Edit Profile (opens in new tab) Ma, Wen-Xiu Co-Author Distance Author ID: ma.wen-xiu Published as: Ma, Wen-Xiu; Ma, Wenxiu; Ma, W. X.; Ma, Wen Xiu; Ma, Wen-xiu; Ma, W.-X. more...less Homepage: http://shell.cas.usf.edu/~wma3/ External Links: MGP · ORCID · Google Scholar · dblp Documents Indexed: 382 Publications since 1987, including 8 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 122 Reviews Co-Authors: 195 Co-Authors with 267 Joint Publications 5,682 Co-Co-Authors all top 5 Co-Authors 116 single-authored 15 Lü, Xing 14 Shen, Shoufeng 14 Zhou, Ruguang 11 Khalique, Chaudry Masood 10 Zhou, Yuan 9 Huang, Yehui 9 Xia, Tie-Cheng 9 Zeng, Yunbo 9 Zhang, Yi 8 Gao, Liang 8 Manukure, Solomon 7 Chen, Shouting 7 Fuchssteiner, Benno 7 Qin, Zhenyun 7 Tang, Yaning 7 Wang, Fudong 6 Ali, Mohamed Reda 6 Li, Chunxia 6 Sun, Yongli 6 Yong, Xuelin 6 Yu, Jianping 5 Batwa, Sumayah 5 Gu, Xiang 5 He, Jingsong 5 Hu, Xingbiao 5 Li, Yishen 5 McAnally, Morgan 5 Meng, Jinghan 5 Sadat, Rahma 5 Xu, Wei 5 Yu, Jun 5 Zhang, Jianbing 4 Fan, Engui 4 Jin, Yongyang 4 Kang, Zhouzheng 4 Ren, Bo 4 Xu, Xixiang 4 Zhang, Haiqiang 4 Zhang, Huiqun 4 Zhang, Wenying 4 Zhang, Yufeng 4 Zhang, Yujuan 3 Abdeljabbar, Alrazi 3 Asaad, Magdy Gamil 3 Chen, Min 3 Chen, Sijia 3 Geng, Xianguo 3 Gongye, Yingyin 3 Hu, Beibei 3 Lin, Runliang 3 Strampp, Walter 3 Ünsal, Ömer 3 Yang, Jinyun 3 You, Yuncheng 3 Yu, Jing 3 Yu, Shuimeng 3 Zhao, Haiqiong 3 Zhou, Zixiang 3 Zhu, Zuonong 2 Błaszak, Maciej 2 Bullough, Robin K. 2 Caudrey, P. J. 2 Chen, Qingxian 2 Cheng, Li 2 Gai, Litao 2 Han, Jingwei 2 Jiang, Liya 2 Kuo, Chun-Ku 2 Li, Mingchu 2 Liu, Yinping 2 Luo, Lin 2 Ma, Hongcai 2 Maruno, Kenichi 2 Shao, Yijun 2 Shekhtman, Boris 2 Shi, Changguang 2 Tam, Hon-Wah 2 Tu, Junyi 2 Wu, Hongyou 2 Yao, Yuqin 2 Ye, Rusuo 2 Ye, Yujian 2 Yıldırım, Ahmet 2 Yin, Yuhang 2 Zhang, Weiguo 2 Zheng, Hongchan 2 Zhu, Haiyan 2 Zhu, Siming 1 Adjiri, Alle 1 Ahmed, Ahmed M. G. 1 Ali, Karmina K. 1 Appiah, Emmanuel A. 1 Bhrawy, Ali Hassan 1 Biswas, Anjan 1 Chen, Dengyuan 1 Chen, Huaitang 1 Chen, Jing 1 Chen, Junchao 1 Chen, Yuning 1 Cheng, Yi ...and 98 more Co-Authors all top 5 Serials 24 Journal of Mathematical Physics 21 Physics Letters. A 19 Computers & Mathematics with Applications 19 Applied Mathematics and Computation 15 Communications in Nonlinear Science and Numerical Simulation 14 Journal of Physics A: Mathematical and General 13 Applied Mathematics Letters 12 Chaos, Solitons and Fractals 12 East Asian Journal on Applied Mathematics 10 Mathematical Methods in the Applied Sciences 9 Nonlinear Dynamics 8 Communications in Theoretical Physics 8 Advances in Mathematical Physics 7 International Journal of Modern Physics B 7 Journal of Geometry and Physics 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal of the Physical Society of Japan 6 Complexity 6 International Journal of Nonlinear Sciences and Numerical Simulation 5 Reports on Mathematical Physics 5 Chinese Annals of Mathematics. Series B 5 Frontiers of Mathematics in China 5 Analysis and Mathematical Physics 4 International Journal of Theoretical Physics 4 Journal of Mathematical Analysis and Applications 4 Mathematics and Computers in Simulation 4 Chinese Science Bulletin 4 Acta Mathematica Scientia. Series B. (English Edition) 3 Letters in Mathematical Physics 3 Chinese Annals of Mathematics. Series A 3 Physica D 3 Journal of Nonlinear Mathematical Physics 3 Advances in Applied Mathematics and Mechanics 2 Modern Physics Letters B 2 Inverse Problems 2 Physica A 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Journal of Fudan University. Natural Science 2 Journal of Nonlinear Mathematical Physics 2 Qualitative Theory of Dynamical Systems 2 Physica Scripta 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 International Journal of Geometric Methods in Modern Physics 2 AIP Conference Proceedings 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 2 Symmetry 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Applicable Analysis 1 International Journal of Non-Linear Mechanics 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Physics Letters. B 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Reviews in Mathematical Physics 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica 1 Journal of Systems Science and Mathematical Sciences 1 Acta Mathematicae Applicatae Sinica. English Series 1 Northeastern Mathematical Journal 1 Acta Physica Sinica 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Acta Mathematica Scientia 1 Journal of Partial Differential Equations 1 Journal of Nonlinear Science 1 Applied Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Fractals 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Chaos 1 Regular and Chaotic Dynamics 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Proceedings of the Romanian Academy. Series A: Mathematics, Physics, Technical Sciences, Information Science 1 Advances in Difference Equations 1 Waves in Random and Complex Media 1 Pacific Journal of Applied Mathematics 1 Science China. Mathematics 1 Communication on Applied Mathematics and Computation 1 Journal of Applied Analysis and Computation 1 Journal of Applied Nonlinear Dynamics ...and 3 more Serials all top 5 Fields 295 Partial differential equations (35-XX) 258 Dynamical systems and ergodic theory (37-XX) 24 Computer science (68-XX) 21 Nonassociative rings and algebras (17-XX) 17 Quantum theory (81-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Numerical analysis (65-XX) 10 Mechanics of particles and systems (70-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Difference and functional equations (39-XX) 8 Fluid mechanics (76-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Topological groups, Lie groups (22-XX) 5 Ordinary differential equations (34-XX) 4 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 2 Number theory (11-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 339 Publications have been cited 9,106 times in 2,596 Documents Cited by ▼ Year ▼ Lump solutions to the Kadomtsev-Petviashvili equation. Zbl 1364.35337 Ma, Wen-Xiu 282 2015 Lump solutions to nonlinear partial differential equations via Hirota bilinear forms. Zbl 1387.35532 Ma, Wen-Xiu; Zhou, Yuan 276 2018 Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions. Zbl 1062.37077 Ma, Wen-Xiu; You, Yuncheng 199 2005 Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation. Zbl 0863.35106 Ma, W. X.; Fuchssteiner, B. 190 1996 A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation. Zbl 1198.35231 Ma, Wen-Xiu; Lee, Jyh-Hao 175 2009 Integrable theory of the perturbation equations. Zbl 1080.37578 Ma, W. X.; Fuchssteiner, B. 172 1996 Linear superposition principle applying to Hirota bilinear equations. Zbl 1217.35164 Ma, Wen-Xiu; Fan, Engui 170 2011 Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras. Zbl 1104.70011 Ma, Wen-Xiu; Chen, Min 159 2006 Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm. Zbl 1280.35122 Ma, Wen-Xiu; Zhu, Zuonong 145 2012 A multiple exp-function method for nonlinear differential equations and its application. Zbl 1219.35209 Ma, Wen-Xiu; Huang, Tingwen; Zhang, Yi 144 2010 Complexiton solutions to the Korteweg-de Vries equation. Zbl 0997.35066 Ma, Wenxiu 137 2002 Semi-direct sums of Lie algebras and continuous integrable couplings. Zbl 1234.37049 Ma, Wen-Xiu; Xu, Xixiang; Zhang, Yufeng 128 2006 Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations. Zbl 1354.35127 Ma, Wen Xiu; Qin, Zhenyun; Lü, Xing 120 2016 Mixed lump-kink solutions to the BKP equation. Zbl 1387.35540 Zhang, Jian-bing; Ma, Wen-Xiu 117 2017 Mixed lump-kink solutions to the KP equation. Zbl 1394.35461 Zhao, Hai-qiong; Ma, Wen-Xiu 114 2017 Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation. Zbl 1355.35159 Lü, Xing; Ma, Wen-Xiu 111 2016 Semidirect sums of Lie algebras and discrete integrable couplings. Zbl 1111.37059 Ma, Wen-Xiu; Xu, Xi-Xiang; Zhang, Yufeng 103 2006 Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation. Zbl 1416.35232 Ma, Wen-Xiu; Yong, Xuelin; Zhang, Hai-Qiang 98 2018 Integration of the soliton hierarchy with self-consistent sources. Zbl 0968.37023 Zeng, Yunbo; Ma, Wen-Xiu; Lin, Runliang 90 2000 A discrete variational identity on semi-direct sums of Lie algebras. Zbl 1128.22014 Ma, Wen-Xiu 90 2007 Enlarging spectral problems to construct integrable couplings of soliton equations. Zbl 1042.37057 Ma, Wen-Xiu 90 2003 Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system. Zbl 1397.35260 Ma, Wen-Xiu 88 2018 Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation. Zbl 1403.35261 Yang, Jin-Yun; Ma, Wen-Xiu; Qin, Zhenyun 87 2018 A second Wronskian formulation of the Boussinesq equation. Zbl 1159.37425 Ma, Wen-Xiu; Li, Chun-Xia; He, Jingsong 86 2009 Hirota bilinear equations with linear subspaces of solutions. Zbl 1245.35109 Ma, Wen-Xiu; Zhang, Yi; Tang, Yaning; Tu, Junyi 84 2012 Partial differential equations possessing Frobenius integrable decompositions. Zbl 1203.35059 Ma, Wen-Xiu; Wu, Hongyou; He, Jingsong 82 2007 Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1349.35007 Lü, Xing; Chen, Shou-Ting; Ma, Wen-Xiu 82 2016 Abundant lumps and their interaction solutions of \((3+1)\)-dimensional linear PDEs. Zbl 1401.35261 Ma, Wen-Xiu 81 2018 Exact one-periodic and two-periodic wave solutions to Hirota bilinear equations in \((2+1)\) dimensions. Zbl 1168.35426 Ma, Wen-Xiu; Zhou, Ruguang; Gao, Liang 78 2009 Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations. Zbl 1375.37162 Ma, Wen-Xiu; Zhou, Yuan; Dougherty, Rachael 77 2016 A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations. Zbl 1075.37030 Ma, Wen-Xiu; Xu, Xi-Xiang 75 2004 Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations. Zbl 0984.37097 Ma, Wen-Xiu; Fuchssteiner, Benno 72 1999 Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation. Zbl 1403.35259 Chen, Shou-Ting; Ma, Wen-Xiu 70 2018 Lump solutions to the BKP equation by symbolic computation. Zbl 1357.35080 Yang, Jing-Yun; Ma, Wen-Xiu 67 2016 Bilinear equations and resonant solutions characterized by Bell polynomials. Zbl 1396.35054 Ma, Wen-Xiu 63 2013 Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction. Zbl 1434.35172 Yin, Yu-Hang; Ma, Wen-Xiu; Liu, Jian-Guo; Lü, Xing 61 2018 Rational solutions of the Toda lattice equation in Casoratian form. Zbl 1090.37053 Ma, Wen Xiu; You, Yuncheng 60 2004 The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy. Zbl 1073.37537 Ma, W. X.; Fuchssteiner, B. 59 1996 Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair. Zbl 1058.37055 Ma, Wenxiu; Xu, Xixiang 59 2004 Direct search for exact solutions to the nonlinear Schrödinger equation. Zbl 1180.65130 Ma, Wen-Xiu; Chen, Min 55 2009 A supertrace identity and its applications to superintegrable systems. Zbl 1153.81398 Ma, Wen-Xiu; He, Jing-Song; Qin, Zhen-Yun 55 2008 Lump solutions to a \((2+1)\)-dimensional extended KP equation. Zbl 1409.35183 Manukure, Solomon; Zhou, Yuan; Ma, Wen-Xiu 55 2018 Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy. Zbl 1001.37061 Ma, Wen-Xiu 54 2000 Lump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equation. Zbl 1401.35273 Ma, Wen-Xiu 54 2016 An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems. Zbl 0992.37502 Ma, Wenxiu; Strampp, W. 53 1994 Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves. Zbl 1481.74408 Hua, Yan-Fei; Guo, Bo-Ling; Ma, Wen-Xiu; Lü, Xing 53 2019 Darboux transformations of classical Boussinesq system and its new solutions. Zbl 1115.35329 Li, Yishen; Ma, Wen-Xiu; Zhang, Jin E. 52 2000 Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation. Zbl 1225.65098 Ma, Wen-Xiu; Abdeljabbar, Alrazi; Asaad, Magdy Gamil 52 2011 Conservation laws by symmetries and adjoint symmetries. Zbl 1386.70041 Ma, Wen-Xiu 52 2018 Solving the KdV hierarchy with self-consistent sources by inverse scattering method. Zbl 0972.35128 Lin, R.; Zeng, Y.; Ma, W.-X. 50 2001 Application of Hirota’s bilinear formalism to the Toeplitz lattice - some special soliton-like solutions. Zbl 0985.35072 Hu, Xingbiao; Ma, Wenxiu 50 2002 Abundant lump-type solutions of the Jimbo-Miwa equation in \((3+1)\)-dimensions. Zbl 1368.35238 Yang, J. Y.; Ma, W. X. 50 2017 Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions. Zbl 1421.35314 Ma, Wen-Xiu 50 2019 Integrable couplings of vector AKNS soliton equations. Zbl 1067.37096 Ma, Wen-Xiu 49 2005 A note on rational solutions to a Hirota-Satsuma-like equation. Zbl 1343.35066 Lü, Xing; Ma, Wen-Xiu; Chen, Shou-Ting; Khalique, Chaudry Masood 49 2016 A refined invariant subspace method and applications to evolution equations. Zbl 1263.37071 Ma, Wen-Xiu 49 2012 The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited. Zbl 0965.35144 Tam, Hon-Wah; Ma, Wen-Xiu; Hu, Xing-Biao; Wang, Dao-Liu 48 2000 Trilinear equations, Bell polynomials, and resonant solutions. Zbl 1276.35131 Ma, Wen-Xiu 48 2013 Two binary Darboux transformations for the KdV hierarchy with self-consistent sources. Zbl 1005.37044 Zeng, Yunbo; Ma, Wen-Xiu; Shao, Yijun 47 2001 A new hierarchy of Liouville integrable generalized Hamiltonian equations and its reduction. Zbl 0765.58011 Ma, Wenxiu 47 1992 Complexiton solutions to integrable equations. Zbl 1224.37035 Ma, Wen-Xiu 46 2005 Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies. Zbl 1406.37051 Ma, Wen-Xiu 46 2019 Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations. Zbl 1440.35307 Ma, Wen-Xiu 46 2020 Wronskian solutions of the Boussinesq equation – solitons, negatons, positons and complexitons. Zbl 1111.35044 Li, Chun-Xia; Ma, Wen-Xiu; Liu, Xiao-Jun; Zeng, Yun-Bo 45 2007 Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation. Zbl 1456.35178 Chen, Si-Jia; Ma, Wen-Xiu; Lü, Xing 44 2020 Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations. Zbl 0764.35091 Ma, Wenxiu 43 1992 Darboux transformations for a Lax integrable system in \(2n\) dimensions. Zbl 0869.58029 Ma, Wenxiu 43 1997 Variational identities and applications to Hamiltonian structures of soliton equations. Zbl 1238.37020 Ma, Wen-Xiu 42 2009 Adjoint symmetry constraints of multicomponent AKNS equations. Zbl 1183.37109 Ma, Wenxiu; Zhou, Ruguang 41 2002 A bilinear Bäcklund transformation of a \((3+1)\)-dimensional generalized KP equation. Zbl 1248.37070 Ma, Wen-Xiu; Abdeljabbar, Alrazi 40 2012 Comment on the \(3+1\) dimensional Kadomtsev-Petviashvili equations. Zbl 1221.35353 Ma, Wen-Xiu 40 2011 Binary symmetry constraints of \(\mathcal N\)-wave interaction equations in \(1+1\) and \(2+1\) dimensions. Zbl 1063.37065 Ma, Wen-Xiu; Zhou, Zixiang 39 2001 Adjoint symmetry constraints leading to binary nonlinearization. Zbl 1362.35026 Ma, Wen-Xiu; Zhou, Ruguang 39 2002 A study on lump solutions to a generalized Hirota-Satsuma-ito equation in \((2+1)\)-dimensions. Zbl 1407.35177 Ma, Wen-Xiu; Li, Jie; Khalique, Chaudry Masood 39 2018 Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source. Zbl 1409.35187 Yong, Xuelin; Ma, Wen-Xiu; Huang, Yehui; Liu, Yong 39 2018 Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation. Zbl 1068.35138 Ma, Wen-Xiu 38 2004 Soliton, positon and negaton solutions to a Schrödinger self-consistent source equation. Zbl 1133.81332 Ma, Wen-Xiu 38 2003 Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources. Zbl 1098.37064 Ma, Wen-Xiu 38 2005 Abundant exact solutions and interaction phenomena of the \((2 + 1)\)-dimensional YTSF equation. Zbl 1448.35441 Chen, Si-Jia; Yin, Yu-Hang; Ma, Wen-Xiu; Lü, Xing 37 2019 Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation. Zbl 1443.35136 Lü, Xing; Ma, Wen-Xiu; Zhou, Yuan; Khalique, Chaudry Masood 37 2016 \(N\)-soliton solution of a combined pKP-BKP equation. Zbl 1470.35310 Ma, Wen-Xiu 37 2021 A soliton hierarchy associated with \(\mathrm{so}(3,\mathbb R)\). Zbl 1329.35270 Ma, Wen-Xiu 36 2013 \(N\)-soliton solution and the Hirota condition of a (2+1)-dimensional combined equation. Zbl 07431516 Ma, Wen-Xiu 36 2021 Lump solutions of a generalized Calogero-Bogoyavlenskii-Schiff equation. Zbl 1434.35153 Chen, Shou-Ting; Ma, Wen-Xiu 36 2018 Rational solutions to a KdV-like equation. Zbl 1338.35400 Zhang, Yi; Ma, Wen-Xiu 35 2015 Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations. Zbl 1524.35508 Ma, Wen-Xiu; Yong, Xuelin; Lü, Xing 35 2021 Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line. Zbl 1427.35232 Hu, Bei-Bei; Xia, Tie-Cheng; Ma, Wen-Xiu 35 2018 Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation. Zbl 1509.35101 Zhou, Yuan; Manukure, Solomon; Ma, Wen-Xiu 35 2019 Characteristics and interactions of solitary and lump waves of a \((2+1)\)-dimensional coupled nonlinear partial differential equation. Zbl 1437.37095 Ren, Bo; Ma, Wen-Xiu; Yu, Jun 34 2019 A search for lump solutions to a combined fourth-order nonlinear PDE in (2+1)-dimensions. Zbl 1464.35287 Ma, Wen-Xiu 34 2019 A coupled AKNS-Kaup-Newell soliton hierarchy. Zbl 0947.35118 Ma, Wen-Xiu; Zhou, Ruguang 33 1999 A direct bilinear Bäcklund transformation of a \((2+1)\)-dimensional Korteweg-de Vries-like model. Zbl 1327.35341 Lü, Xing; Ma, Wen-Xiu; Khalique, Chaudry Masood 33 2015 Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations. Zbl 1477.37078 Ma, Wen-Xiu 33 2021 The algebraic structure of zero curvature representations and application to coupled KdV systems. Zbl 0789.35144 Ma, Wenxiu 32 1993 Additional symmetries and string equation of the CKP hierarchy. Zbl 1243.37056 He, Jingsong; Tian, Kelei; Foerster, Angela; Ma, Wen-Xiu 31 2007 K symmetries and \(\tau\) symmetries of evolution equations and their Lie algebras. Zbl 0722.35078 Ma, Wenxiu 31 1990 Solitary waves with the Madelung fluid description: a generalized derivative nonlinear Schrödinger equation. Zbl 1467.35300 Lü, Xing; Ma, Wen-Xiu; Yu, Jun; Khalique, Chaudry Masood 31 2016 Trigonal curves and algebro-geometric solutions to soliton hierarchies. I. Zbl 1404.35392 Ma, Wen-Xiu 31 2017 The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation. Zbl 1412.35380 Ma, Wen-Xiu 31 2019 An approach for constructing non-isospectral hierarchies of evolution equations. Zbl 0754.35145 Ma, Wenxiu 30 1992 Sasa-Satsuma type matrix integrable hierarchies and their Riemann-Hilbert problems and soliton solutions. Zbl 1512.37081 Ma, Wen-Xiu 9 2023 Integrable nonlocal nonlinear Schrödinger hierarchies of type \((-\lambda*,\lambda)\) and soliton solutions. Zbl 07749696 Ma, Wen-Xiu 5 2023 AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials. Zbl 1527.37072 Ma, Wen-Xiu 4 2023 Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type \((-\lambda, \lambda)\). Zbl 07792312 Ma, Wen-Xiu 4 2023 Four-component integrable hierarchies of Hamiltonian equations with \((m+n+2)\)th-order Lax pairs. Zbl 1521.37074 Ma, Wen-Xiu 3 2023 A multi-component integrable hierarchy and its integrable reductions. Zbl 1518.37069 Ma, Wen-Xiu 1 2023 Riemann-Hilbert problems and soliton solutions for a generalized coupled Sasa-Satsuma equation. Zbl 1508.35028 Liu, Yaqing; Zhang, Wen-Xin; Ma, Wen-Xiu 1 2023 Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies. Zbl 1513.37041 Ma, Wenxiu 27 2022 Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies. Zbl 1487.35270 Ma, Wen-Xiu 26 2022 Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions. Zbl 1502.37069 Ma, Wen-Xiu 23 2022 Type \(( - \lambda, - \lambda^\ast)\) reduced nonlocal integrable mKdV equations and their soliton solutions. Zbl 1492.35276 Ma, Wen-Xiu 16 2022 Integrable nonlocal nonlinear Schrödinger equations associated with \(\mathrm{so}(3,\mathbb{R})\). Zbl 1493.37078 Ma, Wen-Xiu 16 2022 Reduced non-local integrable NLS hierarchies by pairs of local and non-local constraints. Zbl 1513.37040 Ma, Wen-Xiu 14 2022 Reduced nonlocal integrable mKdV equations of type \((-\lambda, \lambda)\) and their exact soliton solutions. Zbl 1511.35315 Ma, Wen-Xiu 14 2022 \(N\)-soliton solutions and the Hirota conditions in (1 + 1)-dimensions. Zbl 07533159 Ma, Wen-Xiu 11 2022 Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili equation. Zbl 1508.35133 Sun, Yong-Li; Chen, Jing; Ma, Wen-Xiu; Yu, Jian-Ping; Khalique, Chaudry Masood 5 2022 A \(\bar{\partial}\)-steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 1486.37035 Wang, Fudong; Ma, Wen-Xiu 4 2022 Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations. Zbl 1509.37097 Ma, Wen-Xiu; Huang, Yehui; Wang, Fudong 4 2022 A generalized Liouville’s formula. Zbl 1513.35472 Ma, Wen-Xiu; Yong, Xue-lin; Qin, Zhen-yun; Gu, Xiang; Zhou, Yuan 4 2022 Lie symmetry analysis and wave propagation in variable-coefficient nonlinear physical phenomena. Zbl 1484.76061 Ali, Mohamed R.; Ma, Wen-Xiu; Sadat, R. 2 2022 The relationship between the conservation laws and multi-Hamiltonian structures of the Kundu equation. Zbl 07781363 Zhang, Jian-bing; Gongye, Yingyin; Ma, Wen-Xiu 1 2022 \(N\)-soliton solution of a combined pKP-BKP equation. Zbl 1470.35310 Ma, Wen-Xiu 37 2021 \(N\)-soliton solution and the Hirota condition of a (2+1)-dimensional combined equation. Zbl 07431516 Ma, Wen-Xiu 36 2021 Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations. Zbl 1524.35508 Ma, Wen-Xiu; Yong, Xuelin; Lü, Xing 35 2021 Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations. Zbl 1477.37078 Ma, Wen-Xiu 33 2021 Binary Darboux transformation for general matrix mKdV equations and reduced counterparts. Zbl 1498.35481 Ma, Wen-Xiu 11 2021 A binary Darboux transformation for multicomponent NLS equations and their reductions. Zbl 1460.37067 Ma, Wen-Xiu; Batwa, Sumayah 10 2021 Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations. Zbl 1459.35304 Ma, Wen-Xiu 10 2021 \(N\)-soliton solutions and dynamic property analysis of a generalized three-component Hirota-Satsuma coupled KdV equation. Zbl 1475.35111 Sun, Yong-Li; Ma, Wen-Xiu; Yu, Jian-Ping 8 2021 Linear superposition of Wronskian rational solutions to the KdV equation. Zbl 1521.35161 Ma, Wen-Xiu 6 2021 Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation. Zbl 1458.35388 Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu 5 2021 Lump solutions of a nonlinear PDE containing a third-order derivative of time. Zbl 1458.35116 Ding, Liyuan; Ma, Wen-Xiu; Chen, Qingxian; Huang, Yehui 3 2021 Lump and interaction solutions of the (2+1)-dimensional bSK equation. Zbl 1482.35195 Ma, Hong-Cai; Wu, Han-Fang; Ma, Wen-Xiu; Deng, Ai-Ping 3 2021 Inverse scattering for nonlocal reverse-space multicomponent nonlinear Schrödinger equations. Zbl 1455.35239 Ma, Wen-Xiu; Huang, Yehui; Wang, Fudong 3 2021 Investigation of new solutions for an extended (2 + 1)-dimensional Calogero-Bogoyavlenskii-Schif equation. Zbl 1480.76095 Ali, Mohamed R.; Sadat, R.; Ma, Wen-Xiu 2 2021 Study on lump behavior for a new (3+1)-dimensional generalised Kadomtsev-Petviashvili equation. Zbl 1479.35031 Lü, Xing; Chen, Si-Jia; Liu, Guo-Zhu; Ma, Wen-Xiu 2 2021 Riemann-Hilbert problems of a nonlocal reverse-time six-component AKNS system of fourth order and its exact soliton solutions. Zbl 1455.35165 Adjiri, Alle; Ahmed, Ahmed M. G.; Ma, Wen-Xiu 1 2021 Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations. Zbl 1440.35307 Ma, Wen-Xiu 46 2020 Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation. Zbl 1456.35178 Chen, Si-Jia; Ma, Wen-Xiu; Lü, Xing 44 2020 Inverse scattering transforms and soliton solutions of nonlocal reverse-space nonlinear Schrödinger hierarchies. Zbl 1454.35348 Ma, Wen-Xiu; Huang, Yehui; Wang, Fudong 29 2020 Symbolic computation of lump solutions to a combined equation involving three types of nonlinear terms. Zbl 1464.35289 Ma, Wen-Xiu; Zhang, Yi; Tang, Yaning 24 2020 Long-time asymptotics of a three-component coupled nonlinear Schrödinger system. Zbl 1440.35308 Ma, Wen-Xiu 24 2020 A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equations via the linear superposition principle. Zbl 1430.35048 Kuo, Chun-Ku; Ma, Wen-Xiu 15 2020 A new \((3+1)\)-dimensional Hirota bilinear equation: its Bäcklund transformation and rational-type solutions. Zbl 1450.37065 Hosseini, Kamyar; Samavat, Majid; Mirzazadeh, Mohammad; Ma, Wen-Xiu; Hammouch, Zakia 14 2020 Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime mKdV equations. Zbl 1452.37069 Ma, Wen-Xiu 13 2020 Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3 + 1)-dimensional generalized breaking soliton equation. Zbl 1448.35085 Gai, Litao; Ma, Wen-Xiu; Li, Mingchu 11 2020 Binary Darboux transformation and soliton solutions for the coupled complex modified Korteweg-de Vries equations. Zbl 1446.35167 Zhang, Yi; Ye, Rusuo; Ma, Wenxiu 11 2020 Two integrable couplings of a generalized d-Kaup-Newell hierarchy and their Hamiltonian and bi-Hamiltonian structures. Zbl 1432.37089 McAnally, Morgan; Ma, Wen-Xiu 9 2020 A review of operational spare parts service logistics in service control towers. Zbl 1430.90143 Topan, E.; Eruguz, A. S.; Ma, W.; van der Heijden, M. C.; Dekker, R. 7 2020 Conservation laws and \(\tau\)-symmetry algebra of the Gerdjikov-Ivanov soliton hierarchy. Zbl 1440.37066 Zhang, Jian-bing; Gongye, Yingyin; Ma, Wen-Xiu 7 2020 Lump solutions to a generalized Hietarinta-type equation via symbolic computation. Zbl 1442.35366 Batwa, Sumayah; Ma, Wen-Xiu 6 2020 Analytical solutions for nonlinear dispersive physical model. Zbl 1451.35014 Ma, Wen-Xiu; Ali, Mohamed R.; Sadat, R. 5 2020 Lump-type solution and breather lump-kink interaction phenomena to a \(( 3+1)\)-dimensional GBK equation based on trilinear form. Zbl 1516.37114 Gai, Litao; Ma, Wen-Xiu; Li, Mingchu 5 2020 Lump solutions of the 2D Toda equation. Zbl 1451.35175 Sun, Yong-Li; Ma, Wen-xiu; Yu, Jian-Ping 3 2020 A study on lump solutions to a (2+1)-dimensional completely generalized Hirota-Satsuma-Ito equation. Zbl 1451.35155 Zhang, Yufeng; Ma, Wen-Xiu; Yang, Jin-Yun 3 2020 Lump solutions of a nonlinear PDE combining with a new fourth-order term \(D_x^2 D_t^2 *\). Zbl 1435.35105 Zhang, Liqin; Ma, Wen-Xiu; Huang, Yehui 3 2020 Lump-type and interaction solutions to an extended \((3+1)\)-dimensional Jimbo-Miwa equation. Zbl 1434.35169 Qi, Feng-Hua; Ma, Wen-Xiu; Qu, Qi-Xing; Wang, Pan 3 2020 Explicit solutions and Darboux transformations of a generalized D-Kaup-Newell hierarchy. Zbl 1517.37068 McAnally, Morgan; Ma, Wen-Xiu 1 2020 Lump solutions of the modified Kadomtsev-Petviashvili-I equation. Zbl 1464.35304 Yong, Xuelin; Chen, Yuning; Huang, Yehui; Ma, Wen-Xiu 1 2020 Symmetry breaking soliton, breather, and lump solutions of a nonlocal Kadomtsev-Petviashvili system. Zbl 1441.35017 Wu, Hong-Yu; Fei, Jin-Xi; Ma, Zheng-Yi; Chen, Jun-Chao; Ma, Wen-Xiu 1 2020 Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves. Zbl 1481.74408 Hua, Yan-Fei; Guo, Bo-Ling; Ma, Wen-Xiu; Lü, Xing 53 2019 Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions. Zbl 1421.35314 Ma, Wen-Xiu 50 2019 Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies. Zbl 1406.37051 Ma, Wen-Xiu 46 2019 Abundant exact solutions and interaction phenomena of the \((2 + 1)\)-dimensional YTSF equation. Zbl 1448.35441 Chen, Si-Jia; Yin, Yu-Hang; Ma, Wen-Xiu; Lü, Xing 37 2019 Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation. Zbl 1509.35101 Zhou, Yuan; Manukure, Solomon; Ma, Wen-Xiu 35 2019 Characteristics and interactions of solitary and lump waves of a \((2+1)\)-dimensional coupled nonlinear partial differential equation. Zbl 1437.37095 Ren, Bo; Ma, Wen-Xiu; Yu, Jun 34 2019 A search for lump solutions to a combined fourth-order nonlinear PDE in (2+1)-dimensions. Zbl 1464.35287 Ma, Wen-Xiu 34 2019 The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation. Zbl 1412.35380 Ma, Wen-Xiu 31 2019 Rational solutions and their interaction solutions of the (2+1)-dimensional modified dispersive water wave equation. Zbl 1442.35400 Ren, Bo; Ma, Wen-Xiu; Yu, Jun 30 2019 Riemann-Hilbert problems and soliton solutions of a multicomponent mkdv system and its reduction. Zbl 1503.35121 Ma, Wen-xiu 15 2019 Interaction phenomena between a lump and other multi-solitons for the \((2+1)\)-dimensional BLMP and Itô equations. Zbl 1439.37073 He, Chunhua; Tang, Yaning; Ma, Wenxiu; Ma, Jinli 14 2019 New exact solutions of nonlinear \((3 + 1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation. Zbl 1444.35127 Ali, Mohamed R.; Ma, Wen-Xiu 12 2019 Riemann-Hilbert problems of a six-component mKdV system and its soliton solutions. Zbl 1499.35539 Ma, Wen-Xiu 11 2019 Solution of nonlinear Volterra integral equations with weakly singular kernel by using the HOBW method. Zbl 07073474 Ali, Mohamed R.; Mousa, Mohamed M.; Ma, Wen-Xiu 11 2019 Lump and interaction solutions to linear \((4+1)\)-dimensional PDEs. Zbl 1499.35527 Ma, Wen-Xiu 10 2019 Lump and interaction solutions of linear PDEs in \((3 + 1)\)-dimensions. Zbl 1464.35288 Ma, Wen-Xiu 9 2019 Exact solutions to a generalized Bogoyavlensky-Konopelchenko equation via Maple symbolic computations. Zbl 1417.35167 Chen, Shou-Ting; Ma, Wen-Xiu 9 2019 Diversity of interaction solutions of a shallow water wave equation. Zbl 1432.35180 Yu, Jian-Ping; Ma, Wen-Xiu; Ren, Bo; Sun, Yong-Li; Khalique, Chaudry Masood 6 2019 A Darboux transformation for the Volterra lattice equation. Zbl 1435.35331 Ma, Wen-Xiu 6 2019 Lump solutions for two mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko equations. Zbl 1452.35063 Ren, Bo; Ma, Wen-Xiu; Yu, Jun 6 2019 Multiple-soliton solutions and lumps of a \((3+1)\)-dimensional generalized KP equation. Zbl 1439.35420 Yu, Jianping; Wang, Fudong; Ma, Wenxiu; Sun, Yongli; Khalique, Chaudry Masood 6 2019 A generating scheme for conservation laws of discrete zero curvature equations and its application. Zbl 1443.65434 Ma, Wen-Xiu 6 2019 Dynamics of lump solitary wave of Kadomtsev-Petviashvili-Boussinesq-like equation. Zbl 1442.35402 Sun, Yong-Li; Ma, Wen-Xiu; Yu, Jian-Ping; Khalique, Chaudry Masood 5 2019 Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation. Zbl 1508.65150 Ma, Li-Yuan; Zhao, Hai-Qiong; Shen, Shou-Feng; Ma, Wen-Xiu 4 2019 Riemann-Hilbert approach for a coherently-coupled nonlinear Schrödinger system associated with a \(4\times 4\) matrix spectral problem. Zbl 1448.37080 Zhang, Hai-Qiang; Pei, Zhi-jie; Ma, Wen-Xiu 4 2019 High-order lump-type solutions and their interaction solutions to a \((3+1)\)-dimensional nonlinear evolution equation. Zbl 1452.35061 Fang, Tao; Wang, Hui; Wang, Yun-Hu; Ma, Wen-Xiu 4 2019 Riemann-Hilbert approach and \(N\)-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber. Zbl 1459.35303 Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu 3 2019 Painlevé analysis, soliton solutions and lump-type solutions of the (3+1)-dimensional generalized KP equation. Zbl 1442.35376 Hao, Xiazhi; Liu, Yinping; Li, Zhibin; Ma, Wen-Xiu 3 2019 Global behavior of a new rational nonlinear higher-order difference equation. Zbl 1429.39002 Ma, Wen-Xiu 1 2019 Abundant multiwave solutions to the \((3+1)\)-dimensional Sharma-Tasso-Olver-like equation. Zbl 1463.35150 Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu 1 2019 Lump solutions to nonlinear partial differential equations via Hirota bilinear forms. Zbl 1387.35532 Ma, Wen-Xiu; Zhou, Yuan 276 2018 Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation. Zbl 1416.35232 Ma, Wen-Xiu; Yong, Xuelin; Zhang, Hai-Qiang 98 2018 Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system. Zbl 1397.35260 Ma, Wen-Xiu 88 2018 Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation. Zbl 1403.35261 Yang, Jin-Yun; Ma, Wen-Xiu; Qin, Zhenyun 87 2018 Abundant lumps and their interaction solutions of \((3+1)\)-dimensional linear PDEs. Zbl 1401.35261 Ma, Wen-Xiu 81 2018 Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation. Zbl 1403.35259 Chen, Shou-Ting; Ma, Wen-Xiu 70 2018 Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction. Zbl 1434.35172 Yin, Yu-Hang; Ma, Wen-Xiu; Liu, Jian-Guo; Lü, Xing 61 2018 Lump solutions to a \((2+1)\)-dimensional extended KP equation. Zbl 1409.35183 Manukure, Solomon; Zhou, Yuan; Ma, Wen-Xiu 55 2018 Conservation laws by symmetries and adjoint symmetries. Zbl 1386.70041 Ma, Wen-Xiu 52 2018 A study on lump solutions to a generalized Hirota-Satsuma-ito equation in \((2+1)\)-dimensions. Zbl 1407.35177 Ma, Wen-Xiu; Li, Jie; Khalique, Chaudry Masood 39 2018 ...and 239 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,390 Authors 230 Ma, Wen-Xiu 93 Zhang, Yufeng 69 Dong, Huanhe 68 Tian, Shoufu 52 Geng, Xianguo 51 Xia, Tie-Cheng 48 Xu, Xixiang 43 Tian, Bo 41 Zhang, Yi 40 Yang, Hongwei 38 Yu, Fajun 37 Fan, Engui 37 Lü, Xing 36 Gao, Yitian 35 Zhang, Hongqing 33 Zhang, Tiantian 32 He, Jingsong 32 Tam, Hon-Wah 31 Liu, Jianguo 31 Zhang, Dajun 30 Manafian Heris, Jalil 28 Khalique, Chaudry Masood 28 Wang, Xiubin 27 Chen, Dengyuan 27 Seadawy, Aly R. 26 Wazwaz, Abdul-Majid Abdul-Rahman 26 Zhao, Qiulan 25 Chen, Yong 25 Wen, Xiaoyong 24 Li, Chuanzhong 24 Li, Xinyue 23 Wang, Dengshan 22 Mirzazadeh, Mohammad 22 Shen, Shoufeng 21 Sun, Yepeng 21 Xue, Bo 20 Yang, Hongxiang 20 Zeng, Yunbo 19 Zhao, Zhonglong 19 Zhou, Ruguang 18 Ren, Bo 17 Han, Bo 17 Hu, Xingbiao 17 Li, Bangqing 17 Ma, Yulan 17 Xin, Xiangpeng 17 Zhang, Haiqiang 16 Hu, Beibei 16 Ilhan, Onur Alp 16 Li, Zhu 16 Tang, Yaning 16 Wang, Lei 16 Yao, Yuqin 16 Yin, Baoshu 15 Băleanu, Dumitru I. 15 Ma, Hongcai 15 Yıldırım, Ahmet 15 Zhang, Ling 15 Zhang, Ning 14 Cheng, Jipeng 14 Li, Biao 14 Wang, Yunhu 14 Zhang, Jianbing 13 Deng, Aiping 13 Huang, Yehui 13 Inc, Mustafa 13 Li, Li 13 Wang, Haifeng 13 Xu, Tao 13 Yu, Xin 13 Zhang, Yong 13 Zhaqilao, Z. 12 Adem, Abdullahi Rashid 12 Li, Ruomeng 12 Lin, Ji 12 Liu, Yinping 12 Meng, Xianghua 12 Rizvi, Syed Tahir Raza 12 Yan, Xuewei 12 Yan, Zhenya 12 You, Fucai 12 Zhang, Lijun 12 Zhao, Haiqiong 12 Zhu, Wenhui 11 Aslan, İsmail 11 Bekir, Ahmet 11 Bilige, Sudao 11 Chen, Sijia 11 Dai, Zhengde 11 Ji, Jie 11 Liu, Jiangen 11 Qin, Zhenyun 11 Sun, Yongli 11 Wang, Hui 11 Ye, Rusuo 11 Yu, Jianping 11 Yusuf, Abdullahi A. 11 Zayed, Elsayed M. 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