Quasi-integrability of deformations of the KdV equation

DOI10.1016/j.nuclphysb.2018.12.004zbMath1409.35184arXiv1710.00918OpenAlexW2962719814WikidataQ128811115 ScholiaQ128811115MaRDI QIDQ1731622

F. ter Braak, Luiz Agostinho Ferreira, Wojciech J. Zakrzewski

Publication date: 13 March 2019

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00918

zbMATH Keywords

Hirota methodscattering of two and three solitons

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Soliton solutions (35C08)

Related Items (7)

Study of quasi-integrable and non-holonomic deformation of equations in the NLS and DNLS hierarchy ⋮ Modified nonlinear Schrödinger models, 𝒞𝒫s𝒯d invariant N-bright solitons and infinite towers of anomalous charges ⋮ Non-holonomic and quasi-integrable deformations of the AB equations ⋮ Quasi-integrable KdV models, towers of infinite number of anomalous charges and soliton collisions ⋮ Majorana zero mode-soliton duality and in-gap and BIC bound states in modified Toda model coupled to fermion ⋮ Riccati-type pseudo-potentials, conservation laws and solitons of deformed sine-Gordon models ⋮ Quasi-Integrability and Some Aspects of SU(3) Toda Field Theory

Cites Work

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• On a Lagrangian reduction and a deformation of completely integrable systems
• The concept of quasi-integrability: a concrete example
• A finite difference solution of the regularized long-wave equation
• Solitons and the regularized long wave equation: a nonexistence theorem.
• Inelastic interaction of nearly equal solitons for the BBM equation
• Description of the inelastic collision of two solitary waves for the BBM equation
• Numerical study of the regularized long-wave equation. I: Numerical methods
• Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
• Asymptotic stability of solitary waves
• Quasi-integrable deformations of the Bullough-Dodd model
• The concept of quasi-integrability for modified nonlinear Schrödinger models
• Asymptotic stability of solitary wave solutions to the regularized long-wave equation
• THE CONSERVED CHARGES AND INTEGRABILITY OF THE CONFORMAL AFFINE TODA MODELS
• Breather-like structures in modified sine-Gordon models
• A Concise Introduction to Linear Algebra
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• Soliton and antisoliton resonant interactions
• On exact solutions of the regularized long-wave equation: A direct approach to partially integrable equations. I. Solitary wave and solitons
• Asymptotic stability of solitary waves for the regularized long-wave equation
• Why are solitons stable?
• Integrals of nonlinear equations of evolution and solitary waves
• Model equations for long waves in nonlinear dispersive systems
• Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations

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