Two-soliton interaction as an elementary act of soliton turbulence in integrable systems

DOI10.1016/j.physleta.2012.11.037zbMath1298.37057OpenAlexW2030293006MaRDI QIDQ469775

T. G. Talipova, A. V. Sergeeva, R. H. J. Grimshaw, E. G. Shurgalina, Gennady A. El, Efim N. Pelinovsky

Publication date: 11 November 2014

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: http://nrl.northumbria.ac.uk/42760/1/Two-soliton%20interaction%20as%20an%20elementary%20act%20of%20soliton%20turbulence%20in%20integrable%20systems.pdf

zbMATH Keywords

turbulenceKdV equationsoliton

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (11)

Mechanism of the emergence of rogue waves as a result of the interaction between internal solitary waves in a stratified basin ⋮ Critical density of a soliton gas ⋮ Mixed turbulence of breathers and narrowband irregular waves: mKdV framework ⋮ The rogue wave type solutions from multiple solitons interactions in the rotating reduced Maxwell-Bloch equations ⋮ Vector breathers in the Manakov system ⋮ Quasi-integrable KdV models, towers of infinite number of anomalous charges and soliton collisions ⋮ Properties of synchronous collisions of solitons in the Korteweg-de Vries equation ⋮ Numerical simulation of a solitonic gas in KdV and KdV-BBM equations ⋮ Numerical modeling of soliton turbulence within the focusing Gardner equation: rogue wave emergence ⋮ Nonlinear disintegration of sine wave in the framework of the Gardner equation ⋮ Soliton gas in integrable dispersive hydrodynamics

Cites Work

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• Applied Wave Mathematics
• Turbulence in Integrable Systems
• Method for Solving the Korteweg-deVries Equation
• Integrals of nonlinear equations of evolution and solitary waves

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