A bilinear approach to a Pfaffian self-dual Yang-Mills equation

DOI10.1017/S001708950100009XzbMath0986.35109MaRDI QIDQ2744542

Claire R. Gilson, Jonathan J. C. Nimmo, Yasuhiro Ohta

Publication date: 27 February 2002

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

self-dual Yang-Mills equationdeterminant solution

Mathematics Subject Classification ID

Related Items (27)

Pfaffianization of the two-dimensional Toda lattice ⋮ Applying the Pfaffianization procedure to the two-dimensional Leznov lattice ⋮ A Riemann-Hilbert approach in the form of a block matrix for the coupled matrix integrable system ⋮ On the integrable discrete versions of the Leznov lattice: determinant solutions and pfaffianization ⋮ Commutativity of Pfaffianization and Bäcklund transformation: The semi-discrete Toda equation ⋮ Commutativity of Pfaffianization and Bäcklund transformations for a special two-dimensional lattice ⋮ On the \((2+1)\)-dimensional Gardner equation: Determinant solutions and pfaffianization ⋮ The non-isospectral modified Kadomtsev-Petviashvili equation with self-consistent sources and its coupled system ⋮ Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy ⋮ Cauchy matrix approach to the SU(2) self‐dual Yang–Mills equation ⋮ A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms ⋮ Pfaffianization of the semi-discrete Toda equation ⋮ Grammian solutions and pfaffianization of a non-isospectral and variable-coefficient Kadomtsev-Petviashvili equation ⋮ A \((2+1)\)-dimensional sinh-Gordon equation and its Pfaffian generalization ⋮ On the pfaffianized-KP equation with self-consistent sources ⋮ The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system ⋮ Pfaffianization of the variable-coefficient KP equation ⋮ Matrix integral solutions to the discrete and coupled Leznov lattice equations ⋮ Grammian solutions and Pfaffianization of the non-isospectral modified Kadomtsev-Petviashvili equation ⋮ On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources ⋮ A semi-discrete Kadomtsev-Petviashvili equation and its coupled integrable system ⋮ Commutativity of Pfaffianization and Bäcklund Transformations: The Leznov Lattice ⋮ BÄCKLUND TRANSFORMATION OF A NON-ISOSPECTRAL KPESCS AND ITS NONLINEAR COUPLED SYSTEM ⋮ Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation ⋮ Pfaffianization of the discrete three-dimensional three wave interaction equation ⋮ A pfaffian version of the modified discrete KP equation ⋮ On the general variable-coefficient KP equation with self-consistent sources

This page was built for publication: A bilinear approach to a Pfaffian self-dual Yang-Mills equation