Some \((2 + 1)\)-dimensional nonlocal ``breaking soliton-type systems

DOI10.1016/j.aml.2018.12.011zbMath1410.35221OpenAlexW2906476556MaRDI QIDQ1726652

Dafeng Zuo, Xiaoming Zhu

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.12.011

zbMATH Keywords

decompositionDarboux transformationdark soliton solution``breaking soliton-type systemsanti-dark soliton solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) 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 (7)

Solutions to integrable space-time shifted nonlocal equations ⋮ Integrable decomposition for the (2+1)-dimensional AKNS hierarchy and its applications ⋮ A coupled \((2+1)\)-dimensional mKdV system and its nonlocal reductions ⋮ Solutions of the nonlocal (2+1)-D breaking solitons hierarchy and the negative order AKNS hierarchy ⋮ Multi-place physics and multi-place nonlocal systems ⋮ On \((2+1)\)-dimensional mixed AKNS hierarchy ⋮ Solutions to nonlocal nonisospectral (2 + 1)-dimensional breaking soliton equations

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