Edit Profile (opens in new tab) Geng, Xianguo Co-Author Distance Author ID: geng.xianguo Published as: Geng, Xianguo; Geng, Xian-Guo; Geng, Xian Guo; Geng, X. G.; Geng, Xiangguo; Geng, Xian-guo more...less External Links: ResearchGate · dblp Documents Indexed: 235 Publications since 1988 Reviewing Activity: 32 Reviews Co-Authors: 60 Co-Authors with 221 Joint Publications 1,647 Co-Co-Authors all top 5 Co-Authors 12 single-authored 36 Xue, Bo 23 Li, Ruomeng 21 Dai, Huihui 19 Wei, Jiao 18 He, Guoliang 18 Wu, Lihua 17 Zhai, Yunyun 16 Chen, Mingming 16 Wang, Kedong 14 Cao, Cewen 13 Liu, Huan 13 Zeng, Xin 12 Wu, Yongtang 11 Zhu, Junyi 10 Shen, Jing 6 Su, Ting 5 Liu, Wenhao 5 Wu, Jianping 4 Chen, Jinbing 4 Gong, Dong 4 Guan, Liang 4 Jia, Minxin 4 Li, Fang 4 Ma, Yunling 4 Wang, Hui 4 Wang, Xin 4 Wu, Jingzhu 4 Xing, Xiuzhi 3 Li, Zhu 3 Liu, Wei 3 Ma, Wen-Xiu 3 Wang, Jia 2 Du, Huiling 2 Geng, Jingru 2 Hu, Xingbiao 2 Li, Xuemei 2 Li, Yihao 2 Nie, Hui 2 Wei, Lifei 2 Yan, Feiying 1 Cao, Cen 1 Cao, Clewen 1 Chao, Ying 1 Du, Dianlou 1 Duan, Jinqiao 1 Fan, Engui 1 Geng, Xue 1 Ji, Ting 1 Lv, Yanyan 1 Mu, Weihua 1 Tam, Hon-Wah 1 Tao, Lei 1 Wang, Hongye 1 Wang, Linlin 1 Xu, Siqi 1 Xu, Taixi 1 Xu, Yaru 1 Ye, Xiaofeng 1 Zhang, Jinshun 1 Zhou, Panpan 1 Zhu, Siming all top 5 Serials 20 Journal of Mathematical Physics 11 Chaos, Solitons and Fractals 11 Applied Mathematics Letters 10 Physics Letters. A 8 Journal of Mathematical Analysis and Applications 8 Journal of the Physical Society of Japan 8 Communications in Theoretical Physics 7 Mathematical Methods in the Applied Sciences 7 Journal of Geometry and Physics 7 Applied Mathematics and Computation 7 Journal of Physics A: Mathematical and General 7 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Nonlinear Mathematical Physics 6 Studies in Applied Mathematics 6 Physica D 5 Wave Motion 5 Journal of Nonlinear Science 5 Analysis and Mathematical Physics 4 Journal of Differential Equations 3 IMA Journal of Applied Mathematics 3 Nonlinearity 3 Theoretical and Mathematical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Acta Mathematicae Applicatae Sinica 3 Chinese Annals of Mathematics. Series A 2 Modern Physics Letters B 2 Letters in Mathematical Physics 2 Physica A 2 Reports on Mathematical Physics 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Results in Mathematics 2 Annals of Physics 2 Acta Mathematica Scientia 2 Nonlinear Dynamics 2 Mathematical Physics, Analysis and Geometry 2 Communications on Pure and Applied Analysis 2 Analysis and Applications (Singapore) 2 International Journal of Geometric Methods in Modern Physics 2 Journal of Physics A: Mathematical and Theoretical 2 East Asian Journal on Applied Mathematics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Physics Letters. B 1 Acta Mathematica Sinica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Annals of Differential Equations 1 IMRN. International Mathematics Research Notices 1 SIAM Journal on Mathematical Analysis 1 Acta Mathematica Sinica. New Series 1 Chinese Science Bulletin 1 Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Zhengzhou University. Natural Science Edition 1 Chinese Quarterly Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Qualitative Theory of Dynamical Systems 1 Journal of Applied Mathematics 1 Acta Physica Polonica B 1 Advanced Nonlinear Studies 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Xuzhou Normal University. Natural Science Edition 1 Journal of Mathematical Physics, Analysis, Geometry 1 Frontiers of Mathematics in China 1 International Journal of Applied Mathematics and Applications 1 Advances in Mathematical Physics 1 Scientia Sinica. Mathematica 1 AIMS Mathematics all top 5 Fields 183 Partial differential equations (35-XX) 178 Dynamical systems and ergodic theory (37-XX) 37 Algebraic geometry (14-XX) 13 Approximations and expansions (41-XX) 8 Ordinary differential equations (34-XX) 6 Optics, electromagnetic theory (78-XX) 5 Difference and functional equations (39-XX) 5 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 5 Quantum theory (81-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of particles and systems (70-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Operator theory (47-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 204 Publications have been cited 3,355 times in 1,465 Documents Cited by ▼ Year ▼ Relation between the Kadomtsev-Petviashvili equation and the confocal involutive system. Zbl 0947.35138 Cao, Cewen; Wu, Yongtang; Geng, Xianguo 140 1999 An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331 Geng, Xianguo; Xue, Bo 107 2009 Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy. Zbl 1304.37046 Geng, Xianguo; Zhai, Yunyun; Dai, H. H. 93 2014 The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325 Geng, Xianguo; Liu, Huan 91 2018 Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation. Zbl 1467.35282 Geng, Xianguo; Wu, Jianping 91 2016 Decomposition of the \((2+1)\)-dimensional Gardner equation and its quasi-periodic solutions. Zbl 1160.37405 Geng, Xianguo; Cao, Cewen 85 2001 A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations. Zbl 0935.37029 Wu, Yongtang; Geng, Xianguo; Hu, Xingbiao; Zhu, Siming 85 1999 C. Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy. Zbl 0719.35082 Cao, Cewen; Geng, Xianguo 78 1990 Rogue periodic waves of the sine-Gordon equation. Zbl 1440.35030 Li, Ruomeng; Geng, Xianguo 75 2020 Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations. Zbl 1039.37061 Geng, Xianguo 74 2003 A vector general nonlinear Schrödinger equation with \((m+n)\) components. Zbl 1437.35627 Geng, Xianguo; Li, Ruomeng; Xue, Bo 73 2020 \(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation. Zbl 1209.35116 Geng, Xianguo; Ma, Yunling 67 2007 Darboux transformation and soliton solutions for generalized nonlinear Schrödinger equations. Zbl 0944.35093 Geng, Xianguo; Tam, Hon-Wah 64 1999 On a vector long wave-short wave-type model. Zbl 1454.35314 Li, Ruomeng; Geng, Xianguo 64 2020 Long-time asymptotics for the spin-1 Gross-Pitaevskii equation. Zbl 1466.35326 Geng, Xianguo; Wang, Kedong; Chen, Mingming 61 2021 Decomposition of the discrete Ablowitz-Ladik hierarchy. Zbl 1533.37153 Geng, Xianguo; Dai, H. H.; Zhu, Junyi 59 2007 The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices. Zbl 1403.37078 Wei, Jiao; Geng, Xianguo; Zeng, Xin 59 2019 Classical integrable systems generated through nonlinearization of eigenvalue problems. Zbl 0728.70012 Cao, Cewen; Geng, Xianguo 57 1990 A new integrable symplectic map associated with lattice soliton equations. Zbl 0864.58028 Wu, Yongtang; Geng, Xianguo 54 1996 A three-component generalization of Camassa-Holm equation with \(N\)-peakon solutions. Zbl 1207.35254 Geng, Xianguo; Xue, Bo 54 2011 From the special \(2+1\) Toda lattice to the Kadomtsev-Petviashvili equation. Zbl 0977.37036 Cao, Cewen; Geng, Xianguo; Wu, Yongtang 53 1999 The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation. Zbl 1414.35137 Liu, Huan; Geng, Xianguo; Xue, Bo 51 2018 Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions. Zbl 1223.37093 Geng, Xianguo; Wu, Lihua; He, Guoliang 51 2011 A new hierarchy of integrable differential-difference equations and Darboux transformation. Zbl 0931.35190 Wu, Yongtang; Geng, Xianguo 50 1998 Algebro-geometric solution of the \(2+1\) dimensional Burgers equation with a discrete variable. Zbl 1052.37050 Cao, Cewen; Geng, Xianguo; Wang, Hongye 50 2002 Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation. Zbl 0941.35090 Geng, Xianguo; Wu, Yongtang; Cao, Cewen 48 1999 Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation. Zbl 1510.35281 Wu, Jianping; Geng, Xianguo 46 2017 Initial-boundary value problems for the coupled nonlinear Schrödinger equation on the half-line. Zbl 1338.35408 Geng, Xianguo; Liu, Huan; Zhu, Junyi 44 2015 Finite-band solutions of the classical Boussinesq-Burgers equations. Zbl 0944.35085 Geng, Xianguo; Wu, Yongtang 41 1999 Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy. Zbl 1309.37070 Geng, Xianguo; Wu, Lihua; He, Guoliang 38 2013 Periodic and rational solutions of the reduced Maxwell-Bloch equations. Zbl 1510.78011 Wei, Jiao; Wang, Xin; Geng, Xianguo 37 2018 Quasi-periodic solutions for some \((2+1)\)-dimensional integrable models generated by the Jaulent-Miodek hierarchy. Zbl 0978.37054 Geng, Xianguo; Cao, Cewen; Dai, H. H. 36 2001 Algebro-geometric constructions of the discrete Ablowitz-Ladik flows and applications. Zbl 1062.37092 Geng, Xianguo; Dai, H. H.; Cao, Cewen 32 2003 A nonconfocal generator of involutive systems and three associated soliton hierarchies. Zbl 0737.35083 Cao, Cewen; Geng, Xianguo 32 1991 Finite-dimensional discrete systems and integrable systems through nonlinearization of the discrete eigenvalue problem. Zbl 0784.58048 Geng, Xianguo 30 1993 Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation. Zbl 1263.35196 Geng, Xianguo; Lv, Yanyan 30 2012 Bäcklund transformations of soliton systems from symmetry constraints. Zbl 1010.37048 Ma, Wen-Xiu; Geng, Xianguo 27 2001 The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates. Zbl 1302.37044 Zhu, Junyi; Geng, Xianguo 27 2014 Darboux transformation of the discrete Ablowitz-Ladik eigenvalue problem. Zbl 0693.65091 Geng, Xianguo 25 1989 A hierarchy of coupled evolution equations with self-consistent sources and the dressing method. Zbl 1275.37034 Zhu, Junyi; Geng, Xianguo 22 2013 Nonlinearization of the Lax pairs for discrete Ablowitz-Ladik hierarchy. Zbl 1111.39011 Geng, Xianguo; Dai, H. H. 20 2007 A new super-extension of the KdV hierarchy. Zbl 1190.35197 Geng, Xianguo; Wu, Lihua 19 2010 Quasi-periodic solutions of mixed AKNS equations. Zbl 1200.35016 Geng, Xianguo; Xue, Bo 19 2010 Initial-boundary problems for the vector modified Korteweg-de Vries equation via Fokas unified transform method. Zbl 1342.35306 Liu, Huan; Geng, Xianguo 19 2016 Rational solutions for a (3+1)-dimensional nonlinear evolution equation. Zbl 1450.35242 Wang, Xin; Wei, Jiao; Geng, Xianguo 19 2020 Long-time asymptotics of the coupled modified Korteweg-de Vries equation. Zbl 1420.35313 Geng, Xianguo; Chen, Mingming; Wang, Kedong 19 2019 A super Camassa-Holm equation with \(N\)-peakon solutions. Zbl 1282.35284 Geng, Xianguo; Xue, Bo; Wu, Lihua 18 2013 Trace formula and new form of \(N\)-soliton to the Gerdjikov-Ivanov equation. Zbl 1402.35068 Nie, Hui; Zhu, Junyi; Geng, Xianguo 18 2018 Algebro-geometric quasi-periodic solutions to the three-wave resonant interaction hierarchy. Zbl 1319.35211 He, Guoliang; Geng, Xianguo; Wu, Lihua 18 2014 A finite-dimensional integrable system associated with the three-wave interaction equations. Zbl 0955.37034 Wu, Yongtang; Geng, Xianguo 17 1999 Inverse scattering transform of the coupled Sasa-Satsuma equation by Riemann-Hilbert approach. Zbl 1365.35167 Wu, Jian-Ping; Geng, Xian-Guo 17 2017 A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. Zbl 1490.35093 Geng, Xianguo; Li, Ruomeng; Xue, Bo 16 2022 Quasi-periodic solutions of the \(2+1\) dimensional modified Korteweg-de Vries equation. Zbl 0937.35155 Geng, Xianguo; Cao, Cewen 15 1999 Explicit solutions of the \(2+1\)-dimensional breaking soliton equation. Zbl 1062.35103 Geng, Xianguo; Cao, Cewen 15 2004 Soliton solutions and quasiperiodic solutions of modified Korteweg-de Vries type equations. Zbl 1311.35255 Geng, Xianguo; Xue, Bo 13 2010 Grammian determinant solution and Pfaffianization for a \((3+1)\)-dimensional soliton equation. Zbl 1183.35237 Wu, Jian-Ping; Geng, Xian-Guo 13 2009 Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations. Zbl 1529.37042 Jia, Minxin; Geng, Xianguo; Wei, Jiao 13 2022 Explicit quasi-periodic solutions of the Kaup-Newell hierarchy. Zbl 1317.37088 Geng, Xianguo; Li, Zhu; Xue, Bo; Guan, Liang 13 2015 Algebro-geometric solutions of \((2+1)\)-dimensional coupled modified Kadomtsev-Petviashvili equations. Zbl 0991.37045 Geng, Xianguo; Dai, H. H. 12 2000 Darboux transformation of the Drinfeld-Sokolov-Satsuma-Hirota system and exact solutions. Zbl 1360.37168 Geng, Xianguo; Li, Ruomeng 12 2015 Algebro-geometric solutions to the Manakov hierarchy. Zbl 1338.35384 Wu, Lihua; Geng, Xianguo; He, Guoliang 12 2016 A super extension of Kaup-Newell hierarchy. Zbl 1222.37052 Geng, Xian-Guo; Wu, Li-Hua 12 2010 The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy. Zbl 1421.35335 Geng, Xianguo; Zeng, Xin; Wei, Jiao 12 2019 A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions. Zbl 1475.35108 Li, Ruomeng; Geng, Xianguo 12 2020 Decomposition of a \(2 + 1\)-dimensional Volterra type lattice and its quasi-periodic solutions. Zbl 1069.37061 Dai, H. H.; Geng, Xianguo 11 2003 A new integrable symplectic map of Neumann type. Zbl 0955.37030 Wu, Yongtang; Geng, Xianguo 11 1999 Explicit solutions of the \(2+1\)-dimensional modified Toda lattice through straightening out of the relativistic Toda flows. Zbl 1071.37052 Dai, H. H.; Geng, Xianguo 11 2003 Quasi-periodic solutions to the hierarchy of four-component Toda lattices. Zbl 1339.37061 Wei, Jiao; Geng, Xianguo; Zeng, Xin 11 2016 A new nonlinear wave equation: Darboux transformation and soliton solutions. Zbl 1465.35349 Geng, Xianguo; Shen, Jing; Xue, Bo 11 2018 Riemann theta function solutions of the Caudrey-Dodd-Gibbon-Sawada-Kotera hierarchy. Zbl 1415.37089 Geng, Xianguo; He, Guoliang; Wu, Lihua 11 2019 A multipotential generalization of the nonlinear diffusion equation. Zbl 1058.37523 Geng, Xianguo; Ma, Wen-Xiu 10 2000 Straightening out of the flows for the Hu hierarchy and its algebro-geometric solutions. Zbl 1256.35043 Zhai, Yunyun; Geng, Xianguo 10 2013 Dynamical behaviour of rogue wave solutions in a multi-component AB system. Zbl 1524.35505 Geng, Xianguo; Shen, Jing; Xue, Bo 10 2019 Darboux transformations for a matrix long-wave-short-wave equation and higher-order rational rogue-wave solutions. Zbl 1446.35163 Li, Ruomeng; Geng, Xianguo; Xue, Bo 10 2020 The Hamiltonian structure and new finite-dimensional integrable system associated with Harry-Dym type equations. Zbl 0961.35506 Geng, Xian Guo 9 1994 New completely integrable Neumann systems related to the perturbation KdV hierarchy. Zbl 0964.37043 Ma, Wen-Xiu; Geng, Xianguo 9 2000 Riemann-Hilbert method for the three-component Sasa-Satsuma equation and its \(N\)-soliton solutions. Zbl 1527.35396 Xu, Siqi; Li, Ruomeng; Geng, Xianguo 9 2020 Darboux and Bäcklund transformations of the bidirectional Sawada-Kotera equation. Zbl 1247.37079 Ma, Yunling; Geng, Xianguo 9 2012 Quasi-periodic solutions of nonlinear evolution equations associated with a \(3 \times 3\) matrix spectral problem. Zbl 1243.37058 Geng, Xianguo; Wu, Lihua; He, Guoliang 9 2011 Riemann-Hilbert approach and \(N\)-soliton solutions for a new two-component Sasa-Satsuma equation. Zbl 1516.37088 Wang, Jia; Su, Ting; Geng, Xianguo; Li, Ruomeng 9 2020 Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation. Zbl 1470.37093 Chen, Mingming; Geng, Xianguo; Wang, Kedong 9 2021 Novel Wronskian condition and new exact solutions to a \((3+1)\)-dimensional generalized KP equation. Zbl 1284.35384 Wu, Jian-Ping; Geng, Xian-Guo 9 2013 The coupled Sasa-Satsuma hierarchy: trigonal curve and finite genus solutions. Zbl 1376.37113 Zhai, Yunyun; Geng, Xianguo 9 2017 Quasi-periodic solutions for some \(2+1\)-dimensional discrete models. Zbl 1008.70011 Geng, Xianguo; Dai, H. H. 8 2003 Nonlinearization of the \(3\times 3\) matrix eigenvalue problem related to coupled nonlinear Schrödinger equations. Zbl 0924.35149 Geng, X. G.; Dai, H. H. 8 1999 Hirota bilinear approach to a new integrable differential-difference system. Zbl 0944.35101 Hu, Xing-Biao; Wu, Yong-Tang; Geng, Xian-Guo 8 1999 Two hierarchies of new nonlinear evolution equations associated with \(3 \times 3\) matrix spectral problems. Zbl 1142.37358 Geng, Xianguo; Du, Dianlou 8 2006 Darboux transformation and explicit solutions for the Satsuma-Hirota coupled equation. Zbl 1195.35260 Geng, Xianguo; He, Guoliang 8 2010 Long-time asymptotics for the modified complex short pulse equation. Zbl 1494.35032 Chen, Mingming; Geng, Xianguo; Wang, Kedong 8 2022 Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber. Zbl 1510.35318 Zhai, Yunyun; Ji, Ting; Geng, Xianguo 8 2021 A Hermitian symmetric space Fokas-Lenells equation: solitons, breathers, rogue waves. Zbl 1414.35194 Geng, Xianguo; Shen, Jing; Xue, Bo 8 2019 Lax pair and Darboux transformation solutions of the modified Boussinesq equation. Zbl 0692.35123 Geng, Xianguo 8 1988 Quasi-periodic solutions of the Belov-Chaltikian lattice hierarchy. Zbl 1408.37123 Geng, Xianguo; Zeng, Xin 8 2017 Decomposition and straightening out of the coupled mixed nonlinear Schrödinger flows. Zbl 1045.37038 Geng, Xianguo; Dai, H. H. 7 2004 New finite-dimensional completely integrable systems associated with the sine-Gordon equation. Zbl 0942.37047 Dai, Hui-Hui; Geng, Xianguo 7 1999 The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws. Zbl 1329.35294 Wu, Lihua; He, Guoliang; Geng, Xianguo 7 2013 Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications. Zbl 1337.37055 Li, Zhu; Geng, Xianguo; Guan, Liang 7 2016 A coupled nonlinear Schrödinger type equation and its explicit solutions. Zbl 1198.37093 Ma, Yunling; Geng, Xianguo 7 2009 Decomposition to the modified Jaulent-Miodek hierarchy. Zbl 1142.37356 Chen, Jinbing; Geng, Xianguo 7 2006 Lax matrix and a generalized coupled KdV hierarchy. Zbl 1098.35562 Li, Xuemei; Geng, Xianguo 7 2003 Application of tetragonal curves to coupled Boussinesq equations. Zbl 1546.37115 Geng, Xianguo; Jia, Minxin; Xue, Bo; Zhai, Yunyun 3 2024 Multiple higher-order pole solutions in spinor Bose-Einstein condensates. Zbl 1542.37062 Liu, Huan; Shen, Jing; Geng, Xianguo 1 2024 Localized waves on the periodic background for the Hermitian symmetric space derivative nonlinear Schrödinger equation. Zbl 1546.35212 Shen, Jing; Liu, Huan; Li, Fang; Geng, Xianguo 1 2024 Quasi-periodic solutions to the nonlocal nonlinear Schrödinger equations. Zbl 1542.35026 Guan, Liang; Geng, Xianguo; Geng, Xue 1 2024 Soliton resolution for the complex short-pulse positive flow with weighted Sobolev initial data in the space-time soliton regions. Zbl 1534.35348 Geng, Xianguo; Wang, Jia; Wang, Kedong; Li, Ruomeng 1 2024 Riemann-Hilbert method to the Ablowitz-Ladik equation: Higher-order cases. Zbl 07974197 Liu, Huan; Shen, Jing; Geng, Xianguo 1 2024 Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data. Zbl 1512.35423 Liu, Wenhao; Geng, Xianguo; Wang, Kedong; Chen, Mingming 6 2023 Rogue-wave and breather solutions of the Fokas-Lenells equation on theta-function backgrounds. Zbl 1530.35285 Li, Ruomeng; Geng, Jingru; Geng, Xianguo 5 2023 Algebro-geometric quasi-periodic solutions to the Satsuma-Hirota hierarchy. Zbl 1519.37081 Geng, Xianguo; Zeng, Xin 4 2023 Inverse scattering transformation for the \(N\)-component focusing nonlinear Schrödinger equation with nonzero boundary conditions. Zbl 1514.37092 Liu, Huan; Shen, Jing; Geng, Xianguo 3 2023 Rogue waves and breathers of the derivative Yajima-Oikawa long wave-short wave equations on theta-function backgrounds. Zbl 1530.35255 Li, Ruomeng; Geng, Xianguo 3 2023 Breather solutions to the AB system with non-zero background. Zbl 1518.35211 Zhai, Yunyun; Wei, Lifei; Geng, Xianguo; Tao, Lei 1 2023 New integrable peakon equation and its dynamic system. Zbl 1522.35452 Xue, Bo; Du, Huiling; Geng, Xianguo 1 2023 Periodic-background solutions of Kadomtsev-Petviashvili I equation. Zbl 1509.35267 Li, Ruomeng; Geng, Xianguo 1 2023 A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. Zbl 1490.35093 Geng, Xianguo; Li, Ruomeng; Xue, Bo 16 2022 Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations. Zbl 1529.37042 Jia, Minxin; Geng, Xianguo; Wei, Jiao 13 2022 Long-time asymptotics for the modified complex short pulse equation. Zbl 1494.35032 Chen, Mingming; Geng, Xianguo; Wang, Kedong 8 2022 Riemann-Hilbert approach and long-time asymptotics of the positive flow short-pulse equation. Zbl 1501.35277 Wang, Kedong; Geng, Xianguo; Chen, Mingming 6 2022 Riemann-Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation. Zbl 1489.35176 Wang, Kedong; Geng, Xianguo; Chen, Mingming; Xue, Bo 4 2022 Multi-bright-dark soliton solutions to the \(AB\) system in nonlinear optics. Zbl 1514.35387 Zhai, Yunyun; Wei, Lifei; Geng, Xianguo; Wei, Jiao 4 2022 The Hermitian symmetric space Fokas-Lenells equation: spectral analysis and long-time asymptotics. Zbl 1506.35015 Geng, Xianguo; Wang, Kedong; Chen, Mingming 3 2022 Three-sheeted Riemann surface and solutions of the Itoh-Narita-Bogoyavlensky lattice hierarchy. Zbl 1498.37112 Geng, Xianguo; Wei, Jiao 3 2022 Finite genus solutions of the generalized Merola-Ragnisco-Tu lattice hierarchy. Zbl 1509.37093 Wei, Jiao; Geng, Xianguo; Wang, Xin; Zhai, Yunyun 3 2022 Spectral analysis and long-time asymptotics for the coherently-coupled nonlinear Schrödinger system. Zbl 1503.35206 Chen, Ming Ming; Geng, Xian Guo; Wang, Ke Dong 1 2022 Spectral analysis and long-time asymptotics of a coupled nonlinear Schrödinger system. Zbl 1498.35517 Wang, Kedong; Geng, Xianguo; Chen, Mingming; Li, Ruomeng 1 2022 Long-time asymptotics for the spin-1 Gross-Pitaevskii equation. Zbl 1466.35326 Geng, Xianguo; Wang, Kedong; Chen, Mingming 61 2021 Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation. Zbl 1470.37093 Chen, Mingming; Geng, Xianguo; Wang, Kedong 9 2021 Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber. Zbl 1510.35318 Zhai, Yunyun; Ji, Ting; Geng, Xianguo 8 2021 Darboux transformation of a two-component generalized Sasa-Satsuma equation and explicit solutions. Zbl 1479.35718 Geng, Xianguo; Li, Yihao; Wei, Jiao; Zhai, Yunyun 6 2021 Application of the nonlinear steepest descent method to the coupled Sasa-Satsuma equation. Zbl 1467.35281 Geng, Xianguo; Chen, Mingming; Wang, Kedong 5 2021 An integrable generalized Korteweg-de Vries equation with pseudo-peakons. Zbl 1462.35342 Wang, Kedong; Chen, Mingming; Li, Ruomeng; Geng, Xianguo 2 2021 Coupled discrete Sawada-Kotera equations and their explicit quasi-periodic solutions. Zbl 1479.35722 Jia, Minxin; Geng, Xianguo; Wei, Jiao; Zhai, Yunyun; Liu, Huan 2 2021 Rogue periodic waves of the sine-Gordon equation. Zbl 1440.35030 Li, Ruomeng; Geng, Xianguo 75 2020 A vector general nonlinear Schrödinger equation with \((m+n)\) components. Zbl 1437.35627 Geng, Xianguo; Li, Ruomeng; Xue, Bo 73 2020 On a vector long wave-short wave-type model. Zbl 1454.35314 Li, Ruomeng; Geng, Xianguo 64 2020 Rational solutions for a (3+1)-dimensional nonlinear evolution equation. Zbl 1450.35242 Wang, Xin; Wei, Jiao; Geng, Xianguo 19 2020 A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions. Zbl 1475.35108 Li, Ruomeng; Geng, Xianguo 12 2020 Darboux transformations for a matrix long-wave-short-wave equation and higher-order rational rogue-wave solutions. Zbl 1446.35163 Li, Ruomeng; Geng, Xianguo; Xue, Bo 10 2020 Riemann-Hilbert method for the three-component Sasa-Satsuma equation and its \(N\)-soliton solutions. Zbl 1527.35396 Xu, Siqi; Li, Ruomeng; Geng, Xianguo 9 2020 Riemann-Hilbert approach and \(N\)-soliton solutions for a new two-component Sasa-Satsuma equation. Zbl 1516.37088 Wang, Jia; Su, Ting; Geng, Xianguo; Li, Ruomeng 9 2020 A generalized complex mKdV equation: Darboux transformations and explicit solutions. Zbl 1524.35542 Li, Yihao; Li, Ruomeng; Xue, Bo; Geng, Xianguo 6 2020 Mean escape time for randomly switching narrow gates in a steady flow. Zbl 1446.76153 Wang, Hui; Duan, Jinqiao; Geng, Xianguo; Chao, Ying 6 2020 Long-time asymptotics for the generalized Sasa-Satsuma equation. Zbl 1484.35340 Wang, Kedong; Geng, Xianguo; Chen, Mingming; Li, Ruomeng 2 2020 Riemann theta function solutions to the coupled long wave-short wave resonance equations. Zbl 1482.35199 Zhai, Yunyun; Geng, Xianguo; Xue, Bo 2 2020 A generalization of the Landau-Lifschitz equation: breathers and rogue waves. Zbl 1436.37086 Li, Ruomeng; Geng, Xianguo; Xue, Bo 1 2020 The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices. Zbl 1403.37078 Wei, Jiao; Geng, Xianguo; Zeng, Xin 59 2019 Long-time asymptotics of the coupled modified Korteweg-de Vries equation. Zbl 1420.35313 Geng, Xianguo; Chen, Mingming; Wang, Kedong 19 2019 The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy. Zbl 1421.35335 Geng, Xianguo; Zeng, Xin; Wei, Jiao 12 2019 Riemann theta function solutions of the Caudrey-Dodd-Gibbon-Sawada-Kotera hierarchy. Zbl 1415.37089 Geng, Xianguo; He, Guoliang; Wu, Lihua 11 2019 Dynamical behaviour of rogue wave solutions in a multi-component AB system. Zbl 1524.35505 Geng, Xianguo; Shen, Jing; Xue, Bo 10 2019 A Hermitian symmetric space Fokas-Lenells equation: solitons, breathers, rogue waves. Zbl 1414.35194 Geng, Xianguo; Shen, Jing; Xue, Bo 8 2019 Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation. Zbl 1473.35515 Shen, Jing; Geng, Xianguo; Xue, Bo 5 2019 Algebro-geometric integration of the modified Belov-Chaltikian lattice hierarchy. Zbl 1429.37041 Geng, Xianguo; Wei, Jiao; Zeng, Xin 4 2019 Exact solutions of a negative matrix AKNS system with a Hermitian symmetric space. Zbl 1410.35181 Shen, Jing; Geng, Xianguo; Xue, Bo 4 2019 A hierarchy of long wave-short wave type equations: quasi-periodic behavior of solutions and their representation. Zbl 1417.37252 Geng, Xianguo; Zhai, Yunyun; Xue, Bo; Wei, Jiao 3 2019 Finite genus solutions to the coupled Burgers hierarchy. Zbl 1407.35171 Geng, Xianguo; Liu, Wei; Xue, Bo 1 2019 The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325 Geng, Xianguo; Liu, Huan 91 2018 The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation. Zbl 1414.35137 Liu, Huan; Geng, Xianguo; Xue, Bo 51 2018 Periodic and rational solutions of the reduced Maxwell-Bloch equations. Zbl 1510.78011 Wei, Jiao; Wang, Xin; Geng, Xianguo 37 2018 Trace formula and new form of \(N\)-soliton to the Gerdjikov-Ivanov equation. Zbl 1402.35068 Nie, Hui; Zhu, Junyi; Geng, Xianguo 18 2018 A new nonlinear wave equation: Darboux transformation and soliton solutions. Zbl 1465.35349 Geng, Xianguo; Shen, Jing; Xue, Bo 11 2018 The vector derivative nonlinear Schrödinger equation on the half-line. Zbl 1406.35364 Liu, Huan; Geng, Xianguo 7 2018 Riemann-Hilbert approach to TD equation with nonzero boundary condition. Zbl 1402.35195 Zhu, Junyi; Wang, Linlin; Geng, Xianguo 3 2018 A super Sasa-Satsuma hierarchy and bi-Hamiltonian structures. Zbl 1524.37063 Wei, Jiao; Geng, Xianguo 2 2018 \(N\) solutions for a derivative nonlinear Schrödinger-type equation via Riemann-Hilbert approach. Zbl 1391.35305 Geng, Xianguo; Nie, Hui 2 2018 Finite-band solutions for the hierarchy of coupled Toda lattices. Zbl 1385.37075 Zeng, Xin; Geng, Xianguo 1 2018 Riemann surface and Riemann theta function solutions of the discrete integrable hierarchy. Zbl 1442.37081 Geng, Xianguo; Zeng, Xin; Wei, Jiao 1 2018 A hierarchy of generalized Jaulent-Miodek equations and their explicit solutions. Zbl 1382.35249 Geng, Xianguo; Guan, Liang; Xue, Bo 1 2018 Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation. Zbl 1510.35281 Wu, Jianping; Geng, Xianguo 46 2017 Inverse scattering transform of the coupled Sasa-Satsuma equation by Riemann-Hilbert approach. Zbl 1365.35167 Wu, Jian-Ping; Geng, Xian-Guo 17 2017 The coupled Sasa-Satsuma hierarchy: trigonal curve and finite genus solutions. Zbl 1376.37113 Zhai, Yunyun; Geng, Xianguo 9 2017 Quasi-periodic solutions of the Belov-Chaltikian lattice hierarchy. Zbl 1408.37123 Geng, Xianguo; Zeng, Xin 8 2017 Application of the trigonal curve to the Blaszak-Marciniak lattice hierarchy. Zbl 1382.37076 Geng, Xianguo; Zeng, Xin 3 2017 Algebro-geometric constructions of quasi-periodic flows of the Newell hierarchy and applications. Zbl 1408.37122 Geng, Xianguo; Wang, Hui 3 2017 The trigonal curve and the integration of the Hirota-Satsuma hierarchy. Zbl 1387.35518 He, G. L.; Geng, X. G.; Wu, L. H. 2 2017 \(N\)-soliton solution and soliton resonances for the \((2+1)\)-dimensional inhomogeneous Gardner equation. Zbl 1375.35465 Wang, Xin; Geng, Xian-Guo 2 2017 Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation. Zbl 1467.35282 Geng, Xianguo; Wu, Jianping 91 2016 Initial-boundary problems for the vector modified Korteweg-de Vries equation via Fokas unified transform method. Zbl 1342.35306 Liu, Huan; Geng, Xianguo 19 2016 Algebro-geometric solutions to the Manakov hierarchy. Zbl 1338.35384 Wu, Lihua; Geng, Xianguo; He, Guoliang 12 2016 Quasi-periodic solutions to the hierarchy of four-component Toda lattices. Zbl 1339.37061 Wei, Jiao; Geng, Xianguo; Zeng, Xin 11 2016 Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications. Zbl 1337.37055 Li, Zhu; Geng, Xianguo; Guan, Liang 7 2016 A vector generalization of Volterra type differential-difference equations. Zbl 1351.39008 Wei, Jiao; Geng, Xianguo 5 2016 Integrable couplings of fractional L-hierarchy and its Hamiltonian structures. Zbl 1347.65188 Wu, Jingzhu; Xing, Xiuzhi; Geng, Xianguo 1 2016 Initial-boundary value problems for the coupled nonlinear Schrödinger equation on the half-line. Zbl 1338.35408 Geng, Xianguo; Liu, Huan; Zhu, Junyi 44 2015 Explicit quasi-periodic solutions of the Kaup-Newell hierarchy. Zbl 1317.37088 Geng, Xianguo; Li, Zhu; Xue, Bo; Guan, Liang 13 2015 Darboux transformation of the Drinfeld-Sokolov-Satsuma-Hirota system and exact solutions. Zbl 1360.37168 Geng, Xianguo; Li, Ruomeng 12 2015 A new integrable equation with peakons and cuspons and its bi-Hamiltonian structure. Zbl 1326.35066 Geng, Xianguo; Li, Ruomeng; Xue, Bo 6 2015 A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures. Zbl 1410.35189 Wei, Jiao; Geng, Xianguo 6 2015 Generalized bilinear differential operators application in a \((3+1)\)-dimensional generalized shallow water equation. Zbl 1342.35270 Wu, Jingzhu; Xing, Xiuzhi; Geng, Xianguo 5 2015 Algebro-geometric solution to the Bullough-Dodd-Zhiber-Shabat equation. Zbl 1315.35184 Wu, Lihua; Geng, Xianguo; Zhang, Jinshun 5 2015 Algebro-geometric solutions to a new hierarchy of soliton equations. Zbl 1339.37071 Wang, Hui; Geng, Xianguo 1 2015 A note on the quasi-periodic solutions of the modified Boussinesq hierarchy. Zbl 1321.35191 Wu, Lihua; He, Guoliang; Geng, Xianguo 1 2015 Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy. Zbl 1304.37046 Geng, Xianguo; Zhai, Yunyun; Dai, H. H. 93 2014 The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates. Zbl 1302.37044 Zhu, Junyi; Geng, Xianguo 27 2014 Algebro-geometric quasi-periodic solutions to the three-wave resonant interaction hierarchy. Zbl 1319.35211 He, Guoliang; Geng, Xianguo; Wu, Lihua 18 2014 Algebro-geometric solutions of the discrete Ragnisco-Tu hierarchy. Zbl 1417.37247 Zeng, Xin; Geng, Xianguo 5 2014 Nonlinear super integrable couplings of super classical-Boussinesq hierarchy. Zbl 1406.37054 Xing, Xiuzhi; Wu, Jingzhu; Geng, Xianguo 3 2014 Quasiperiodic solutions of the discrete Chen-Lee-Liu hierarchy. Zbl 1310.37038 Zeng, Xin; Geng, Xianguo 3 2014 A super hierarchy of coupled derivative nonlinear Schrödinger equations and conservation laws. Zbl 1457.37086 He, Guoliang; Zhai, Yunyun; Geng, Xianguo 1 2014 Explicit quasi-periodic solutions of the Vakhnenko equation. Zbl 1304.35045 Zhai, Yunyun; Geng, Xianguo; He, Guoliang 1 2014 ...and 104 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,307 Authors 169 Geng, Xianguo 75 Ma, Wen-Xiu 46 Fan, Engui 45 Tian, Shoufu 41 Xu, Xixiang 36 Xue, Bo 32 Zhang, Yufeng 30 Zhou, Ruguang 28 Xia, Tie-Cheng 26 Qiao, Zhijun (George) 25 Wei, Jiao 25 Wen, Xiaoyong 24 Zhu, Junyi 23 Chen, Jinbing 23 Li, Ruomeng 22 He, Guoliang 22 Zhang, Hongqing 20 Chen, Yong 20 Du, Dianlou 20 He, Jingsong 20 Wang, Dengshan 20 Zhaqilao, Z. 19 Yang, Hongxiang 19 Zhai, Yunyun 19 Zhang, Yi 19 Zhao, Qiulan 18 Dong, Huanhe 17 Hu, Beibei 17 Li, Xinyue 17 Wu, Lihua 17 Yang, Jinjie 16 Chen, Dengyuan 16 Hu, Xingbiao 16 Tian, Bo 16 Wang, Xin 15 Chen, Mingming 15 Dai, Huihui 15 Guo, Boling 15 Li, Nianhua 15 Wang, Kedong 15 Xia, Baoqiang 14 Liu, Qingping 14 Manafian Heris, Jalil 14 Wazwaz, Abdul-Majid Abdul-Rahman 14 Yan, Zhenya 13 Fan, Fangcheng 13 Wu, Jianping 13 Zhang, Haiqiang 12 Liu, Nan 12 Lü, Xing 12 Wang, Lei 12 Zeng, Xin 11 Cao, Cewen 11 Li, Biao 11 Liu, Huan 11 Lou, Senyue 11 Xu, Tao 11 Yu, Fajun 11 Yu, Jing 11 Zhang, Ling 11 Zhang, Tiantian 10 Li, Zhu 10 Ling, Liming 10 Peng, Weiqi 10 Qu, Changzheng 10 Shen, Jing 10 Su, Ting 10 Sun, Yepeng 10 Wang, Xiubin 10 Wu, Yongtang 10 Yang, Xiao 10 Zhang, Ning 9 Cheng, Yi 9 Gao, Yitian 9 Khalique, Chaudry Masood 9 Pelinovsky, Dmitry Efimovich 9 Tam, Hon-Wah 9 Zhang, Dajun 9 Zhang, Jianbing 8 Chang, Xiangke 8 Ding, Haiyong 8 Hon, Yiu-Chung 8 Ilhan, Onur Alp 8 Li, Xuemei 8 Li, Zhiqiang 8 Lin, Ji 8 Yu, Guofu 8 Zhang, Yingnan 8 Zhao, Haiqiong 8 Zhu, Zuonong 7 Biswas, Anjan 7 Guo, Rui 7 Han, Bo 7 Han, Jingwei 7 Li, Fang 7 Li, Jian 7 Qin, Zhenyun 7 Shen, Shoufeng 7 Sun, Jianqing 7 Tian, Kai ...and 1,207 more Authors all top 5 Cited in 164 Serials 93 Journal of Mathematical Physics 81 Physics Letters. 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Series B 2 Analysis and Applications (Singapore) 2 Complex Analysis and Operator Theory 2 International Journal of Differential Equations 2 Advances in Applied Mathematics and Mechanics ...and 64 more Serials all top 5 Cited in 44 Fields 1,185 Partial differential equations (35-XX) 927 Dynamical systems and ergodic theory (37-XX) 68 Algebraic geometry (14-XX) 68 Fluid mechanics (76-XX) 59 Difference and functional equations (39-XX) 58 Numerical analysis (65-XX) 51 Quantum theory (81-XX) 50 Ordinary differential equations (34-XX) 49 Optics, electromagnetic theory (78-XX) 33 Computer science (68-XX) 30 Approximations and expansions (41-XX) 27 Mechanics of particles and systems (70-XX) 25 Statistical mechanics, structure of matter (82-XX) 21 Nonassociative rings and algebras (17-XX) 18 Special functions (33-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 15 Integral equations (45-XX) 13 Mechanics of deformable solids (74-XX) 11 Operator theory (47-XX) 9 Geophysics (86-XX) 7 Topological groups, Lie groups (22-XX) 7 Real functions (26-XX) 7 Functions of a complex variable (30-XX) 7 Systems theory; control (93-XX) 6 Differential geometry (53-XX) 5 Number theory (11-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Probability theory and stochastic processes (60-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year