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Author ID: lou.senyue Recent zbMATH articles by "Lou, Senyue"
Published as: Lou, Sen-Yue; Lou, Senyue; Lou, S. Y.; Lou, Sen-yue; Lou, Sen Yue; Lou, S.-Y.; Lou, Senyou; Lou, S.
External Links: ORCID · ResearchGate · dblp
all top 5

Co-Authors

53 single-authored
31 Tang, Xiaoyan
24 Jia, Man
13 Lin, Ji
12 Ruan, Hangyu
9 Chen, Chunli
9 Qian, Xianmin
9 Yao, Ruoxia
9 Zhang, Shunli
8 Yu, Jun
7 Hu, Xingbiao
7 Huang, Fei
7 Ni, Guangjiong
6 Chow, Kwok Wing
5 Gao, Yuan
5 Yang, Xudong
4 Hao, Xiazhi
4 Huang, Guoxiang
4 Liu, Ping
3 Gao, Xiaonan
3 Li, Jinhua
3 Li, Yan
3 Liu, Qingping
3 Ma, Hongcai
3 Radha, Ramaswamy
3 Zhang, Dajun
3 Zhao, Qiliang
2 Chen, Defang
2 Chen, Lili
2 Chen, Yixin
2 Chen, Yong
2 Deng, Xiao
2 Jiao, Xiaoyu
2 Jin, Yan
2 Li, Congcong
2 Lian, Zeng-ju
2 Rogers, Colin
2 Schief, Wolfgang Karl
2 Sun, Ji-Lin
2 Tong, Bin
2 Wang, Jianyong
2 Wang, Kelin
2 Wang, Xiaobo
2 Weng, Jianping
2 Wu, Bin
2 Wu, Wenbiao
2 Xia, Qian
2 Yan, Zhaowen
2 Yang, Duo
2 Yu, Weifeng
1 Chen, Kui
1 Chen, Weizhong
1 Cheng, Xueping
1 Cui, Minjie
1 Deng, Aiping
1 Deng, Jian
1 Du, Wen-Ding
1 Du, Xuan
1 Farrag, Abdel Aziz
1 Feng, Baofeng
1 Gao, Xian-Long
1 Hu, Xiaorui
1 Hu, Yahong
1 Jia, Ma
1 Jiao, Xiang-Li
1 Jin, Xin-Wei
1 Kong, Dexing
1 Kumar, C. Senthil
1 Lakshmanan, Muthusamy
1 Li, Biao
1 Li, Yishen
1 Li, Yuqi
1 Li, Ziliang
1 Liang, Zufeng
1 Lin, Ji
1 Liu, Wei
1 Lu, Jizong
1 Lu, Wenfa
1 Peng, Hao-Hao
1 Peng, Ling
1 Qi, Yihong
1 Qin, Zhenyun
1 Qu, Changzheng
1 Ren, Bo
1 Shi, Ying
1 Velarde, Manuel G.
1 Wang, Fa-ren
1 Wang, Qun
1 Wang, Yong
1 Wang, Yongmao
1 Wang, Zhenli
1 Wu, Jian-Wen
1 Wu, Qixian
1 Wu, Zhirong
1 Xia, Yarong
1 Xiong, Na
1 Xu, Jianjun
1 Xue, Chunhua
1 Xue, Lingling
1 Yang, Jifeng
1 Yu, Guofu
...and 7 more Co-Authors
all top 5

Serials

55 Communications in Theoretical Physics
30 Journal of Physics A: Mathematical and General
21 Journal of Mathematical Physics
15 Physics Letters. A
12 Chaos, Solitons and Fractals
11 Acta Physica Sinica
7 Physica Scripta
6 Studies in Applied Mathematics
6 Applied Mathematics Letters
5 Science in China. Series A
4 Mathematical Methods in the Applied Sciences
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of High Energy Physics
3 Journal of Physics A: Mathematical and Theoretical
2 Wave Motion
2 Zeitschrift fuer Naturforschung, A: Physical Sciences
2 Physical Review Letters
2 Journal of the Physical Society of Japan
2 Acta Mechanica Sinica
1 Modern Physics Letters B
1 International Journal of Modern Physics B
1 Computers & Mathematics with Applications
1 International Journal of Theoretical Physics
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Applied Mathematics and Computation
1 International Journal of Mathematics and Mathematical Sciences
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Applied Mathematics and Mechanics. (English Edition)
1 Journal of Fudan University. Natural Science
1 Mathematica Applicata
1 Acta Mathematica Scientia
1 Chinese Science Bulletin
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Complexity
1 Nonlinear Dynamics
1 Journal of Nonlinear Mathematical Physics
1 Journal of Liaoning Normal University. Natural Science Edition
1 Journal of Nonlinear Mathematical Physics
1 Nonlinear Analysis. Real World Applications
1 Frontiers of Mathematics in China
1 Pacific Journal of Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

179 Publications have been cited 2,745 times in 1,372 Documents Cited by Year
Infinitely many Lax pairs and symmetry constraints of the KP equation. Zbl 0898.58029
Lou, Sen-Yue; Hu, Xing-Biao
139
1997
Nonlocal symmetries related to Bäcklund transformation and their applications. Zbl 1248.37069
Lou, S. Y.; Hu, Xiaorui; Chen, Yong
94
2012
Consistent Riccati expansion for integrable systems. Zbl 1314.35145
Lou, S. Y.
77
2015
Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation. Zbl 1046.35093
Wang, Song; Tang, Xiao-yan; Lou, Sen-Yue
77
2004
On the coherent structures of the Nizhnik-Novikov-Veselov equation. Zbl 1273.35264
Lou, Sen-Yue
75
2000
Solutions of nonlocal equations reduced from the AKNS hierarchy. Zbl 1398.35194
Chen, Kui; Deng, Xiao; Lou, Senyue; Zhang, Da-jun
71
2018
Extended multilinear variable separation approach and multivalued localized excitations for some \((2+1)\)-dimensional integrable systems. Zbl 1062.37084
Tang, Xiao-Yan; Lou, Sen-Yue
62
2003
Non-local symmetries via Darboux transformations. Zbl 1001.35501
Lou, Sen-Yue; Hu, Xing-Biao
62
1997
Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation. Zbl 1342.81583
Gao, Xiao Nan; Lou, S. Y.; Tang, Xiao Yan
62
2013
Alice-Bob systems, \(\hat{P} - \hat{T} - \hat{C}\) symmetry invariant and symmetry breaking soliton solutions. Zbl 1395.35169
Lou, S. Y.
59
2018
Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations. Zbl 0807.35127
Lou, Senyue
51
1994
Non-Lie symmetry groups of \((2+1)\)-dimensional nonlinear systems obtained from a simple direct method. Zbl 1069.37048
Lou, S. Y.; Ma, Hong-Cai
51
2005
Special solutions from the variable separation approach: The Davey-Stewartson equation. Zbl 0899.35101
Lou, Senyue; Lu, Jizong
50
1996
Revisitation of the localized excitations of the \((2+1)\)-dimensional KdV equation. Zbl 0979.37036
Lou, Sen-yue; Ruan, H.-y.
48
2001
Soliton molecules in Sharma-Tasso-Olver-Burgers equation. Zbl 1437.35149
Yan, Zhaowen; Lou, Senyue
45
2020
Exact solitary waves in a convecting fluid. Zbl 0735.76057
Lou, Senyue; Huang, Guoxiang; Ruan, Hangyu
41
1991
Coupled KdV equations derived from two-layer fluids. Zbl 1082.76023
Lou, S. Y.; Tong, Bin; Hu, Heng-Chun; Tang, Xiao-Yan
41
2006
The relations among a special type of solutions in some \((D+1)\)- dimensional nonlinear equations. Zbl 0693.35142
Lou, Senyue; Ni, Guangjiong
40
1989
Searching for higher-dimensional integrable models from lower ones via Painlevé analysis. Zbl 0987.37065
Lou, Sen-yue
38
1998
Generalized dromion solutions of the \((2+1)\)-dimensional KdV equation. Zbl 0876.35103
Lou, Senyue
36
1995
Conformal invariance and integrable models. Zbl 0924.35154
Lou, Senyue
36
1997
Nonsingular positon and complexiton solutions for the coupled KdV system. Zbl 1187.35196
Hu, H. C.; Tong, Bin; Lou, S. Y.
36
2006
Similarity and conditional similarity reductions of a \((2+1)\)-dimensional KdV equation via a direct method. Zbl 1004.37047
Lou, Sen-yue; Tang, Xiao-yan; Lin, Ji
35
2000
Similarity solutions of dispersive long-wave equations in two space dimensions. Zbl 0831.58053
Lou, Sen-Yue
34
1995
Formal variable separation approach for nonintegrable models. Zbl 0963.37071
Lou, Sen-yue; Chen, Li-Li
33
1999
Abundant coherent structures of the dispersive long-wave equation in \((2+1)\)-dimensional spaces. Zbl 1037.35062
Tang, Xiao-Yan; Lou, Sen-Yue
33
2002
Symmetry analysis and exact solutions of the \(2+1\) dimensional sine-Gordon system. Zbl 0976.35067
Lou, Senyue
31
2000
Variable separation solutions obtained from Darboux transformations for the asymmetric Nizhnik-Novikov-Veselov system. Zbl 1063.35135
Hu, Heng-Chun; Tang, Xiao-Yan; Lou, Sen-Yue; Liu, Qing-Ping
30
2004
Painlevé analysis and special solutions of generalized Broer-Kaup equations. Zbl 0997.76012
Zhang, Shunli; Wu, Bin; Lou, Senyue
29
2002
Symmetries and algebras of the integrable dispersive long wave equations in \((2+1)\)-dimensional spaces. Zbl 0842.35117
Lou, Senyue
28
1994
Dromion-like structures in a \((3+1)\)-dimensional KdV-type equation. Zbl 0903.35064
Lou, Senyue
28
1996
Localized solutions with chaotic and fractal behaviours in a \((2+1)\)-dimensional dispersive long-wave system. Zbl 1039.35108
Tang, Xiaoyan; Chen, Chunli; Lou, Senyue
27
2002
Symmetries and exact solutions of the Sharma-Tass-Olver equation. Zbl 1224.37038
Lian, Zeng-Ju; Lou, S. Y.
26
2005
Abundant symmetries for the 1+1 dimensional classical Liouville field theory. Zbl 0808.70012
Lou, Senyue
26
1994
New localized excitations in \((2+1)\)-dimensional integrable systems. Zbl 1079.37513
Lou, S.-Y.; Tang, X.-Y.; Qian, X.-M.; Chen, C.-L.; Lin, J.; Zhang, S.-L.
26
2002
Variable separation approach for a differential-difference system: Special Toda equation. Zbl 1042.37052
Qian, Xian-Min; Lou, S. Y.; Hu, Xing-Biao
25
2004
Similarity reductions of the KP equation by a direct method. Zbl 0734.35122
Lou, Senyue; Ruan, Hangyu; Chen, Defang; Chen, Weizhong
25
1991
Symmetries of the Kadomtsev-Petviashvili equation. Zbl 0801.35123
Lou, Senyue
25
1993
Prohibitions caused by nonlocality for nonlocal Boussinesq-KdV type systems. Zbl 1423.35313
Lou, S. Y.
25
2019
\((2+1)\)-dimensional \((M+N)\)-component AKNS system: Painlevé integrability, infinitely many symmetries, similarity reductions and exact solutions. Zbl 1060.37058
Lou, Sen-yue; Chen, Chun-li; Tang, Xiao-yan
24
2002
Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations. Zbl 1427.35252
Deng, Xiao; Lou, Senyue; Zhang, Dajun
24
2018
New variable separation approach: application to nonlinear diffusion equations. Zbl 1106.35312
Zhang, Shun-Li; Lou, S. Y.; Qu, Chang-Zheng
24
2003
Exact \(P_sT_d\) invariant and \(P_sT_d\) symmetric breaking solutions, symmetry reductions and Bäcklund transformations for an AB-KdV system. Zbl 1387.35529
Jia, Man; Lou, Sen Yue
23
2018
\((2+1)\)-dimensional compacton solutions with and without completely elastic interaction properties. Zbl 1040.35101
Lou, Sen-Yue
22
2002
Generalized symmetries and \(w_\infty\) algebras in three-dimensional Toda field theory. Zbl 0972.81559
Lou, Sen Yue
21
1993
CTE solvability, nonlocal symmetries and exact solutions of dispersive water wave system. Zbl 1290.35197
Chen, Chun-Li; Lou, Sen-Yue
21
2014
Abundant solitary wave structures of the nonlinear coupled scalar field equations. Zbl 0941.35084
Lou, Sen-yue
20
1999
Dromions, dromion lattice, breathers and instantons of the Davey-Stewartson equation. Zbl 1064.35170
Lou, Sen-yue
19
2002
Nonclassical symmetry reductions for the dispersive wave equations in shallow water. Zbl 0767.35064
Lou, Sen-yue
18
1992
Coherent structure of Alice-Bob modified Korteweg de-Vries equation. Zbl 1398.37076
Li, Congcong; Lou, S. Y.; Jia, Man
18
2018
Infinitely many symmetries of the Davey-Stewartson equation. Zbl 0838.35116
Lou, Senyue; Hu, Xingbiao
17
1994
Negative Kadomtsev-Petviashvili hierarchy. Zbl 1063.37547
Lou, Sen-yue
17
1998
Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation. Zbl 1462.35328
Yan, Zhaowen; Lou, Senyue
17
2020
Interactions among different types of nonlinear waves described by the Kadomtsev-Petviashvili equation. Zbl 1456.35177
Cheng, Xue-Ping; Chen, Chun-Li; Lou, S. Y.
17
2014
Localized excitations of the \((2+1)\)-dimensional sine-Gordon system. Zbl 1048.81031
Lou, S. Y.
16
2003
High-dimensional Virasoro integrable models and exact solutions. Zbl 0971.37036
Lin, Ji; Lou, Sen-yue; Wang, Kelin
16
2001
Symmetry algebras of the potential Nizhnik-Novikov-Veselov model. Zbl 0801.35124
Lou, Senyue
15
1994
A variable separation approach to solve the integrable and nonintegrable models: Coherent structures of the \((2+1)\)-dimensional KdV equation. Zbl 1267.35206
Tang, Xiao-Yan; Lou, Sen-Yue
15
2002
Similarity solutions of the Kadomtsev-Petviashvili equation. Zbl 0729.35118
Lou, Senyue
15
1990
Multi-place physics and multi-place nonlocal systems. Zbl 1451.81011
Lou, S. Y.
15
2020
Periodic and localized solutions of the long wave-short wave resonance interaction equation. Zbl 1085.37052
Radha, R.; Kumar, C. Senthil; Lakshmanan, M.; Tang, X. Y.; Lou, S. Y.
15
2005
Soliton excitations and periodic waves without dispersion relation in shallow water system. Zbl 1033.76006
Chen, Chunli; Lou, Senyue
13
2003
A \((2+1)\)-dimensional extension for the sine-Gordon equation. Zbl 0802.35134
Lou, Sen-Yue
13
1993
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada-Kotera equation. Zbl 1467.37066
Yao, Ruoxia; Li, Yan; Lou, Senyue
13
2021
Deformations of the Riccati equation by using Miura-type transformations. Zbl 0928.35151
Lou, Senyue
12
1997
\((3+1)\)-dimensional models with an infinitely dimensional Virasoro type symmetry algebra. Zbl 1020.81630
Lou, Sen Yue; Lin, Ji; Yu, Jun
12
1995
A generalization of the coupled integrable dispersionless equations. Zbl 1346.35182
Lou, Sen-Yue; Yu, Guo-Fu
12
2016
Painlevé integrability of two sets of nonlinear evolution equations with nonlinear dispersions. Zbl 0939.37043
Lou, Senyue; Wu, Qixian
11
1999
Virasoro structure and localized excitations of the LKR system. Zbl 1063.37056
Lou, S. Y.; Rogers, C.; Schief, W. K.
11
2003
Equations of arbitrary order invariant under the Kadomtsev-Petviashvili symmetry group. Zbl 1070.37048
Lou, S. Y.; Tang, Xiao-Yan
11
2004
Solitary wave solutions and cnoidal wave solutions to the combined KdV and mKdV equation. Zbl 0803.35129
Lou, Sen-Yue; Chen, Li-Li
11
1994
Solitons on a periodic wave background of the modified KdV-sine-Gordon equation. Zbl 1451.35168
Lin, Ji; Jin, Xin-Wei; Gao, Xian-Long; Lou, Sen-Yue
11
2018
Finite symmetry transformation groups and exact solutions of Lax integrable systems. Zbl 1142.37355
Lou, S. Y.; Ma, Hong-Cai
11
2006
Nonlocal symmetries for bilinear equations and their applications. Zbl 1175.37071
Hu, Xing-Biao; Lou, Sen-Yue; Qian, Xian-Min
10
2009
New symmetries of the Jaulent-Miodek hierarchy. Zbl 0972.37535
Ruan, Hang Yu; Lou, Sen Yue
10
1993
Propagating wave patterns and “peakons” of the Davey-Stewartson system. Zbl 1088.35529
Chow, K. W.; Lou, S. Y.
10
2006
Bäcklund transformations, solitary waves, conoid waves and Bessel waves of the \((2+1)\)-dimensional Euler equation. Zbl 1126.76009
Lou, Senyue; Jia, Man; Huang, Fei; Tang, Xiaoyan
10
2007
Exact solutions of the coupled KdV system via a formally variable separation approach. Zbl 1164.81306
Lou, Sen-Yue; Tang, Xiao-Yan; Lin, Ji
9
2001
Symmetry structure of \(2+1\) dimensional bilinear Sawada-Kotera equation. Zbl 0835.35135
Lou, Senyue; Yu, Jun; Weng, Jianpin; Qian, Xianmin
9
1994
New interaction solutions of multiply periodic, quasi-periodic and non-periodic waves for the \((n+1)\)-dimensional double sine-Gordon equations. Zbl 1139.35390
Hu, H. C.; Lou, S. Y.; Chow, K. W.
9
2007
Generalized \(W_ \infty\) symmetry algebra of the conditionally integrable nonlinear evolution equation. Zbl 0842.35118
Lou, Senyue; Weng, Jianping
8
1995
Higher-dimensional dromion structures: Jimbo-Miwa-Kadomtsev-Petviashvili system. Zbl 0878.35101
Ruan, Hangyu; Lou, Senyue
8
1997
Nonlocalization of nonlocal symmetry and symmetry reductions of the Burgers equation. Zbl 1264.35174
Jin, Yan; Jia, Ma; Lou, Sen-Yue
8
2012
Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)-dimensional Sawada-Kotera equation. Zbl 1464.35057
Li, Yan; Yao, Ruoxia; Xia, Yarong; Lou, Senyue
8
2021
Invariant functions, symmetries and primary branch solutions of first order autonomous systems. Zbl 1370.35024
Lou, Sen-Yue; Yao, Ruo-Xia
8
2017
New deformation relations and exact solutions of the high-dimensional \(\Phi ^{6}\) field model. Zbl 1181.81087
Jia, Man; Lou, S. Y.
8
2006
Primary branch solutions of first order autonomous scalar partial differential equations via Lie symmetry approach. Zbl 1420.35025
Lou, S. Y.; Yao, Ruo Xia
8
2017
KdV extensions with Painlevé property. Zbl 1001.37056
Lou, Senyue
7
1998
Search for high dimensional integrable models. Zbl 0918.35132
Lou, Senyue
7
1997
Deformation and \((3+1)\)-dimensional integrable model. Zbl 0986.37062
Yu, Jun; Lou, Senyue
7
2000
Interactions between solitons and cnoidal periodic waves of the Boussinesq equation. Zbl 1277.35300
Yang, Duo; Lou, Sen-Yue; Yu, Wei-Feng
7
2013
New quasi-periodic waves of the \((2+1)\)-dimensional sine-Gordon system. Zbl 1171.35461
Hu, H. C.; Lou, S. Y.
7
2005
Multi-soliton solution to the two-component Hunter-Saxton equation. Zbl 1467.35290
Lou, Senyue; Feng, Bao-Feng; Yao, Ruoxia
7
2016
\((2+1)\)-dimensional models with Virasoro-type symmetry algebra. Zbl 0854.35113
Lou, Sen-yue; Yu, Jun; Lin, Ji
6
1995
Higher-dimensional Painlevé integrable models from the Kadomtsev-Petviashvili equation. Zbl 0927.37047
Lou, Senyue; Xu, Jianjun
6
1998
Fifth-order Alice-Bob systems and their abundant periodic and solitary wave solutions. Zbl 1451.35179
Zhao, Qi-Liang; Jia, Man; Lou, Sen-Yue
6
2019
Lax pair and exact solutions of a discrete coupled system related to coupled KdV and coupled mKdV equations. Zbl 1134.81378
Liu, Ping; Jia, Man; Lou, Sen-Yue
6
2007
Infinitely many nonlocal symmetries and conservation laws for the \((1+1)\)-dimensional sine-Gordon equation. Zbl 1304.35042
Wang, Jian-yong; Tang, Xiao-yan; Liang, Zu-feng; Lou, Sen-yue
6
2015
A class of coupled nonlinear Schrödinger equations: Painlevé property, exact solutions, and application to atmospheric gravity waves. Zbl 1203.86012
Liu, Ping; Li, Zi-liang; Lou, Sen-yue
6
2010
Generalized symmetries and algebras of the two-dimensional differential- difference Toda equation. Zbl 0837.34068
Lou, Senyue; Qian, Xianmin
5
1994
Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws. Zbl 07690582
Lou, S. Y.; Hao, Xia-zhi; Jia, Man
5
2023
A novel \((2 + 1)\)-dimensional nonlinear Schrödinger equation deformed from \((1 + 1)\)-dimensional nonlinear Schrödinger equation. Zbl 1524.35588
Jia, Man; Lou, S. Y.
2
2023
Higher-dimensional integrable deformations of the modified KdV equation. Zbl 1519.35272
Hao, Xiazhi; Lou, S. Y.
1
2023
Searching for \((2+1)\)-dimensional nonlinear Boussinesq equation from \((1+1)\)-dimensional nonlinear Boussinesq equation. Zbl 1519.35263
Jia, Man; Lou, S. Y.
1
2023
Decompositions and linear superpositions of B-type Kadomtsev-Petviashvili equations. Zbl 1527.35354
Hao, Xiazhi; Lou, Senyue
4
2022
Linear superposition in the general heavenly equation. Zbl 1500.35097
Lou, S. Y.; Hao, Xiazhi
3
2022
Integrable nonlinear Klein-Gordon systems with \(\mathcal{PT}\) nonlocality and/or space-time exchange nonlocality. Zbl 1495.81060
Jia, Man; Lou, S. Y.
2
2022
Novel travelling wave structures for \((2+1)\)-dimensional Sawada-Kotera equation. Zbl 1479.35207
Wang, Xiaobo; Zhao, Qiliang; Jia, Man; Lou, Senyue
1
2022
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada-Kotera equation. Zbl 1467.37066
Yao, Ruoxia; Li, Yan; Lou, Senyue
13
2021
Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)-dimensional Sawada-Kotera equation. Zbl 1464.35057
Li, Yan; Yao, Ruoxia; Xia, Yarong; Lou, Senyue
8
2021
Duality of positive and negative integrable hierarchies via relativistically invariant fields. Zbl 1468.81056
Lou, S. Y.; Hu, X. B.; Liu, Q. P.
4
2021
Soliton molecules in Sharma-Tasso-Olver-Burgers equation. Zbl 1437.35149
Yan, Zhaowen; Lou, Senyue
45
2020
Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation. Zbl 1462.35328
Yan, Zhaowen; Lou, Senyue
17
2020
Multi-place physics and multi-place nonlocal systems. Zbl 1451.81011
Lou, S. Y.
15
2020
Solitons and soliton molecules in two nonlocal Alice-Bob Sawada-Kotera systems. Zbl 1451.35050
Zhao, Qi-Liang; Lou, Sen-Yue; Jia, Man
5
2020
Searching for missing d’Alembert waves in nonlinear system: Nizhnik-Novikov-Veselov equation. Zbl 1495.35152
Jia, Man; Lou, S. Y.
4
2020
A (1+1)-dimensional integrable system with fifth order spectral problems and four dispersion relations. Zbl 1448.35434
Lou, S. Y.
4
2020
Families of rational and semirational solutions of the partial reverse space-time nonlocal Mel’nikov equation. Zbl 1441.35086
Liu, Wei; Qin, Zhenyun; Chow, Kwok Wing; Lou, Senyue
3
2020
Prohibitions caused by nonlocality for nonlocal Boussinesq-KdV type systems. Zbl 1423.35313
Lou, S. Y.
25
2019
Fifth-order Alice-Bob systems and their abundant periodic and solitary wave solutions. Zbl 1451.35179
Zhao, Qi-Liang; Jia, Man; Lou, Sen-Yue
6
2019
Exact solutions of an Alice-Bob KP equation. Zbl 1452.35177
Wu, Wen-Biao; Lou, Sen-Yue
5
2019
Interactions of lump and solitons to generalized \((2+1)\)-dimensional Ito systems. Zbl 1452.35162
Du, Xuan; Lou, Sen-Yue
3
2019
Solutions of nonlocal equations reduced from the AKNS hierarchy. Zbl 1398.35194
Chen, Kui; Deng, Xiao; Lou, Senyue; Zhang, Da-jun
71
2018
Alice-Bob systems, \(\hat{P} - \hat{T} - \hat{C}\) symmetry invariant and symmetry breaking soliton solutions. Zbl 1395.35169
Lou, S. Y.
59
2018
Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations. Zbl 1427.35252
Deng, Xiao; Lou, Senyue; Zhang, Dajun
24
2018
Exact \(P_sT_d\) invariant and \(P_sT_d\) symmetric breaking solutions, symmetry reductions and Bäcklund transformations for an AB-KdV system. Zbl 1387.35529
Jia, Man; Lou, Sen Yue
23
2018
Coherent structure of Alice-Bob modified Korteweg de-Vries equation. Zbl 1398.37076
Li, Congcong; Lou, S. Y.; Jia, Man
18
2018
Solitons on a periodic wave background of the modified KdV-sine-Gordon equation. Zbl 1451.35168
Lin, Ji; Jin, Xin-Wei; Gao, Xian-Long; Lou, Sen-Yue
11
2018
Nonlocal nonlinear Schrödinger system with shifted parity and delayed time reversal symmetries. Zbl 1451.35188
Li, Cong-Cong; Xia, Qian; Lou, Sen-Yue
4
2018
Localized excitations of a generalised Jimbo-Miwa equation. Zbl 1451.35055
Xia, Qian; Lou, Sen-Yue
2
2018
Invariant functions, symmetries and primary branch solutions of first order autonomous systems. Zbl 1370.35024
Lou, Sen-Yue; Yao, Ruo-Xia
8
2017
Primary branch solutions of first order autonomous scalar partial differential equations via Lie symmetry approach. Zbl 1420.35025
Lou, S. Y.; Yao, Ruo Xia
8
2017
Classification of dark modified KdV equation. Zbl 1370.35242
Xiong, Na; Lou, Sen-Yue; Li, Biao; Chen, Yong
3
2017
Localization of nonlocal symmetries and symmetry reductions of Burgers equation. Zbl 1365.35146
Wu, Jian-Wen; Lou, Sen-Yue; Yu, Jun
2
2017
Spectrum transformation and conservation laws of lattice potential KdV equation. Zbl 1380.39013
Lou, Senyue; Shi, Ying; Zhang, Da-jun
1
2017
A generalization of the coupled integrable dispersionless equations. Zbl 1346.35182
Lou, Sen-Yue; Yu, Guo-Fu
12
2016
Multi-soliton solution to the two-component Hunter-Saxton equation. Zbl 1467.35290
Lou, Senyue; Feng, Bao-Feng; Yao, Ruoxia
7
2016
Consistent Riccati expansion for integrable systems. Zbl 1314.35145
Lou, S. Y.
77
2015
Infinitely many nonlocal symmetries and conservation laws for the \((1+1)\)-dimensional sine-Gordon equation. Zbl 1304.35042
Wang, Jian-yong; Tang, Xiao-yan; Liang, Zu-feng; Lou, Sen-yue
6
2015
CRE method for solving mKdV equation and new interactions between solitons and conoidal periodic waves. Zbl 1305.35008
Jiao, Xiang-Li; Lou, Sen-Yue
4
2015
Analytical descriptions of dark and gray solitons in nonlocal nonlinear media. Zbl 1330.78015
Hu, Ya-Hong; Lou, Sen-Yue
3
2015
CTE solvability, nonlocal symmetries and exact solutions of dispersive water wave system. Zbl 1290.35197
Chen, Chun-Li; Lou, Sen-Yue
21
2014
Interactions among different types of nonlinear waves described by the Kadomtsev-Petviashvili equation. Zbl 1456.35177
Cheng, Xue-Ping; Chen, Chun-Li; Lou, S. Y.
17
2014
Interactions between solitons and cnoidal periodic waves of the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation. Zbl 1298.35037
Yu, Wei-Feng; Lou, Sen-Yue; Yu, Jun; Yang, Duo
3
2014
Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation. Zbl 1342.81583
Gao, Xiao Nan; Lou, S. Y.; Tang, Xiao Yan
62
2013
Interactions between solitons and cnoidal periodic waves of the Boussinesq equation. Zbl 1277.35300
Yang, Duo; Lou, Sen-Yue; Yu, Wei-Feng
7
2013
Nonlocal symmetries related to Bäcklund transformation and their applications. Zbl 1248.37069
Lou, S. Y.; Hu, Xiaorui; Chen, Yong
94
2012
Nonlocalization of nonlocal symmetry and symmetry reductions of the Burgers equation. Zbl 1264.35174
Jin, Yan; Jia, Ma; Lou, Sen-Yue
8
2012
Vortices and vortex sources of multiple vortex interaction systems. Zbl 1254.76042
Jia, Man; Gao, Yuan; Huang, Fei; Lou, Sen-yue; Sun, Ji-lin; Tang, Xiao-yan
4
2012
Integrable KP coupling and its exact solution. Zbl 1263.37077
Peng, Ling; Yang, Xu-Dong; Lou, Sen-Yue
3
2012
Dark parameterizations, equivalent partner fields and integrable systems. Zbl 1264.81245
Lou, Sen-Yue
3
2011
Doubly periodic patterns of modulated hydrodynamic waves: exact solutions of the Davey-Stewartson system. Zbl 1270.76015
Li, J.-H.; Lou, S.-Y.; Chow, K.-W.
2
2011
A class of coupled nonlinear Schrödinger equations: Painlevé property, exact solutions, and application to atmospheric gravity waves. Zbl 1203.86012
Liu, Ping; Li, Zi-liang; Lou, Sen-yue
6
2010
Conservation laws of equation family with same Kac-Moody-Virasoro symmetry. Zbl 1236.35151
Jia, Man; Gao, Yuan; Lou, S. Y.
1
2010
Symmetries and algebras of a \((2+1)\)-dimensional MKdV-type system. Zbl 1219.35264
Wang, Jian-Yong; Yu, Jun; Lou, Sen-Yue
1
2010
An elastic interaction model of vortices. Zbl 1218.35210
Jia, Man; Huang, Fei; Lou, Sen-Yue; Sun, Ji-Lin; Tang, Xiao-Yan
1
2010
Nonlocal symmetries for bilinear equations and their applications. Zbl 1175.37071
Hu, Xing-Biao; Lou, Sen-Yue; Qian, Xian-Min
10
2009
Monopole blocking governed by a modified KdV type equation. Zbl 1172.35486
Tang, X. Y.; Zhao, J.; Huang, F.; Lou, S. Y.
4
2009
Coupled nonlinear Schrödinger equation: symmetries and exact solutions. Zbl 1177.35223
Liu, Ping; Lou, Sen-Yue
4
2009
Prolongation structures and exact solutions of \(K(m,n)\) equations. Zbl 1373.37160
Wang, Deng-Shan; Lou, S. Y.
2
2009
Approximate symmetries and infinite series symmetry reduction solutions to perturbed Kuramoto-Sivashinsky equation. Zbl 1177.35211
Yao, Ruo-Xia; Jiao, Xiao-Yu; Lou, Sen-Yue
1
2009
Analytical solitary wave solutions to a \((3+1)\)-dimensional Gross-Pitaevskii equation with variable coefficients. Zbl 1185.35210
Gao, Yuan; Lou, Senyou
1
2009
Approximate similarity reduction for singularly perturbed Boussinesq equation via symmetry perturbation and direct method. Zbl 1152.81493
Jiao, Xiaoyu; Yao, Ruoxia; Lou, S. Y.
5
2008
Soliton control in optical lattices with periodic modulation of nonlinearity coefficient. Zbl 1221.78046
Zhou, Jun; Xue, Chunhua; Qi, Yihong; Lou, Senyue
4
2008
An integrable coupled hybrid lattice and its exact solutions. Zbl 1152.81492
Jia, M.; Liu, P.; Lou, S. Y.
3
2008
The bilinear negative Kadomtsev-Petviashvili system and its Kac-Moody-Virasoro symmetry group. Zbl 1147.35086
Jia, Man; Li, Jin-Hua; Lou, S. Y.
3
2008
Extension of variable separable solutions for nonlinear evolution equations. Zbl 1392.35020
Zhang, Shun-Li; Zhu, Xiao-Ning; Wang, Yong-Mao; Lou, Sen-Yue
2
2008
Lie symmetry groups of \((2+1)\)-dimensional BKP equation and its new solutions. Zbl 1392.35014
Ma, Hong-Cai; Lou, Sen-Yue; Deng, Ai-Ping
2
2008
Bäcklund transformations, solitary waves, conoid waves and Bessel waves of the \((2+1)\)-dimensional Euler equation. Zbl 1126.76009
Lou, Senyue; Jia, Man; Huang, Fei; Tang, Xiaoyan
10
2007
New interaction solutions of multiply periodic, quasi-periodic and non-periodic waves for the \((n+1)\)-dimensional double sine-Gordon equations. Zbl 1139.35390
Hu, H. C.; Lou, S. Y.; Chow, K. W.
9
2007
Lax pair and exact solutions of a discrete coupled system related to coupled KdV and coupled mKdV equations. Zbl 1134.81378
Liu, Ping; Jia, Man; Lou, Sen-Yue
6
2007
Kac–Moody–Virasoro symmetry algebra and symmetry reductions of the bilinear sinh-Gordon equation in \((2 + 1)\)-dimensions. Zbl 1120.81043
Li, Jin-Hua; Jia, Man; Lou, S. Y.
2
2007
Truncated Painlevé expansion – a unified approach to exact solutions and dromion interactions of \((2+1)\)-dimensional nonlinear systems. Zbl 1203.37112
Radha, Ramaswamy; Tang, Xiaoyan; Lou, Senyue
2
2007
Approximate generalized conditional symmetries for perturbed evolution equations. Zbl 1355.35047
Zhang, Shun-Li; Wang, Yong; Lou, Sen-Yue
1
2007
Nonlinear excitations and “peakons” of a (2+1)-dimensional generalized Broer-Kaup system. Zbl 1202.76030
Tang, X. Y.; Chow, K. W.; Lou, S. Y.
1
2007
Coupled KdV equations derived from two-layer fluids. Zbl 1082.76023
Lou, S. Y.; Tong, Bin; Hu, Heng-Chun; Tang, Xiao-Yan
41
2006
Nonsingular positon and complexiton solutions for the coupled KdV system. Zbl 1187.35196
Hu, H. C.; Tong, Bin; Lou, S. Y.
36
2006
Finite symmetry transformation groups and exact solutions of Lax integrable systems. Zbl 1142.37355
Lou, S. Y.; Ma, Hong-Cai
11
2006
Propagating wave patterns and “peakons” of the Davey-Stewartson system. Zbl 1088.35529
Chow, K. W.; Lou, S. Y.
10
2006
New deformation relations and exact solutions of the high-dimensional \(\Phi ^{6}\) field model. Zbl 1181.81087
Jia, Man; Lou, S. Y.
8
2006
Special Bäcklund transformations and nonlinear superpositions for the non-integrable 4 field model. Zbl 1092.81047
Jia, M.; Huang, F.; Lou, S. Y.
5
2006
Symmetry study of the coupled Burgers system. Zbl 1088.35541
Lian, Zeng-ju; Lou, S. Y.
2
2006
Non-Lie symmetry groups of \((2+1)\)-dimensional nonlinear systems obtained from a simple direct method. Zbl 1069.37048
Lou, S. Y.; Ma, Hong-Cai
51
2005
Symmetries and exact solutions of the Sharma-Tass-Olver equation. Zbl 1224.37038
Lian, Zeng-Ju; Lou, S. Y.
26
2005
Periodic and localized solutions of the long wave-short wave resonance interaction equation. Zbl 1085.37052
Radha, R.; Kumar, C. Senthil; Lakshmanan, M.; Tang, X. Y.; Lou, S. Y.
15
2005
New quasi-periodic waves of the \((2+1)\)-dimensional sine-Gordon system. Zbl 1171.35461
Hu, H. C.; Lou, S. Y.
7
2005
Integrability and novel localized solutions in the \((2+1)\)-dimensional generalized Sasa-Satsuma equation. Zbl 1090.35160
Radha, R.; Lou, S. Y.
5
2005
Some novel nonlinear coherent excitations of the Davey-Stewartson system. Zbl 1079.81017
Tang, X. Y.; Chow, K. W.; Lou, S. Y.
3
2005
Applying fault-tolerant solutions of circulant graphs to multidimensional meshes. Zbl 1085.68108
Farrag, A. A.; Lou, S.
2
2005
New interaction property of \((2+1)\)-dimensional localized excitations from Darboux transformation. Zbl 1069.35016
Hu, H. C.; Lou, S. Y.
1
2005
Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation. Zbl 1046.35093
Wang, Song; Tang, Xiao-yan; Lou, Sen-Yue
77
2004
Variable separation solutions obtained from Darboux transformations for the asymmetric Nizhnik-Novikov-Veselov system. Zbl 1063.35135
Hu, Heng-Chun; Tang, Xiao-Yan; Lou, Sen-Yue; Liu, Qing-Ping
30
2004
Variable separation approach for a differential-difference system: Special Toda equation. Zbl 1042.37052
Qian, Xian-Min; Lou, S. Y.; Hu, Xing-Biao
25
2004
Equations of arbitrary order invariant under the Kadomtsev-Petviashvili symmetry group. Zbl 1070.37048
Lou, S. Y.; Tang, Xiao-Yan
11
2004
Conditional similarity reductions of the \((2+1)\)-dimensional KdV equation via the extended Lie group approach. Zbl 1053.35122
Tang, Xiaoyan; Qian, Xian-min; Lin, Ji; Lou, S. Y.
4
2004
Variable separation and derivative-dependent functional separable solutions to generalized nonlinear wave equations. Zbl 1167.35437
Zhang, Shun-Li; Lou, Sen-Yue
3
2004
Exact solutions of Bogoyavlenskii coupled KdV equations. Zbl 1167.35471
Hu, Heng-Chun; Lou, Sen-Yue
3
2004
Solitary wave solutions for a general Boussinesq type fluid model. Zbl 1051.35051
Chen, Chun-Li; Lou, Sen-Yue; Li, Yi-Shen
2
2004
Extended multilinear variable separation approach and multivalued localized excitations for some \((2+1)\)-dimensional integrable systems. Zbl 1062.37084
Tang, Xiao-Yan; Lou, Sen-Yue
62
2003
New variable separation approach: application to nonlinear diffusion equations. Zbl 1106.35312
Zhang, Shun-Li; Lou, S. Y.; Qu, Chang-Zheng
24
2003
...and 79 more Documents
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Cited by 1,469 Authors

92 Lou, Senyue
52 Zhang, Hongqing
42 Chen, Yong
33 Ma, Wen-Xiu
30 Ma, Zhengyi
26 Li, Biao
26 Tian, Bo
25 Ren, Bo
25 Tian, Shoufu
25 Zhang, Jiefang
24 Dai, Chaoqing
24 Lin, Ji
24 Tang, Xiaoyan
21 Gao, Yitian
20 Fei, Jinxi
20 Yu, Jun
19 Chen, Junchao
19 Zheng, Chunlong
17 Jia, Man
17 Wang, Qi
17 Xin, Xiangpeng
16 Zhang, Yufeng
15 Kudryashov, Nikolaĭ Alekseevich
15 Shen, Shoufeng
14 Zhang, Tiantian
14 Zhao, Hong
13 Bai, Chenglin
13 He, Jingsong
13 Ma, Hongcai
13 Song, Lina
13 Yao, Ruoxia
12 Liu, Xiqiang
12 Zhang, Sheng
12 Zhang, Yi
11 Deng, Aiping
11 Fan, Engui
11 Hao, Xiazhi
11 Khalique, Chaudry Masood
11 Liu, Hanze
11 Wang, Yunhu
11 Xia, Tie-Cheng
11 Xia, Yarong
10 Qu, Changzheng
10 Wazwaz, Abdul-Majid Abdul-Rahman
10 Zhang, Dajun
9 An, Hongli
9 Cao, Weiping
9 Liu, Xi-Zhong
9 Lou, Zhimei
9 Wen, Xiaoyong
9 Xu, Tao
9 Yan, Zhenya
9 Yu, Guofu
9 Yu, Xin
8 Fang, Jianping
8 Geng, Xianguo
8 Gürses, Metin
8 Hu, Xiaorui
8 Hu, Xingbiao
8 Liu, Wenjun J.
8 Pekcan, Asli
8 Shan, Wenrui
8 Tian, Lixin
8 Xu, Guiqiong
8 Yuen, Manwai
8 Zhao, Songlin
8 Zhu, Quanyong
7 Cheng, Yi
7 Hu, Hengchun
7 Hu, Yahong
7 Kofané, Timoléon Crépin
7 Li, Bangqing
7 Li, Chuanzhong
7 Li, Jibin
7 Liu, Jiangen
7 Ma, Yulan
7 Manafian Heris, Jalil
7 Mei, Jianqin
7 Meng, Dexin
7 Meng, Xianghua
7 Mihalache, Dumitru
7 Qian, Xianmin
7 Ruan, Hangyu
7 Vitanov, Nikolay K.
7 Wang, Dengshan
7 Zhang, Zhiyong
7 Zhao, Zhonglong
6 Bai, Chengjie
6 Cheng, Wenguang
6 Clarkson, Peter A.
6 Dai, Zhengde
6 Gao, Xinyi
6 Kara, Abdul Hamid
6 Kumar, Mukesh
6 Li, Yan
6 Li, Zhibin
6 Liang, Zufeng
6 Liu, Ping
6 Liu, Yinping
6 Rao, Jiguang
...and 1,369 more Authors
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Cited in 154 Serials

134 Chaos, Solitons and Fractals
122 Applied Mathematics and Computation
96 Physics Letters. A
78 Applied Mathematics Letters
77 Communications in Theoretical Physics
73 Communications in Nonlinear Science and Numerical Simulation
59 Journal of Mathematical Physics
50 Nonlinear Dynamics
44 Computers & Mathematics with Applications
34 International Journal of Modern Physics B
31 Chinese Journal of Physics (Taipei)
28 Mathematical Methods in the Applied Sciences
25 Advances in Mathematical Physics
21 Studies in Applied Mathematics
21 Journal of Nonlinear Mathematical Physics
19 Journal of Mathematical Analysis and Applications
17 Wave Motion
17 Abstract and Applied Analysis
15 Physica D
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Journal of Physics A: Mathematical and Theoretical
13 International Journal of Theoretical Physics
13 Qualitative Theory of Dynamical Systems
13 Advances in Difference Equations
12 Waves in Random and Complex Media
11 Reports on Mathematical Physics
11 Theoretical and Mathematical Physics
11 Complexity
10 Journal of Geometry and Physics
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Journal of Applied Mathematics
8 Applied Mathematics and Mechanics. (English Edition)
8 International Journal of Computer Mathematics
8 Mathematical Problems in Engineering
8 Nonlinear Analysis. Real World Applications
8 Journal of Applied Analysis and Computation
7 International Journal of Modern Physics C
6 Computer Physics Communications
6 Journal of High Energy Physics
6 International Journal of Nonlinear Sciences and Numerical Simulation
6 AIMS Mathematics
5 Journal of Computational and Applied Mathematics
5 Science in China. Series A
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Journal of the Egyptian Mathematical Society
5 Chaos
5 International Journal of Geometric Methods in Modern Physics
4 Modern Physics Letters B
4 Nuclear Physics. B
4 Mathematical and Computer Modelling
4 Annals of Physics
4 Applied Mathematical Modelling
4 Computational and Applied Mathematics
4 Far East Journal of Dynamical Systems
4 East Asian Journal on Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 Discrete Dynamics in Nature and Society
3 Discrete and Continuous Dynamical Systems. Series B
3 Mathematical Modelling of Natural Phenomena
3 Analysis and Mathematical Physics
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2 Modern Physics Letters A
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2 Letters in Mathematical Physics
2 Nonlinearity
2 Physica A
2 Reviews in Mathematical Physics
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2 Acta Mathematicae Applicatae Sinica
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2 Fractals
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Boundary Value Problems
2 Acta Mechanica Sinica
2 Asian-European Journal of Mathematics
2 Symmetry
2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
2 Evolution Equations and Control Theory
2 Journal of Mathematics
2 Journal of Applied Nonlinear Dynamics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Applied Mathematics and Nonlinear Sciences
1 Acta Mechanica
1 Applicable Analysis
1 Computers and Fluids
1 International Journal of Engineering Science
1 Information Processing Letters
1 Linear and Multilinear Algebra
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Journal of Theoretical and Applied Mechanics (Sofia)
1 Archiv der Mathematik
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1 Quaestiones Mathematicae
1 SIAM Journal on Control and Optimization
1 Applied Numerical Mathematics
1 Asymptotic Analysis
1 European Journal of Applied Mathematics
...and 54 more Serials
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Cited in 43 Fields

1,222 Partial differential equations (35-XX)
552 Dynamical systems and ergodic theory (37-XX)
123 Fluid mechanics (76-XX)
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29 Statistical mechanics, structure of matter (82-XX)
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25 Special functions (33-XX)
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19 Difference and functional equations (39-XX)
15 Geophysics (86-XX)
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