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Author ID: gilson.claire-r Recent zbMATH articles by "Gilson, Claire R."
Published as: Gilson, C. R.; Gilson, Claire R.; Gilson, Claire; Gilson, C.

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 617 times in 239 Documents Cited by Year
The direct method in soliton theory. Translated from the 1992 Japanese original and edited by Atsushi Nagai, Jon Nimmo and Claire Gilson. Zbl 1099.35111
Hirota, Ryogo
288
2004
On the combinatorics of the Hirota \(D\)-operators. Zbl 0868.35101
Gilson, C.; Lambert, F.; Nimmo, J.; Willox, R.
80
1996
On a direct approach to quasideterminant solutions of a noncommutative KP equation. Zbl 1110.35324
Gilson, C. R.; Nimmo, J. J. C.
26
2007
A bilinear approach to a Pfaffian self-dual Yang-Mills equation. Zbl 0986.35109
Ohta, Y.; Nimmo, J. J. C.; Gilson, C. R.
24
2001
Factorization and Painlevé analysis of a class of nonlinear third-order partial differential equations. Zbl 0830.35127
Gilson, Claire; Pickering, Andrew
21
1995
Pfaffianization of the discrete KP equation. Zbl 1054.37041
Gilson, Claire R.; Nimmo, Jon J.; Tsujimoto, Satoshi
20
2001
Pfaffianization of the Davey-Stewartson equations. Zbl 0991.35083
Gilson, C. R.; Nimmo, J. J. C.
19
2001
Quasideterminant solutions of a non-abelian Hirota-Miwa equation. Zbl 1131.37308
Gilson, C. R.; Nimmo, J. J. C.; Ohta, Y.
18
2007
Generalizing the KP hierarchies: Pfaffian hierarchies. Zbl 1067.37091
Gilson, C. R.
15
2002
Binary Darboux transformations for constrained KP hierarchies. Zbl 0878.35103
Willcox, Ralph; Loris, Ignace; Gilson, Claire R.
13
1997
Applications of Darboux transformations to the self-dual Yang-Mills equations. Zbl 0971.53022
Nimmo, J. J. C.; Gilson, C. R.; Ohta, Y.
12
2000
Dromion solutions of noncommutative Davey-Stewartson equations. Zbl 1166.76009
Gilson, C. R.; Macfarlane, S. R.
10
2009
A direct method for dromion solutions of the Davey-Stewartson equations and their asymptotic properties. Zbl 0743.35074
Gilson, C. R.; Nimmo, J. J. C.
10
1991
The collision of multimode dromions and a firewall in the two-component long-wave-short-wave resonance interaction equation. Zbl 1163.35037
Radha, R.; Kumar, C. Senthil; Lakshmanan, M.; Gilson, C. R.
8
2009
On a direct approach to quasideterminant solutions of a noncommutative modified KP equation. Zbl 1134.37029
Gilson, C. R.; Nimmo, J. J. C.; Sooman, C. M.
6
2008
Two integrable differential-difference equations derived from the discrete BKP equation and their related equations. Zbl 1006.35085
Gilson, Claire R.; Hu, Xingbiao; Ma, Wenxiu; Tam, Honwah
6
2003
Self duality in super Yang-Mills theories. Zbl 0614.53075
Gilson, C. R.; Martin, I.; Restuccia, A.; Taylor, J. G.
5
1986
The relation between a 2D Lotka-Volterra equation and a 2D Toda lattice. Zbl 1105.37047
Gilson, Claire R.; Nimmo, Jonathan J. C.
5
2005
Three-dimensional three-wave interactions: A bilinear approach. Zbl 0943.35079
Gilson, Claire R.; Ratter, Mark C.
5
1998
Bäcklund transformations and the atiyah-ward ansatz for non-commutative anti-self-dual Yang-Mills equations. Zbl 1186.81087
Gilson, Claire R.; Hamanaka, Masashi; Nimmo, Jonathan J. C.
4
2009
Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation. Zbl 1179.35266
Gilson, C. R.; Nimmo, J. J. C.; Sooman, C. M.
4
2009
Entanglement and collective quantum operations. Zbl 1115.81344
Chefles, Anthony; Gilson, Claire R.; Barnett, Stephen M.
4
2000
Bäcklund transformations for non-commutative anti-self-dual Yang-Mills equations. Zbl 1172.35497
Gilson, Claire R.; Hamanaka, Masashi; Nimmo, Jonathan J. C.
3
2009
Fidelity and the communication of quantum information. Zbl 1008.81011
Barnett, Stephen M.; Gilson, Claire R.; Sasaki, Masahide
3
2001
A procedure for determining exact solutions to certain nonlinear evolution equations. Zbl 0662.76022
Gilson, C. R.; Pytka, M. A.
2
1988
Two-component KP hierarchy and the classical Boussinesq equation. Zbl 0719.35084
Freeman, N. C.; Gilson, C. R.; Nimmo, J. J. C.
2
1990
Bilinear identities and discrete equations. Zbl 1115.37357
Gilson, Claire R.
2
2000
Squeezed quantum fluctuations and noise limits in amplifiers and attenuators. Zbl 0941.81614
Gilson, C. R.; Barnett, S. M.; Stenholm, S.
1
1987
On multiple soliton solutions of some simple differential-difference equations. Zbl 1021.35095
Gilson, Claire R.; Hu, Xing-Biao; Barnett, Stephen M.
1
2002
Dromion solutions of noncommutative Davey-Stewartson equations. Zbl 1166.76009
Gilson, C. R.; Macfarlane, S. R.
10
2009
The collision of multimode dromions and a firewall in the two-component long-wave-short-wave resonance interaction equation. Zbl 1163.35037
Radha, R.; Kumar, C. Senthil; Lakshmanan, M.; Gilson, C. R.
8
2009
Bäcklund transformations and the atiyah-ward ansatz for non-commutative anti-self-dual Yang-Mills equations. Zbl 1186.81087
Gilson, Claire R.; Hamanaka, Masashi; Nimmo, Jonathan J. C.
4
2009
Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation. Zbl 1179.35266
Gilson, C. R.; Nimmo, J. J. C.; Sooman, C. M.
4
2009
Bäcklund transformations for non-commutative anti-self-dual Yang-Mills equations. Zbl 1172.35497
Gilson, Claire R.; Hamanaka, Masashi; Nimmo, Jonathan J. C.
3
2009
On a direct approach to quasideterminant solutions of a noncommutative modified KP equation. Zbl 1134.37029
Gilson, C. R.; Nimmo, J. J. C.; Sooman, C. M.
6
2008
On a direct approach to quasideterminant solutions of a noncommutative KP equation. Zbl 1110.35324
Gilson, C. R.; Nimmo, J. J. C.
26
2007
Quasideterminant solutions of a non-abelian Hirota-Miwa equation. Zbl 1131.37308
Gilson, C. R.; Nimmo, J. J. C.; Ohta, Y.
18
2007
The relation between a 2D Lotka-Volterra equation and a 2D Toda lattice. Zbl 1105.37047
Gilson, Claire R.; Nimmo, Jonathan J. C.
5
2005
The direct method in soliton theory. Translated from the 1992 Japanese original and edited by Atsushi Nagai, Jon Nimmo and Claire Gilson. Zbl 1099.35111
Hirota, Ryogo
288
2004
Two integrable differential-difference equations derived from the discrete BKP equation and their related equations. Zbl 1006.35085
Gilson, Claire R.; Hu, Xingbiao; Ma, Wenxiu; Tam, Honwah
6
2003
Generalizing the KP hierarchies: Pfaffian hierarchies. Zbl 1067.37091
Gilson, C. R.
15
2002
On multiple soliton solutions of some simple differential-difference equations. Zbl 1021.35095
Gilson, Claire R.; Hu, Xing-Biao; Barnett, Stephen M.
1
2002
A bilinear approach to a Pfaffian self-dual Yang-Mills equation. Zbl 0986.35109
Ohta, Y.; Nimmo, J. J. C.; Gilson, C. R.
24
2001
Pfaffianization of the discrete KP equation. Zbl 1054.37041
Gilson, Claire R.; Nimmo, Jon J.; Tsujimoto, Satoshi
20
2001
Pfaffianization of the Davey-Stewartson equations. Zbl 0991.35083
Gilson, C. R.; Nimmo, J. J. C.
19
2001
Fidelity and the communication of quantum information. Zbl 1008.81011
Barnett, Stephen M.; Gilson, Claire R.; Sasaki, Masahide
3
2001
Applications of Darboux transformations to the self-dual Yang-Mills equations. Zbl 0971.53022
Nimmo, J. J. C.; Gilson, C. R.; Ohta, Y.
12
2000
Entanglement and collective quantum operations. Zbl 1115.81344
Chefles, Anthony; Gilson, Claire R.; Barnett, Stephen M.
4
2000
Bilinear identities and discrete equations. Zbl 1115.37357
Gilson, Claire R.
2
2000
Three-dimensional three-wave interactions: A bilinear approach. Zbl 0943.35079
Gilson, Claire R.; Ratter, Mark C.
5
1998
Binary Darboux transformations for constrained KP hierarchies. Zbl 0878.35103
Willcox, Ralph; Loris, Ignace; Gilson, Claire R.
13
1997
On the combinatorics of the Hirota \(D\)-operators. Zbl 0868.35101
Gilson, C.; Lambert, F.; Nimmo, J.; Willox, R.
80
1996
Factorization and Painlevé analysis of a class of nonlinear third-order partial differential equations. Zbl 0830.35127
Gilson, Claire; Pickering, Andrew
21
1995
A direct method for dromion solutions of the Davey-Stewartson equations and their asymptotic properties. Zbl 0743.35074
Gilson, C. R.; Nimmo, J. J. C.
10
1991
Two-component KP hierarchy and the classical Boussinesq equation. Zbl 0719.35084
Freeman, N. C.; Gilson, C. R.; Nimmo, J. J. C.
2
1990
A procedure for determining exact solutions to certain nonlinear evolution equations. Zbl 0662.76022
Gilson, C. R.; Pytka, M. A.
2
1988
Squeezed quantum fluctuations and noise limits in amplifiers and attenuators. Zbl 0941.81614
Gilson, C. R.; Barnett, S. M.; Stenholm, S.
1
1987
Self duality in super Yang-Mills theories. Zbl 0614.53075
Gilson, C. R.; Martin, I.; Restuccia, A.; Taylor, J. G.
5
1986
all top 5

Cited by 320 Authors

17 Hu, Xingbiao
17 Ma, Wen-Xiu
11 Tian, Bo
11 Tian, Shoufu
9 Zhang, Tiantian
8 Li, Chunxia
7 Jiang, Yan
7 Sun, Yepeng
6 Chen, Yong
6 Hassan, Mahmood-Ul
6 Yu, Guofu
5 Cheng, Jipeng
5 Gao, Yitian
5 He, Jingsong
5 Nimmo, Jonathan J. C.
5 Tam, Honwah
5 Wang, Yunhu
5 Zhao, Junxiao
4 Clarkson, Peter A.
4 Fan, Engui
4 Gegenhasi
4 Saleem, U.
4 Tu, Jian-Min
4 Xu, Meijuan
4 Zhang, Yufeng
3 Amjad, Zeeshan
3 Ariznabarreta, Gerardo
3 Chang, Xiangke
3 Chen, Shouting
3 García-Ardila, Juan Carlos
3 Gilson, Claire R.
3 Gupta, Rajesh Kumar
3 Haider, Bushra
3 He, Yi
3 Li, Min
3 Li, Shihao
3 Liu, Li-Cai
3 Liu, Wenjun J.
3 Lü, Xing
3 Mañas, Manuel
3 Meng, Gao-Qing
3 Shen, Shoufeng
3 Shen, Yujia
3 Sun, Kun
3 Wang, Hongyan
3 Wang, Ming
3 Wang, Pan
3 Wang, Xiubin
3 Yilmaz, Halis
3 Zhang, Yi
3 Zhu, Zuonong
2 Akram, Ghazala
2 Barnett, Stephen M.
2 Bennai, Mohamed
2 Biswas, Anjan
2 Chouikh, A.
2 Chvartatskyi, Oleksandr
2 Doliwa, Adam
2 Feng, Lianli
2 Geng, Xianguo
2 Hood, Simon
2 Hu, Juan
2 Lambert, Franklin
2 Li, Chuanzhong
2 Li, He
2 Ma, Pan-Li
2 Ma, Zhengyi
2 Marcellán Español, Francisco
2 Müller-Hoissen, Folkert
2 Pogrebkov, Andrei K.
2 Priestley, Thomas J.
2 Qin, Bo
2 Qin, Yi
2 Qin, Zhenyun
2 Qu, Qixing
2 Restuccia, Álvaro
2 Rui, Wenjuan
2 Saïd, Tanios
2 Sajid, Naila
2 Schiebold, Cornelia
2 Singh, Manjit
2 Springael, Johan
2 Sun, Wen-Rong
2 Sun, Ya
2 Tang, Yaning
2 Temuer, Chaolu
2 Wang, Hui
2 Wang, Yufeng
2 Wang, Yun-Po
2 Xie, Xi-Yang
2 Xu, Guiqiong
2 Yang, Jianke
2 Yu, Xin
2 Zhang, Yingnan
2 Zhen, Hui-Ling
2 Zou, Li
1 Abbas, Muhammad Mohsin
1 Abualnaja, Khadijah Mohammed
1 Akuamoah, Saviour Worlanyo
1 Alagesan, Thangavel
...and 220 more Authors
all top 5

Cited in 68 Serials

26 Journal of Mathematical Physics
18 Nonlinear Dynamics
14 Applied Mathematics and Computation
13 Theoretical and Mathematical Physics
13 Journal of Nonlinear Mathematical Physics
11 Communications in Nonlinear Science and Numerical Simulation
10 Journal of Mathematical Analysis and Applications
9 Physics Letters. A
9 Applied Mathematics Letters
7 Computers & Mathematics with Applications
7 Studies in Applied Mathematics
6 Abstract and Applied Analysis
5 Chaos, Solitons and Fractals
5 Frontiers of Mathematics in China
4 Modern Physics Letters A
4 Journal of Geometry and Physics
4 Mathematics and Computers in Simulation
4 Nonlinear Analysis. Real World Applications
3 Letters in Mathematical Physics
3 Advances in Mathematics
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Modern Physics Letters B
2 Mathematical Methods in the Applied Sciences
2 Reports on Mathematical Physics
2 Physica D
2 Linear Algebra and its Applications
2 Complexity
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Journal of Modern Optics
2 International Journal of Geometric Methods in Modern Physics
2 Advances in Difference Equations
2 Journal of Physics A: Mathematical and Theoretical
2 Advances in Mathematical Physics
2 Advances in Applied Mathematics and Mechanics
2 Analysis and Mathematical Physics
1 International Journal of Modern Physics B
1 Computers and Fluids
1 Communications in Mathematical Physics
1 International Journal of Theoretical Physics
1 Journal of Fluid Mechanics
1 Nuclear Physics. B
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Reviews in Mathematical Physics
1 Computing
1 Journal of Differential Equations
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Acta Applicandae Mathematicae
1 Mathematical and Computer Modelling
1 International Journal of Mathematics
1 European Journal of Applied Mathematics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 Journal of Mathematical Sciences (New York)
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Mathematical Problems in Engineering
1 Journal of High Energy Physics
1 Physical Review Letters
1 International Journal of Quantum Information
1 Waves in Random and Complex Media
1 Journal of Mathematical Physics, Analysis, Geometry
1 Communications in Theoretical Physics
1 Bulletin of Mathematical Sciences
1 Journal of Applied Analysis and Computation
1 Axioms
1 Journal of Mathematics
1 International Journal of Applied and Computational Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year