A super Sasa-Satsuma hierarchy and bi-Hamiltonian structures

DOI10.1016/j.aml.2018.03.011OpenAlexW2791575275WikidataQ130078714 ScholiaQ130078714MaRDI QIDQ1644130

Jiao Wei, Xiangguo Geng

Publication date: 21 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.aml.2018.03.011

zbMATH Keywords

conservation lawsbi-Hamiltonian structuressuper Sasa-Satsuma equation

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

Long-time asymptotics for the generalized Sasa-Satsuma equation

Cites Work

• A new super-extension of the KdV hierarchy
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
• A super hierarchy of coupled derivative nonlinear Schrödinger equations and conservation laws
• The fully supersymmetric AKNS equations
• A Supersymmetric AKNS Problem and Its Darboux‐Bäcklund Transformations and Discrete Systems
• Supersymmetric extension of the Korteweg–de Vries equation
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Extension of the bilinear formalism to supersymmetric KdV-type equations
• A Super Camassa–Holm Equation with N‐Peakon Solutions
• An approach to generate superextensions of integrable systems
• A super hierarchy of the vector nonlinear Schrödinger equations and Hamiltonian structures, conservation laws