Multi-dark-dark solitons of the integrable repulsive AB system via the determinants

DOI10.1063/1.4998140zbMath1388.37077OpenAlexW2743918949WikidataQ47704749 ScholiaQ47704749MaRDI QIDQ4644279

Zhenya Yan, Guoqiang Zhang, Xiao-Yong Wen

Publication date: 30 May 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4998140

zbMATH Keywords

nonlinear opticsDarboux transformationgeophysical fluid dynamicsloop group method

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

Quasi-periodic waves and irregular solitary waves of the AB system, Non-holonomic and quasi-integrable deformations of the AB equations, On a variable-coefficient AB system in a baroclinic flow: generalized Darboux transformation and non-autonomous localized waves, Bright-dark soliton solutions of the multi-component AB system, Multi-bright-dark soliton solutions to the AB system in nonlinear optics, Breather solutions to the AB system with non-zero background, Antidark solitons and soliton molecules in a \((3 + 1)\)-dimensional nonlinear evolution equation, Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics, Integrable discretizations of AB system and multi-soliton solutions, \(N\)th-order rogue waves for the \(AB\) system via the determinants, The n -component nonlinear Schrödinger equations: dark–bright mixed N - and high-order solitons and breathers, and dynamics, Higher-order semirational solutions and W-shaped solitons for the multi-component AB system, Supersymmetric integrable AB system, Mixed solutions for an AB system in geophysical fluids or nonlinear optics

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