Quasi-integrable deformations of the Bullough-Dodd model

DOI10.1007/JHEP03(2015)152zbMath1388.83038arXiv1501.01821OpenAlexW2963580806MaRDI QIDQ1755077

Xianqiang Yang

Publication date: 31 May 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01821

zbMATH Keywords

integrable hierarchiesintegrable field theoriesintegrable equations in physics

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

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Quasi-integrability in the modified defocusing non-linear Schrödinger model and dark solitons ⋮ Modified nonlinear Schrödinger models, 𝒞𝒫s𝒯d invariant N-bright solitons and infinite towers of anomalous charges ⋮ Quasi-integrable KdV models, towers of infinite number of anomalous charges and soliton collisions ⋮ Quasi-integrability in deformed sine-Gordon models and infinite towers of conserved charges ⋮ Quasi-integrability of deformations of the KdV equation ⋮ Riccati-type pseudo-potentials, conservation laws and solitons of deformed sine-Gordon models ⋮ Quasi-integrable non-linear Schrödinger models, infinite towers of exactly conserved charges and bright solitons

Cites Work

• The concept of quasi-integrability: a concrete example
• The Bullough-Dodd model coupled to matter fields
• The reduction problem and the inverse scattering method
• Lie algebras and equations of Korteweg-de Vries type
• The concept of quasi-integrability for modified nonlinear Schrödinger models
• THE CONSERVED CHARGES AND INTEGRABILITY OF THE CONFORMAL AFFINE TODA MODELS
• Breather-like structures in modified sine-Gordon models
• Integrals of nonlinear equations of evolution and solitary waves