183 citations · 679 across the 24 of their papers we have counts for
5 papers · 1 filter
Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation
C. X. Li, J. J. C. Nimmo
Two families of solutions of a generalized non-Abelian Toda lattice are considered. These solutions are expressed in terms of quasideterminants, constructed by means of Darboux and…
On a direct approach to quasideterminant solutions of a noncommutative modified KP equation
C. R. Gilson, J. J. C. Nimmo, C. M. Sooman
A noncommutative version of the modified KP equation and a family of its solutions expressed as quasideterminants are discussed. The origin of these solutions is explained by means…
Bäcklund Transformations for Noncommutative Anti-Self-Dual Yang-Mills Equations
Claire R. Gilson, Masashi Hamanaka, Jonathan J. C. Nimmo
We present Backlund transformations for the noncommutative anti-self-dual Yang-Mills equation where the gauge group is G=GL(2) and use it to generate a series of exact solutions fr…
Quasideterminant solutions of a non-Abelian Hirota-Miwa equation
C. R. Gilson, J. J. C. Nimmo, Y. Ohta
A non-Abelian version of the Hirota-Miwa equation is considered. In an earlier paper [Nimmo (2006) J. Phys. A: Math. Gen. \textbf{39}, 5053-5065] it was shown how solutions express…
On a direct approach to quasideterminant solutions of a noncommutative KP equation
C. R. Gilson, J. J. C. Nimmo
A noncommutative version of the KP equation and two families of its solutions expressed as quasideterminants are discussed. The origin of these solutions is explained by means of D…