Gilson, Claire R.

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 Author ID: gilson.claire-r Published as: Gilson, C. R.; Gilson, Claire R.; Gilson, Claire; Gilson, C. more...less
 Documents Indexed: 34 Publications since 1986 2 Contributions as Editor Co-Authors: 34 Co-Authors with 32 Joint Publications 677 Co-Co-Authors
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Co-Authors

 4 single-authored 13 Nimmo, Jonathan J. C. 5 Barnett, Stephen M. 4 Ohta, Yasuhiro 3 Nimmo, Jon J. 3 Willox, Ralph 2 Freeman, Neil C. 2 Hamanaka, Masashi 2 Hu, Xingbiao 2 Sooman, C. M. 1 Andersson, Erika 1 Athorne, Chris 1 Chefles, Anthony 1 Eilbeck, Chris 1 Hirota, Ryogo 1 Hunter, Kieran 1 Kumar, C. Senthil 1 Lakshmanan, Muthusamy 1 Lambert, Franklin 1 Loris, Ignace 1 Ma, Wen-Xiu 1 Macfarlane, S. R. 1 Martin, Isbelia 1 Nagai, Atsushi 1 Pickering, Andrew 1 Pytka, M. A. 1 Radha, Ramaswamy 1 Ratter, Mark C. 1 Restuccia, Álvaro 1 Sasaki, Masahide 1 Satsuma, Junkichi 1 Stenholm, Stig 1 Tam, Honwah 1 Taylor, John Gerald 1 Tokihiro, Tetsuji 1 Tsujimoto, Satoshi
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Serials

 6 Journal of Physics A: Mathematical and General 6 Journal of Physics A: Mathematical and Theoretical 4 Theoretical and Mathematical Physics 3 Glasgow Mathematical Journal 2 Inverse Problems 2 Physics Letters. A 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Communications in Mathematical Physics 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Physica D 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Modern Optics 1 Journal of Nonlinear Mathematical Physics 1 Cambridge Tracts in Mathematics
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Fields

 24 Partial differential equations (35-XX) 19 Dynamical systems and ergodic theory (37-XX) 7 Quantum theory (81-XX) 3 Difference and functional equations (39-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

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
2004
On the combinatorics of the Hirota $$D$$-operators. Zbl 0868.35101
Gilson, C.; Lambert, F.; Nimmo, J.; Willox, R.
1996
On a direct approach to quasideterminant solutions of a noncommutative KP equation. Zbl 1110.35324
Gilson, C. R.; Nimmo, J. J. C.
2007
A bilinear approach to a Pfaffian self-dual Yang-Mills equation. Zbl 0986.35109
Ohta, Y.; Nimmo, J. J. C.; Gilson, C. R.
2001
Factorization and Painlevé analysis of a class of nonlinear third-order partial differential equations. Zbl 0830.35127
Gilson, Claire; Pickering, Andrew
1995
Pfaffianization of the discrete KP equation. Zbl 1054.37041
Gilson, Claire R.; Nimmo, Jon J.; Tsujimoto, Satoshi
2001
Pfaffianization of the Davey-Stewartson equations. Zbl 0991.35083
Gilson, C. R.; Nimmo, J. J. C.
2001
Quasideterminant solutions of a non-abelian Hirota-Miwa equation. Zbl 1131.37308
Gilson, C. R.; Nimmo, J. J. C.; Ohta, Y.
2007
Generalizing the KP hierarchies: Pfaffian hierarchies. Zbl 1067.37091
Gilson, C. R.
2002
Binary Darboux transformations for constrained KP hierarchies. Zbl 0878.35103
Willcox, Ralph; Loris, Ignace; Gilson, Claire R.
1997
Applications of Darboux transformations to the self-dual Yang-Mills equations. Zbl 0971.53022
Nimmo, J. J. C.; Gilson, C. R.; Ohta, Y.
2000
Dromion solutions of noncommutative Davey-Stewartson equations. Zbl 1166.76009
Gilson, C. R.; Macfarlane, S. R.
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.
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.
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.
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
2003
Self duality in super Yang-Mills theories. Zbl 0614.53075
Gilson, C. R.; Martin, I.; Restuccia, A.; Taylor, J. G.
1986
The relation between a 2D Lotka-Volterra equation and a 2D Toda lattice. Zbl 1105.37047
Gilson, Claire R.; Nimmo, Jonathan J. C.
2005
Three-dimensional three-wave interactions: A bilinear approach. Zbl 0943.35079
Gilson, Claire R.; Ratter, Mark C.
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.
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.
2009
Entanglement and collective quantum operations. Zbl 1115.81344
Chefles, Anthony; Gilson, Claire R.; Barnett, Stephen M.
2000
Bäcklund transformations for non-commutative anti-self-dual Yang-Mills equations. Zbl 1172.35497
Gilson, Claire R.; Hamanaka, Masashi; Nimmo, Jonathan J. C.
2009
Fidelity and the communication of quantum information. Zbl 1008.81011
Barnett, Stephen M.; Gilson, Claire R.; Sasaki, Masahide
2001
A procedure for determining exact solutions to certain nonlinear evolution equations. Zbl 0662.76022
Gilson, C. R.; Pytka, M. A.
1988
Two-component KP hierarchy and the classical Boussinesq equation. Zbl 0719.35084
Freeman, N. C.; Gilson, C. R.; Nimmo, J. J. C.
1990
Bilinear identities and discrete equations. Zbl 1115.37357
Gilson, Claire R.
2000
Squeezed quantum fluctuations and noise limits in amplifiers and attenuators. Zbl 0941.81614
Gilson, C. R.; Barnett, S. M.; Stenholm, S.
1987
On multiple soliton solutions of some simple differential-difference equations. Zbl 1021.35095
Gilson, Claire R.; Hu, Xing-Biao; Barnett, Stephen M.
2002
Dromion solutions of noncommutative Davey-Stewartson equations. Zbl 1166.76009
Gilson, C. R.; Macfarlane, S. R.
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.
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.
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.
2009
Bäcklund transformations for non-commutative anti-self-dual Yang-Mills equations. Zbl 1172.35497
Gilson, Claire R.; Hamanaka, Masashi; Nimmo, Jonathan J. C.
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.
2008
On a direct approach to quasideterminant solutions of a noncommutative KP equation. Zbl 1110.35324
Gilson, C. R.; Nimmo, J. J. C.
2007
Quasideterminant solutions of a non-abelian Hirota-Miwa equation. Zbl 1131.37308
Gilson, C. R.; Nimmo, J. J. C.; Ohta, Y.
2007
The relation between a 2D Lotka-Volterra equation and a 2D Toda lattice. Zbl 1105.37047
Gilson, Claire R.; Nimmo, Jonathan J. C.
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
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
2003
Generalizing the KP hierarchies: Pfaffian hierarchies. Zbl 1067.37091
Gilson, C. R.
2002
On multiple soliton solutions of some simple differential-difference equations. Zbl 1021.35095
Gilson, Claire R.; Hu, Xing-Biao; Barnett, Stephen M.
2002
A bilinear approach to a Pfaffian self-dual Yang-Mills equation. Zbl 0986.35109
Ohta, Y.; Nimmo, J. J. C.; Gilson, C. R.
2001
Pfaffianization of the discrete KP equation. Zbl 1054.37041
Gilson, Claire R.; Nimmo, Jon J.; Tsujimoto, Satoshi
2001
Pfaffianization of the Davey-Stewartson equations. Zbl 0991.35083
Gilson, C. R.; Nimmo, J. J. C.
2001
Fidelity and the communication of quantum information. Zbl 1008.81011
Barnett, Stephen M.; Gilson, Claire R.; Sasaki, Masahide
2001
Applications of Darboux transformations to the self-dual Yang-Mills equations. Zbl 0971.53022
Nimmo, J. J. C.; Gilson, C. R.; Ohta, Y.
2000
Entanglement and collective quantum operations. Zbl 1115.81344
Chefles, Anthony; Gilson, Claire R.; Barnett, Stephen M.
2000
Bilinear identities and discrete equations. Zbl 1115.37357
Gilson, Claire R.
2000
Three-dimensional three-wave interactions: A bilinear approach. Zbl 0943.35079
Gilson, Claire R.; Ratter, Mark C.
1998
Binary Darboux transformations for constrained KP hierarchies. Zbl 0878.35103
Willcox, Ralph; Loris, Ignace; Gilson, Claire R.
1997
On the combinatorics of the Hirota $$D$$-operators. Zbl 0868.35101
Gilson, C.; Lambert, F.; Nimmo, J.; Willox, R.
1996
Factorization and Painlevé analysis of a class of nonlinear third-order partial differential equations. Zbl 0830.35127
Gilson, Claire; Pickering, Andrew
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.
1991
Two-component KP hierarchy and the classical Boussinesq equation. Zbl 0719.35084
Freeman, N. C.; Gilson, C. R.; Nimmo, J. J. C.
1990
A procedure for determining exact solutions to certain nonlinear evolution equations. Zbl 0662.76022
Gilson, C. R.; Pytka, M. A.
1988
Squeezed quantum fluctuations and noise limits in amplifiers and attenuators. Zbl 0941.81614
Gilson, C. R.; Barnett, S. M.; Stenholm, S.
1987
Self duality in super Yang-Mills theories. Zbl 0614.53075
Gilson, C. R.; Martin, I.; Restuccia, A.; Taylor, J. G.
1986
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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
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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
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Cited in 32 Fields

 170 Partial differential equations (35-XX) 150 Dynamical systems and ergodic theory (37-XX) 26 Fluid mechanics (76-XX) 23 Quantum theory (81-XX) 12 Difference and functional equations (39-XX) 12 Computer science (68-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Special functions (33-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Algebraic geometry (14-XX) 5 Associative rings and algebras (16-XX) 5 Numerical analysis (65-XX) 5 Optics, electromagnetic theory (78-XX) 4 Nonassociative rings and algebras (17-XX) 4 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 3 Relativity and gravitational theory (83-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)