Analytical and numerical estimates
• On the KdV soliton formation and discrete spectral analysis
• Long-time behaviour of soliton ensembles. I: Emergence of ensembles.
• The Lorenz-Fermi-Pasta-Ulam experiment
• The Korteweg-de Vries Two-Soliton Solution as Interacting Two Single Solitons
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• On the Structure During Interaction of the Two-Soliton Solution of the Korteweg–de Vries Equation
• Soliton interactions (for the Korteweg-deVries equation): a new perspective
• On the Interaction of Nearly Equal Solitons in the KdV Equation
• Recurrence of initial state of the Korteweg–de Vries equation
• Soliton Creation and Destruction, Resonant Interactions, and Inelastic Collisions in Shallow Water Waves
• Soliton interaction for the extended Korteweg-de Vries equation
• Integrals of nonlinear equations of evolution and solitary waves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Long-time behaviour of soliton ensembles. I: Emergence of ensembles.