2010

Bass, L., Nimmo, J. J. C. , Rogers, C., and Schief, W. K. (2010) Electrical structures of interfaces: a Painleve II model. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466 (2119). pp. 2117-2136. ISSN 1364-5021 (doi:10.1098/rspa.2009.0620)

Kakei, S., Nimmo, J.J.C. , and Willox, R. (2010) Yang-Baxter Maps from the Discrete BKP Equation. Symmetry, Integrability and Geometry: Methods and Applications, 6 . p. 28. ISSN 1815-0659 (doi:10.3842/SIGMA.2010.028)

Li, C. X., and Nimmo, J. J. C. (2010) Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466 (2120). pp. 2471-2493. ISSN 1364-5021 (doi:10.1098/rspa.2009.0647)

2009

Li, C.X., Nimmo, J.J.C. , and Tamizhmani, K.M. (2009) On solutions to the non-Abelian Hirota–Miwa equation and its continuum limits. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 465 (2105). pp. 1441-1451. ISSN 1364-5021 (doi:10.1098/rspa.2008.0438)

Nimmo, J.J.C., and Ruijsenaars, S.N.M. (2009) Tzitzeica solitons versus relativistic Calogero–Moser three-body clusters. Journal of Mathematical Physics, 50 (4). 043511. ISSN 0022-2488 (doi:10.1063/1.3110012)

Gilson, C.R., Hamanaka, M., and Nimmo, J.J.C. (2009) Bäcklund transformations for noncommutative anti-self-dual Yang-Mills equations. Glasgow Mathematical Journal, 51 (A). pp. 83-93. ISSN 0017-0895 (doi:10.1017/S0017089508004801)

Kakei, S., Nimmo, J.J.C. , and Willox, R. (2009) Yang-Baxter maps and the discrete KP hierarchy. Glasgow Mathematical Journal, 51 (A). pp. 107-119. ISSN 0017-0895 (doi:10.1017/S0017089508004825)

Li, C.X., and Nimmo, J.J.C. (2009) A non-commutative semi-discrete Toda equation and its quasi-determinant solutions. Glasgow Mathematical Journal, 51 (A). pp. 121-127. ISSN 0017-0895 (doi:10.1017/S0017089508004837)

Gilson, C. R., Hamanaka, M., and Nimmo, J. J. C. (2009) Backlund transformations and the Atiyah-Ward ansatz for non-commutative anti-self-dual Yang-Mills equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 465 (2108). pp. 2613-2632. ISSN 1364-5021 (doi:10.1098/rspa.2008.0515)

Li, C.X., Nimmo, J.J.C. , and Tamizhmani, K.M. (2009) On solutions to the non-Abelian Hirota-Miwa equation and its continuum limits. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 465 (2105). pp. 1441-1451. ISSN 1364-5021 (doi:10.1098/rspa.2008.0438)

Nimmo, J. J. C., and Ruijsenaars, S. N. M. (2009) Tzitzeica solitons versus relativistic Calogero–Moser three-body clusters. Journal of Mathematical Physics, 50 (4). 043511. ISSN 0022-2488 (doi:10.1063/1.3110012)

2008

Liang, C.X., and Nimmo, J.J.C. (2008) Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 464 (2092). pp. 951-966. ISSN 1364-5021 (doi:10.1098/rspa.2007.0321)

Gilson, C.R., Nimmo, J.J.C. , and Sooman, C.M. (2008) On a direct approach to quasideterminant solutions of a noncommutative modified KP equation. Journal of Physics A: Mathematical and Theoretical, 41 (8). 085202. ISSN 1751-8113 (doi:10.1088/1751-8113/41/8/085202)

2007

Gilson, C.R., Nimmo, J.J.C. , and Ohta, Y. (2007) Quasideterminant solutions of a non-Abelian Hirota-Miwa equation. Journal of Physics A: Mathematical and Theoretical, 40 (42). pp. 12607-12617. ISSN 1751-8113 (doi:10.1088/1751-8113/40/42/S07)

Gilson, C.R., and Nimmo, J.J.C. (2007) On a direct approach to quasideterminant solutions of a noncommutative KP equation. Journal of Physics A: Mathematical and Theoretical, 40 (14). pp. 3839-3850. ISSN 1751-8113 (doi:10.1088/1751-8113/40/14/007)

Bialecki, M., and Nimmo, J.J.C. (2007) On pattern structures of the N-soliton solution of the discrete KP equation over a finite field. Journal of Physics A: Mathematical and Theoretical, 40 (5). pp. 949-959. ISSN 1751-8113

2006

Nimmo, J.J.C. (2006) On a non-Abelian Hirota–Miwa equation. Journal of Physics A: Mathematical and General, 39 (18). pp. 5053-5065. ISSN 0305-4470

2005

Gilson, C.R., and Nimmo, J.J.C. (2005) The relation between a 2D Lotka-Volterra equation and a 2D Toda lattice. Journal of Nonlinear Mathematical Physics, 12 (Supple). pp. 169-179. ISSN 1402-9251 (doi:10.2991/jnmp.2005.12.s2.12)

Li, C.X., Nimmo, J.J.C. , Hu, X.B., and Gegenhasi, (2005) On an integrable modified (2+1)-dimensional Lotka-Volterra equation. Journal of Mathematical Analysis and Applications, 309 (2). pp. 686-700. ISSN 0022-247X

Nimmo, J.J.C., and Orlov, A.Y. (2005) A relationship between rational and multi-soliton solutions of the BKP hierarchy. Glasgow Mathematical Journal, 47 (A). pp. 149-168. ISSN 0017-0895

Hu, X.B., Li, C.X., Nimmo, J.J.C. , and Yu, G.F. (2005) An integrable symmetric (2+1)-dimensional Lotka-Volterra equation and a family of its solutions. Journal of Physics A: Mathematical and General, 38 (1). pp. 195-204. ISSN 0305-4470

2003

Gilson, C., Hietarinta, J., Nimmo, J.J.C. , and Ohta, Y. (2003) Sasa-Satsuma higher-order nonlinear Schrodinger equation and its bilinearization and multisoliton solutions. Physical Review E, 68 (1). 016614. ISSN 1539-3755 (doi:10.1103/PhysRevE.68.016614)

2001

Gilson, C.R., Nimmo, J.J.C. , and Tsujimoto, S. (2001) Pfaffianization of the discrete KP equation. Journal of Physics A: Mathematical and General, 34 (48). pp. 10569-10575. ISSN 0305-4470 (doi:10.1088/0305-4470/34/48/320)

Gilson, C.R., and Nimmo, J.J.C. (2001) Pfaffianization of the Davey-Stewartson equations. Theoretical and Mathematical Physics, 128 (1). pp. 870-882. ISSN 0040-5779

Ohta, Y., Nimmo, J.J.C. , and Gilson, C.R. (2001) A bilinear approach to a Pfaffian self-dual Yang-Mills equation. Glasgow Mathematical Journal, 43 (A). pp. 99-108. ISSN 0017-0895 (doi:10.1017/S001708950100009X)