247 citations · 418 across the 8 of their papers we have counts for
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The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems
Jing Yu, Jingsong He, Wen-Xiu Ma +1
An explicit Bargmann symmetry constraint is computed and its associated binary nonlinearization of Lax pairs is carried out for the super Dirac systems. Under the obtained symmetry…
Direct search for exact solutions to the nonlinear Schroedinger equation
Wen-Xiu ma, Min Chen
A five-dimensional symmetry algebra consisting of Lie point symmetries is firstly computed for the nonlinear Schroedinger equation, which, together with a reflection invariance, ge…
An application of the Casoratian technique to the 2D Toda lattice equation
Wen-Xiu Ma
A general Casoratian formulation is proposed for the 2D Toda lattice equation, which involves coupled eigenfunction systems. Various Casoratian type solutions are generated, throug…
A discrete variational identity on semi-direct sums of Lie algebras
Wen-Xiu Ma
The discrete variational identity under general bilinear forms on semi-direct sums of Lie algebras is established. The constant involved in the variational identity is determin…
Additional Symmetry of CKP hierarchy
Jingsong He, Kelei Tian, Angela Foerster +1
Based on the Orlov and Shulman's M operator, the additional symmetries and the string equation of the CKP hierarchy are established, and then the higher order constraints on …
Semi-direct sums of Lie algebras and discrete integrable couplings
Wen-Xiu Ma, Xi-Xiang Xu, Yufeng Zhang
A relation between semi-direct sums of Lie algebras and integrable couplings of lattice equations is established, and a practicable way to construct integrable couplings is further…