## Geng, Xianguo

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 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: 201 Publications since 1988 Reviewing Activity: 32 Reviews Co-Authors: 49 Co-Authors with 186 Joint Publications 1,712 Co-Co-Authors
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### Co-Authors

 12 single-authored 33 Xue, Bo 19 Dai, Huihui 18 He, Guoliang 18 Wu, Lihua 15 Wei, Jiao 14 Cao, Cewen 14 Li, Ruomeng 12 Wu, Yongtang 12 Zeng, Xin 12 Zhai, Yunyun 10 Zhu, Junyi 9 Chen, Mingming 9 Wang, Kedong 7 Liu, Huan 6 Shen, Jing 5 Su, Ting 5 Wu, Jianping 4 Chen, Jinbing 4 Gong, Dong 4 Ma, Yunling 4 Wang, Hui 4 Wu, Jingzhu 4 Xing, Xiuzhi 3 Guan, Liang 3 Li, Zhu 3 Ma, Wen-Xiu 2 Hu, Xingbiao 2 Jia, Minxin 2 Li, Xuemei 2 Li, Yihao 2 Nie, Hui 1 Cao, Cen 1 Cao, Clewen 1 Chao, Ying 1 Du, Dianlou 1 Du, Huiling 1 Duan, Jinqiao 1 Fan, Engui 1 Ji, Ting 1 Lv, Yanyan 1 Mu, Weihua 1 Wang, Hongye 1 Wang, Jia 1 Wang, Linlin 1 Xu, Siqi 1 Xu, Taixi 1 Ye, Xiaofeng 1 Zhang, Jinshun 1 Zhu, Siming
all top 5

### Serials

 19 Journal of Mathematical Physics 11 Chaos, Solitons and Fractals 10 Physics Letters. A 8 Applied Mathematics Letters 8 Journal of the Physical Society of Japan 7 Journal of Mathematical Analysis and Applications 7 Applied Mathematics and Computation 7 Journal of Physics A: Mathematical and General 7 Journal of Nonlinear Mathematical Physics 7 Communications in Theoretical Physics 6 Mathematical Methods in the Applied Sciences 6 Communications in Nonlinear Science and Numerical Simulation 5 Wave Motion 5 Journal of Geometry and Physics 5 Analysis and Mathematical Physics 4 Studies in Applied Mathematics 3 Theoretical and Mathematical Physics 3 Acta Mathematicae Applicatae Sinica 3 Chinese Annals of Mathematics. Series A 3 Physica D 3 Journal of Nonlinear Science 2 Modern Physics Letters B 2 IMA Journal of Applied Mathematics 2 Nonlinearity 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 Mathematical Physics, Analysis and Geometry 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 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Sinica 1 Journal of Differential Equations 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 Nonlinear Dynamics 1 Journal of Zhengzhou University. Natural Science Edition 1 Chinese Quarterly Journal of Mathematics 1 Annales Henri Poincaré 1 Journal of Applied Mathematics 1 Acta Physica Polonica B 1 Journal of Xuzhou Normal University. Natural Science Edition 1 Analysis and Applications (Singapore) 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
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### Fields

 153 Dynamical systems and ergodic theory (37-XX) 150 Partial differential equations (35-XX) 31 Algebraic geometry (14-XX) 8 Ordinary differential equations (34-XX) 6 Numerical analysis (65-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

160 Publications have been cited 1,782 times in 863 Documents Cited by Year
Relation between the Kadomtsev-Petviashvili equation and the confocal involutive system. Zbl 0947.35138
Cao, Cewen; Wu, Yongtang; Geng, Xianguo
1999
An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331
Geng, Xianguo; Xue, Bo
2009
A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations. Zbl 0935.37029
Wu, Yongtang; Geng, Xianguo; Hu, Xingbiao; Zhu, Siming
1999
Decomposition of the $$(2+1)$$-dimensional Gardner equation and its quasi-periodic solutions. Zbl 1160.37405
Geng, Xianguo; Cao, Cewen
2001
Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy. Zbl 1304.37046
Geng, Xianguo; Zhai, Yunyun; Dai, H. H.
2014
C. Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy. Zbl 0719.35082
Cao, Cewen; Geng, Xianguo
1990
Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations. Zbl 1039.37061
Geng, Xianguo
2003
$$N$$-soliton solution and its Wronskian form of a $$(3+1)$$-dimensional nonlinear evolution equation. Zbl 1209.35116
Geng, Xianguo; Ma, Yunling
2007
Riemann-Hilbert approach and $$N$$-soliton solutions for a generalized Sasa-Satsuma equation. Zbl 1467.35282
Geng, Xianguo; Wu, Jianping
2016
A new hierarchy of integrable differential-difference equations and Darboux transformation. Zbl 0931.35190
Wu, Yongtang; Geng, Xianguo
1998
The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325
Geng, Xianguo; Liu, Huan
2018
Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions. Zbl 1223.37093
Geng, Xianguo; Wu, Lihua; He, Guoliang
2011
Darboux transformation and soliton solutions for generalized nonlinear Schrödinger equations. Zbl 0944.35093
Geng, Xianguo; Tam, Hon-Wah
1999
A new integrable symplectic map associated with lattice soliton equations. Zbl 0864.58028
Wu, Yongtang; Geng, Xianguo
1996
A three-component generalization of Camassa-Holm equation with $$N$$-peakon solutions. Zbl 1207.35254
Geng, Xianguo; Xue, Bo
2011
From the special $$2+1$$ Toda lattice to the Kadomtsev-Petviashvili equation. Zbl 0977.37036
Cao, Cewen; Geng, Xianguo; Wu, Yongtang
1999
Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation. Zbl 0941.35090
Geng, Xianguo; Wu, Yongtang; Cao, Cewen
1999
Algebro-geometric solution of the $$2+1$$ dimensional Burgers equation with a discrete variable. Zbl 1052.37050
Cao, Cewen; Geng, Xianguo; Wang, Hongye
2002
Initial-boundary value problems for the coupled nonlinear Schrödinger equation on the half-line. Zbl 1338.35408
Geng, Xianguo; Liu, Huan; Zhu, Junyi
2015
Rogue periodic waves of the sine-Gordon equation. Zbl 1440.35030
Li, Ruomeng; Geng, Xianguo
2020
A vector general nonlinear Schrödinger equation with $$(m+n)$$ components. Zbl 1437.35627
Geng, Xianguo; Li, Ruomeng; Xue, Bo
2020
The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices. Zbl 1403.37078
Wei, Jiao; Geng, Xianguo; Zeng, Xin
2019
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.
2001
A nonconfocal generator of involutive systems and three associated soliton hierarchies. Zbl 0737.35083
Cao, Cewen; Geng, Xianguo
1991
Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy. Zbl 1309.37070
Geng, Xianguo; Wu, Lihua; He, Guoliang
2013
On a vector long wave-short wave-type model. Zbl 1454.35314
Li, Ruomeng; Geng, Xianguo
2020
Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation. Zbl 1263.35196
Geng, Xianguo; Lv, Yanyan
2012
Finite-band solutions of the classical Boussinesq-Burgers equations. Zbl 0944.35085
Geng, Xianguo; Wu, Yongtang
1999
Bäcklund transformations of soliton systems from symmetry constraints. Zbl 1010.37048
Ma, Wen-Xiu; Geng, Xianguo
2001
The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation. Zbl 1414.35137
Liu, Huan; Geng, Xianguo; Xue, Bo
2018
Algebro-geometric constructions of the discrete Ablowitz-Ladik flows and applications. Zbl 1062.37092
Geng, Xianguo; Dai, H. H.; Cao, Cewen
2003
Quasi-periodic solutions of mixed AKNS equations. Zbl 1200.35016
Geng, Xianguo; Xue, Bo
2010
Nonlinearization of the Lax pairs for discrete Ablowitz-Ladik hierarchy. Zbl 1111.39011
Geng, Xianguo; Dai, H. H.
2007
The AB equations and the $$\bar\partial$$-dressing method in semi-characteristic coordinates. Zbl 1302.37044
Zhu, Junyi; Geng, Xianguo
2014
Finite-dimensional discrete systems and integrable systems through nonlinearization of the discrete eigenvalue problem. Zbl 0784.58048
Geng, Xianguo
1993
Initial-boundary problems for the vector modified Korteweg-de Vries equation via Fokas unified transform method. Zbl 1342.35306
Liu, Huan; Geng, Xianguo
2016
Darboux transformation of the discrete Ablowitz-Ladik eigenvalue problem. Zbl 0693.65091
Geng, Xianguo
1989
Algebro-geometric quasi-periodic solutions to the three-wave resonant interaction hierarchy. Zbl 1319.35211
He, Guoliang; Geng, Xianguo; Wu, Lihua
2014
Long-time asymptotics for the spin-1 Gross-Pitaevskii equation. Zbl 1466.35326
Geng, Xianguo; Wang, Kedong; Chen, Mingming
2021
A finite-dimensional integrable system associated with the three-wave interaction equations. Zbl 0955.37034
Wu, Yongtang; Geng, Xianguo
1999
Soliton solutions and quasiperiodic solutions of modified Korteweg-de Vries type equations. Zbl 1311.35255
Geng, Xianguo; Xue, Bo
2010
A new super-extension of the KdV hierarchy. Zbl 1190.35197
Geng, Xianguo; Wu, Lihua
2010
Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation. Zbl 07261239
Wu, Jianping; Geng, Xianguo
2017
A super Camassa-Holm equation with $$N$$-peakon solutions. Zbl 1282.35284
Geng, Xianguo; Xue, Bo; Wu, Lihua
2013
A hierarchy of coupled evolution equations with self-consistent sources and the dressing method. Zbl 1275.37034
Zhu, Junyi; Geng, Xianguo
2013
Trace formula and new form of $$N$$-soliton to the Gerdjikov-Ivanov equation. Zbl 1402.35068
Nie, Hui; Zhu, Junyi; Geng, Xianguo
2018
Grammian determinant solution and Pfaffianization for a $$(3+1)$$-dimensional soliton equation. Zbl 1183.35237
Wu, Jian-Ping; Geng, Xian-Guo
2009
Quasi-periodic solutions of the $$2+1$$ dimensional modified Korteweg-de Vries equation. Zbl 0937.35155
Geng, Xianguo; Cao, Cewen
1999
A multipotential generalization of the nonlinear diffusion equation. Zbl 1058.37523
Geng, Xianguo; Ma, Wen-Xiu
2000
Straightening out of the flows for the Hu hierarchy and its algebro-geometric solutions. Zbl 1256.35043
Zhai, Yunyun; Geng, Xianguo
2013
A new integrable symplectic map of Neumann type. Zbl 0955.37030
Wu, Yongtang; Geng, Xianguo
1999
New completely integrable Neumann systems related to the perturbation KdV hierarchy. Zbl 0964.37043
Ma, Wen-Xiu; Geng, Xianguo
2000
Algebro-geometric solutions of $$(2+1)$$-dimensional coupled modified Kadomtsev-Petviashvili equations. Zbl 0991.37045
Geng, Xianguo; Dai, H. H.
2000
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
2003
Quasi-periodic solutions for some $$2+1$$-dimensional discrete models. Zbl 1008.70011
Geng, Xianguo; Dai, H. H.
2003
Classical integrable systems generated through nonlinearization of eigenvalue problems. Zbl 0728.70012
Cao, Cewen; Geng, Xianguo
1990
Rational solutions for a (3+1)-dimensional nonlinear evolution equation. Zbl 1450.35242
Wang, Xin; Wei, Jiao; Geng, Xianguo
2020
The Hamiltonian structure and new finite-dimensional integrable system associated with Harry-Dym type equations. Zbl 0961.35506
Geng, Xian Guo
1994
Hirota bilinear approach to a new integrable differential-difference system. Zbl 0944.35101
Hu, Xing-Biao; Wu, Yong-Tang; Geng, Xian-Guo
1999
Explicit solutions of the $$2+1$$-dimensional breaking soliton equation. Zbl 1062.35103
Geng, Xianguo; Cao, Cewen
2004
A super extension of Kaup-Newell hierarchy. Zbl 1222.37052
Geng, Xian-Guo; Wu, Li-Hua
2010
Periodic and rational solutions of the reduced Maxwell-Bloch equations. Zbl 07263324
Wei, Jiao; Wang, Xin; Geng, Xianguo
2018
Riemann theta function solutions of the Caudrey-Dodd-Gibbon-Sawada-Kotera hierarchy. Zbl 1415.37089
Geng, Xianguo; He, Guoliang; Wu, Lihua
2019
Long-time asymptotics of the coupled modified Korteweg-de Vries equation. Zbl 1420.35313
Geng, Xianguo; Chen, Mingming; Wang, Kedong
2019
Two hierarchies of new nonlinear evolution equations associated with $$3 \times 3$$ matrix spectral problems. Zbl 1142.37358
Geng, Xianguo; Du, Dianlou
2006
Lax matrix and a generalized coupled KdV hierarchy. Zbl 1098.35562
Li, Xuemei; Geng, Xianguo
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.
1999
Algebro-geometric solutions to the Manakov hierarchy. Zbl 1338.35384
Wu, Lihua; Geng, Xianguo; He, Guoliang
2016
Darboux transformation of the Drinfeld-Sokolov-Satsuma-Hirota system and exact solutions. Zbl 1360.37168
Geng, Xianguo; Li, Ruomeng
2015
Inverse scattering transform of the coupled Sasa-Satsuma equation by Riemann-Hilbert approach. Zbl 1365.35167
Wu, Jian-Ping; Geng, Xian-Guo
2017
Novel Wronskian condition and new exact solutions to a $$(3+1)$$-dimensional generalized KP equation. Zbl 1284.35384
Wu, Jian-Ping; Geng, Xian-Guo
2013
Explicit quasi-periodic solutions of the Kaup-Newell hierarchy. Zbl 1317.37088
Geng, Xianguo; Li, Zhu; Xue, Bo; Guan, Liang
2015
Darboux and Bäcklund transformations of the bidirectional Sawada-Kotera equation. Zbl 1247.37079
Ma, Yunling; Geng, Xianguo
2012
A new nonlinear wave equation: Darboux transformation and soliton solutions. Zbl 1465.35349
Geng, Xianguo; Shen, Jing; Xue, Bo
2018
Decomposition to the modified Jaulent-Miodek hierarchy. Zbl 1142.37356
Chen, Jinbing; Geng, Xianguo
2006
New finite-dimensional completely integrable systems associated with the sine-Gordon equation. Zbl 0942.37047
Dai, Hui-Hui; Geng, Xianguo
1999
Decomposition of a $$2 + 1$$-dimensional Volterra type lattice and its quasi-periodic solutions. Zbl 1069.37061
Dai, H. H.; Geng, Xianguo
2003
Explicit solutions of some (2+1)-dimensional differential-difference equations. Zbl 1028.35155
Wang, Junmin; Geng, Xianguo
2003
Algebro-geometric constructions of the $$(2+1)$$-dimensional differential-difference equation. Zbl 1209.37085
Zhu, Junyi; Geng, Xianguo
2007
Darboux transformation and explicit solutions for the Satsuma-Hirota coupled equation. Zbl 1195.35260
Geng, Xianguo; He, Guoliang
2010
Quasi-periodic solutions to the hierarchy of four-component Toda lattices. Zbl 1339.37061
Wei, Jiao; Geng, Xianguo; Zeng, Xin
2016
The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws. Zbl 1329.35294
Wu, Lihua; He, Guoliang; Geng, Xianguo
2013
The coupled Sasa-Satsuma hierarchy: trigonal curve and finite genus solutions. Zbl 1376.37113
Zhai, Yunyun; Geng, Xianguo
2017
Quasi-periodic solutions of the Belov-Chaltikian lattice hierarchy. Zbl 1408.37123
Geng, Xianguo; Zeng, Xin
2017
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
2011
Algebro-geometric solutions of the TD hierarchy. Zbl 1303.37023
Geng, Xianguo; Zeng, Xin; Xue, Bo
2013
Dynamical behaviour of rogue wave solutions in a multi-component AB system. Zbl 07222033
Geng, Xianguo; Shen, Jing; Xue, Bo
2019
Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications. Zbl 1337.37055
Li, Zhu; Geng, Xianguo; Guan, Liang
2016
Algebro-geometric solution to the modified Kadomtsev-Petviashvili equation. Zbl 1079.35089
Chen, Jinbing; Geng, Xianguo
2005
Decomposition and straightening out of the coupled mixed nonlinear Schrödinger flows. Zbl 1045.37038
Geng, Xianguo; Dai, H. H.
2004
Involutive solutions for Toda and Langmuir lattices through nonlinearization of Lax pairs. Zbl 0749.35038
Geng, Xianguo
1992
Darboux transformation of two-dimensional Sawada-Kotera equation. Zbl 0762.35097
Geng, Xianguo
1989
A coupled nonlinear Schrödinger type equation and its explicit solutions. Zbl 1198.37093
Ma, Yunling; Geng, Xianguo
2009
Quasi-periodic solutions to the two-component nonlinear Klein-Gordon equation. Zbl 1277.35299
Wu, Lihua; He, Guoliang; Geng, Xianguo
2013
Some new integrable nonlinear evolution equations and Darboux transformation. Zbl 1309.37072
Geng, Xianguo; He, Guoliang
2010
A new Neumann type integrable system related to the coupled Harry-Dym hierarchy. Zbl 1145.37326
Chen, Jinbing; Geng, Xianguo
2005
Generalized bilinear differential operators application in a $$(3+1)$$-dimensional generalized shallow water equation. Zbl 1342.35270
Wu, Jingzhu; Xing, Xiuzhi; Geng, Xianguo
2015
$$N$$-soliton and quasi-periodic solutions of the KdV6 equations. Zbl 1311.35254
Geng, Xianguo; Xue, Bo
2012
Exact solutions of a negative matrix AKNS system with a Hermitian symmetric space. Zbl 1410.35181
Shen, Jing; Geng, Xianguo; Xue, Bo
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
2019
A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. Zbl 1490.35093
Geng, Xianguo; Li, Ruomeng; Xue, Bo
2022
Long-time asymptotics for the spin-1 Gross-Pitaevskii equation. Zbl 1466.35326
Geng, Xianguo; Wang, Kedong; Chen, Mingming
2021
An integrable generalized Korteweg-de Vries equation with pseudo-peakons. Zbl 1462.35342
Wang, Kedong; Chen, Mingming; Li, Ruomeng; Geng, Xianguo
2021
Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation. Zbl 1470.37093
Chen, Mingming; Geng, Xianguo; Wang, Kedong
2021
Application of the nonlinear steepest descent method to the coupled Sasa-Satsuma equation. Zbl 1467.35281
Geng, Xianguo; Chen, Mingming; Wang, Kedong
2021
Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber. Zbl 07426913
Zhai, Yunyun; Ji, Ting; Geng, Xianguo
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
2021
Rogue periodic waves of the sine-Gordon equation. Zbl 1440.35030
Li, Ruomeng; Geng, Xianguo
2020
A vector general nonlinear Schrödinger equation with $$(m+n)$$ components. Zbl 1437.35627
Geng, Xianguo; Li, Ruomeng; Xue, Bo
2020
On a vector long wave-short wave-type model. Zbl 1454.35314
Li, Ruomeng; Geng, Xianguo
2020
Rational solutions for a (3+1)-dimensional nonlinear evolution equation. Zbl 1450.35242
Wang, Xin; Wei, Jiao; Geng, Xianguo
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
2020
A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions. Zbl 1475.35108
Li, Ruomeng; Geng, Xianguo
2020
A generalized complex mKdV equation: Darboux transformations and explicit solutions. Zbl 07328377
Li, Yihao; Li, Ruomeng; Xue, Bo; Geng, Xianguo
2020
Mean escape time for randomly switching narrow gates in a steady flow. Zbl 1446.76153
Wang, Hui; Duan, Jinqiao; Geng, Xianguo; Chao, Ying
2020
Riemann theta function solutions to the coupled long wave-short wave resonance equations. Zbl 1482.35199
Zhai, Yunyun; Geng, Xianguo; Xue, Bo
2020
The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices. Zbl 1403.37078
Wei, Jiao; Geng, Xianguo; Zeng, Xin
2019
Riemann theta function solutions of the Caudrey-Dodd-Gibbon-Sawada-Kotera hierarchy. Zbl 1415.37089
Geng, Xianguo; He, Guoliang; Wu, Lihua
2019
Long-time asymptotics of the coupled modified Korteweg-de Vries equation. Zbl 1420.35313
Geng, Xianguo; Chen, Mingming; Wang, Kedong
2019
Dynamical behaviour of rogue wave solutions in a multi-component AB system. Zbl 07222033
Geng, Xianguo; Shen, Jing; Xue, Bo
2019
Exact solutions of a negative matrix AKNS system with a Hermitian symmetric space. Zbl 1410.35181
Shen, Jing; Geng, Xianguo; Xue, Bo
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
2019
A Hermitian symmetric space Fokas-Lenells equation: solitons, breathers, rogue waves. Zbl 1414.35194
Geng, Xianguo; Shen, Jing; Xue, Bo
2019
Algebro-geometric integration of the modified Belov-Chaltikian lattice hierarchy. Zbl 1429.37041
Geng, Xianguo; Wei, Jiao; Zeng, Xin
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
2019
The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325
Geng, Xianguo; Liu, Huan
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
2018
Trace formula and new form of $$N$$-soliton to the Gerdjikov-Ivanov equation. Zbl 1402.35068
Nie, Hui; Zhu, Junyi; Geng, Xianguo
2018
Periodic and rational solutions of the reduced Maxwell-Bloch equations. Zbl 07263324
Wei, Jiao; Wang, Xin; Geng, Xianguo
2018
A new nonlinear wave equation: Darboux transformation and soliton solutions. Zbl 1465.35349
Geng, Xianguo; Shen, Jing; Xue, Bo
2018
The vector derivative nonlinear Schrödinger equation on the half-line. Zbl 1406.35364
Liu, Huan; Geng, Xianguo
2018
Riemann-Hilbert approach to TD equation with nonzero boundary condition. Zbl 1402.35195
Zhu, Junyi; Wang, Linlin; Geng, Xianguo
2018
A super Sasa-Satsuma hierarchy and bi-Hamiltonian structures. Zbl 06892557
Wei, Jiao; Geng, Xianguo
2018
$$N$$ solutions for a derivative nonlinear Schrödinger-type equation via Riemann-Hilbert approach. Zbl 1391.35305
Geng, Xianguo; Nie, Hui
2018
Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation. Zbl 07261239
Wu, Jianping; Geng, Xianguo
2017
Inverse scattering transform of the coupled Sasa-Satsuma equation by Riemann-Hilbert approach. Zbl 1365.35167
Wu, Jian-Ping; Geng, Xian-Guo
2017
The coupled Sasa-Satsuma hierarchy: trigonal curve and finite genus solutions. Zbl 1376.37113
Zhai, Yunyun; Geng, Xianguo
2017
Quasi-periodic solutions of the Belov-Chaltikian lattice hierarchy. Zbl 1408.37123
Geng, Xianguo; Zeng, Xin
2017
Application of the trigonal curve to the Blaszak-Marciniak lattice hierarchy. Zbl 1382.37076
Geng, Xianguo; Zeng, Xin
2017
$$N$$-soliton solution and soliton resonances for the $$(2+1)$$-dimensional inhomogeneous Gardner equation. Zbl 1375.35465
Wang, Xin; Geng, Xian-Guo
2017
Riemann-Hilbert approach and $$N$$-soliton solutions for a generalized Sasa-Satsuma equation. Zbl 1467.35282
Geng, Xianguo; Wu, Jianping
2016
Initial-boundary problems for the vector modified Korteweg-de Vries equation via Fokas unified transform method. Zbl 1342.35306
Liu, Huan; Geng, Xianguo
2016
Algebro-geometric solutions to the Manakov hierarchy. Zbl 1338.35384
Wu, Lihua; Geng, Xianguo; He, Guoliang
2016
Quasi-periodic solutions to the hierarchy of four-component Toda lattices. Zbl 1339.37061
Wei, Jiao; Geng, Xianguo; Zeng, Xin
2016
Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications. Zbl 1337.37055
Li, Zhu; Geng, Xianguo; Guan, Liang
2016
A vector generalization of Volterra type differential-difference equations. Zbl 1351.39008
Wei, Jiao; Geng, Xianguo
2016
Initial-boundary value problems for the coupled nonlinear Schrödinger equation on the half-line. Zbl 1338.35408
Geng, Xianguo; Liu, Huan; Zhu, Junyi
2015
Darboux transformation of the Drinfeld-Sokolov-Satsuma-Hirota system and exact solutions. Zbl 1360.37168
Geng, Xianguo; Li, Ruomeng
2015
Explicit quasi-periodic solutions of the Kaup-Newell hierarchy. Zbl 1317.37088
Geng, Xianguo; Li, Zhu; Xue, Bo; Guan, Liang
2015
Generalized bilinear differential operators application in a $$(3+1)$$-dimensional generalized shallow water equation. Zbl 1342.35270
Wu, Jingzhu; Xing, Xiuzhi; Geng, Xianguo
2015
A new integrable equation with peakons and cuspons and its bi-Hamiltonian structure. Zbl 1326.35066
Geng, Xianguo; Li, Ruomeng; Xue, Bo
2015
Algebro-geometric solution to the Bullough-Dodd-Zhiber-Shabat equation. Zbl 1315.35184
Wu, Lihua; Geng, Xianguo; Zhang, Jinshun
2015
A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures. Zbl 1410.35189
Wei, Jiao; Geng, Xianguo
2015
Algebro-geometric solutions to a new hierarchy of soliton equations. Zbl 1339.37071
Wang, Hui; Geng, Xianguo
2015
A note on the quasi-periodic solutions of the modified Boussinesq hierarchy. Zbl 1321.35191
Wu, Lihua; He, Guoliang; Geng, Xianguo
2015
Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy. Zbl 1304.37046
Geng, Xianguo; Zhai, Yunyun; Dai, H. H.
2014
The AB equations and the $$\bar\partial$$-dressing method in semi-characteristic coordinates. Zbl 1302.37044
Zhu, Junyi; Geng, Xianguo
2014
Algebro-geometric quasi-periodic solutions to the three-wave resonant interaction hierarchy. Zbl 1319.35211
He, Guoliang; Geng, Xianguo; Wu, Lihua
2014
Algebro-geometric solutions of the discrete Ragnisco-Tu hierarchy. Zbl 1417.37247
Zeng, Xin; Geng, Xianguo
2014
Quasiperiodic solutions of the discrete Chen-Lee-Liu hierarchy. Zbl 1310.37038
Zeng, Xin; Geng, Xianguo
2014
Explicit quasi-periodic solutions of the Vakhnenko equation. Zbl 1304.35045
Zhai, Yunyun; Geng, Xianguo; He, Guoliang
2014
Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy. Zbl 1309.37070
Geng, Xianguo; Wu, Lihua; He, Guoliang
2013
A super Camassa-Holm equation with $$N$$-peakon solutions. Zbl 1282.35284
Geng, Xianguo; Xue, Bo; Wu, Lihua
2013
A hierarchy of coupled evolution equations with self-consistent sources and the dressing method. Zbl 1275.37034
Zhu, Junyi; Geng, Xianguo
2013
Straightening out of the flows for the Hu hierarchy and its algebro-geometric solutions. Zbl 1256.35043
Zhai, Yunyun; Geng, Xianguo
2013
Novel Wronskian condition and new exact solutions to a $$(3+1)$$-dimensional generalized KP equation. Zbl 1284.35384
Wu, Jian-Ping; Geng, Xian-Guo
2013
The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws. Zbl 1329.35294
Wu, Lihua; He, Guoliang; Geng, Xianguo
2013
Algebro-geometric solutions of the TD hierarchy. Zbl 1303.37023
Geng, Xianguo; Zeng, Xin; Xue, Bo
2013
Quasi-periodic solutions to the two-component nonlinear Klein-Gordon equation. Zbl 1277.35299
Wu, Lihua; He, Guoliang; Geng, Xianguo
2013
Quasi-periodic solutions of the discrete mKdV hierarchy. Zbl 1282.35331
Geng, Xianguo; Gong, Dong
2013
Coupled Camassa-Holm equations, $$N$$-peakons and infinitely many conservation laws. Zbl 1284.35337
Geng, Xianguo; Wang, Hui
2013
A super hierarchy of the vector nonlinear Schrödinger equations and Hamiltonian structures, conservation laws. Zbl 1298.37050
He, Guoliang; Zhai, Yunyun; Geng, Xianguo
2013
Quasi-periodic solutions of coupled KdV type equations. Zbl 1420.37093
Xue, Bo; Li, Fang; Geng, Xianguo
2013
Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation. Zbl 1263.35196
Geng, Xianguo; Lv, Yanyan
2012
Darboux and Bäcklund transformations of the bidirectional Sawada-Kotera equation. Zbl 1247.37079
Ma, Yunling; Geng, Xianguo
2012
$$N$$-soliton and quasi-periodic solutions of the KdV6 equations. Zbl 1311.35254
Geng, Xianguo; Xue, Bo
2012
A generalization of Toda lattices and their bi-Hamiltonian structures. Zbl 1263.82009
Geng, Xianguo; Li, Fang; Xue, Bo
2012
Algebro-geometric solutions to the modified Sawada-Kotera hierarchy. Zbl 1284.37053
Wu, Lihua; He, Guoliang; Geng, Xianguo
2012
Quasiperiodic solutions of Jaulent-Miodek equations with a negative flow. Zbl 1297.37036
Xue, Bo; Geng, Xianguo; Li, Fang
2012
On the application of a generalized version of the dressing method to the integration of variable coefficient $$N$$-coupled nonlinear Schrödinger equation. Zbl 1308.35285
Su, Ting; Dai, Huihui; Geng, Xian Guo
2012
Quasi-periodic solutions of the relativistic Toda hierarchy. Zbl 1282.37035
Gong, Dong; Geng, Xianguo
2012
Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions. Zbl 1223.37093
Geng, Xianguo; Wu, Lihua; He, Guoliang
2011
A three-component generalization of Camassa-Holm equation with $$N$$-peakon solutions. Zbl 1207.35254
Geng, Xianguo; Xue, Bo
2011
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
2011
Decomposition and straightening out of the discrete Kaup-Newell flows. Zbl 1247.37057
Geng, Xianguo; Su, Ting
2011
Quasi-periodic solutions of mixed AKNS equations. Zbl 1200.35016
Geng, Xianguo; Xue, Bo
2010
Soliton solutions and quasiperiodic solutions of modified Korteweg-de Vries type equations. Zbl 1311.35255
Geng, Xianguo; Xue, Bo
2010
A new super-extension of the KdV hierarchy. Zbl 1190.35197
Geng, Xianguo; Wu, Lihua
2010
A super extension of Kaup-Newell hierarchy. Zbl 1222.37052
Geng, Xian-Guo; Wu, Li-Hua
2010
Darboux transformation and explicit solutions for the Satsuma-Hirota coupled equation. Zbl 1195.35260
Geng, Xianguo; He, Guoliang
2010
Some new integrable nonlinear evolution equations and Darboux transformation. Zbl 1309.37072
Geng, Xianguo; He, Guoliang
2010
Some new integrable nonlinear evolution equations and their infinitely many conservation laws. Zbl 1206.37041
Geng, Xianguo; Xue, Bo
2010
Darboux transformation and explicit solutions for Drinfel’d-Sokolov-Wilson equation. Zbl 1229.81074
Geng, Xian-Guo; Wu, Li-Hua
2010
Algebro-geometric constructions of semi-discrete Chen-Lee-Liu equations. Zbl 1242.37053
Su, Ting; Geng, Xianguo; Dai, Huihui
2010
An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331
Geng, Xianguo; Xue, Bo
2009
Grammian determinant solution and Pfaffianization for a $$(3+1)$$-dimensional soliton equation. Zbl 1183.35237
Wu, Jian-Ping; Geng, Xian-Guo
2009
A coupled nonlinear Schrödinger type equation and its explicit solutions. Zbl 1198.37093
Ma, Yunling; Geng, Xianguo
2009
On the application of a generalized dressing method to the integration of variable-coefficient coupled Hirota equations. Zbl 1304.37053
Su, Ting; Dai, Hui-Hui; Geng, Xianguo
2009
Quasi-periodic solutions of soliton equations associated with third-order spectral problems through reduction. Zbl 1152.35100
Dai, H. H.; Geng, Xianguo; Fan, Engui
2008
$$N$$-soliton solution and its Wronskian form of a $$(3+1)$$-dimensional nonlinear evolution equation. Zbl 1209.35116
Geng, Xianguo; Ma, Yunling
2007
...and 60 more Documents
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### Cited by 851 Authors

 103 Geng, Xianguo 46 Ma, Wen-Xiu 34 Xu, Xixiang 31 Fan, Engui 30 Xue, Bo 27 Zhang, Yufeng 22 Tian, Shoufu 18 He, Guoliang 18 Qiao, Zhijun 16 Wen, Xiaoyong 16 Xia, Tie-Cheng 15 Yang, Hongxiang 14 Zhu, Junyi 13 Chen, Jinbing 13 Du, Dianlou 13 Wei, Jiao 13 Zhou, Ruguang 12 Dong, Huanhe 12 Guo, Boling 12 Wazwaz, Abdul-Majid Abdul-Rahman 12 Wu, Lihua 12 Zhang, Hongqing 11 Hu, Xingbiao 11 Li, Ruomeng 11 Tian, Bo 11 Zeng, Xin 11 Zhao, Qiulan 10 He, Jingsong 10 Hu, Beibei 10 Li, Nianhua 10 Lü, Xing 10 Wang, Dengshan 10 Xia, Baoqiang 10 Xu, Tao 10 Yang, Jinjie 10 Zhai, Yunyun 10 Zhang, Yi 10 Zhaqilao, Z. 9 Chen, Dengyuan 9 Chen, Mingming 9 Li, Xinyue 9 Liu, Qingping 9 Manafian Heris, Jalil 9 Wang, Kedong 9 Yang, Xiao 8 Chen, Yong 8 Li, Zhu 8 Wang, Lei 8 Yu, Fajun 8 Yu, Jing 7 Cheng, Yi 7 Gao, Yitian 7 Lou, Senyue 7 Qu, Changzheng 7 Sun, Yepeng 7 Wang, Xiubin 7 Wu, Jianping 7 Wu, Yongtang 7 Zhang, Haiqiang 6 Biswas, Anjan 6 Chang, Xiangke 6 Dai, Huihui 6 Ding, Haiyong 6 Ilhan, Onur Alp 6 Khalique, Chaudry Masood 6 Mi, Yongsheng 6 Tam, Honwah 6 Yan, Zhenya 6 Zhang, Ling 5 Fan, Fangcheng 5 Gepreel, Khaled A. 5 Han, Bo 5 Hon, Yiu-Chung 5 Li, Hongmin 5 Liu, Huan 5 Liu, Nan 5 Mei, Jianqin 5 Mohammed, Sizar Abid 5 Peng, Weiqi 5 Su, Ting 5 Tang, Yaning 5 Yao, Yuqin 5 Zayed, Elsayed M. E. 5 Zhang, Huiqun 5 Zhang, Tiantian 5 Zhao, Haiqiong 4 Cao, Cewen 4 Han, Jingwei 4 Ji, Jie 4 Jiang, Yan 4 Li, Biao 4 Li, Yuxia 4 Li, Zhiqiang 4 Lin, Ji 4 Luo, Jinghua 4 Mu, Chunlai 4 Pelinovsky, Dmitry Efimovich 4 Qiu, Deqin 4 Shen, Jing 4 Shen, Shoufeng ...and 751 more Authors
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### Cited in 133 Serials

 81 Journal of Mathematical Physics 64 Applied Mathematics and Computation 44 Communications in Nonlinear Science and Numerical Simulation 38 Applied Mathematics Letters 33 Nonlinear Dynamics 30 Chaos, Solitons and Fractals 27 Journal of Nonlinear Mathematical Physics 26 Journal of Mathematical Analysis and Applications 25 Modern Physics Letters B 24 Advances in Mathematical Physics 23 Theoretical and Mathematical Physics 22 International Journal of Modern Physics B 21 Journal of Geometry and Physics 17 Physics Letters. A 15 Analysis and Mathematical Physics 14 Wave Motion 14 Physica D 13 Applicable Analysis 13 Studies in Applied Mathematics 12 Computers & Mathematics with Applications 12 Reports on Mathematical Physics 11 Communications in Theoretical Physics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 International Journal of Nonlinear Sciences and Numerical Simulation 9 Abstract and Applied Analysis 8 Journal of Nonlinear Science 8 Chaos 7 Mathematical Methods in the Applied Sciences 7 Journal of Differential Equations 7 Advances in Difference Equations 6 Acta Mathematicae Applicatae Sinica. English Series 6 International Journal of Computer Mathematics 6 Mathematical Problems in Engineering 6 Discrete Dynamics in Nature and Society 6 International Journal of Geometric Methods in Modern Physics 5 Nonlinearity 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Advances in Mathematics 5 Mathematics and Computers in Simulation 5 Discrete and Continuous Dynamical Systems 5 Mathematical Physics, Analysis and Geometry 5 Nonlinear Analysis. Real World Applications 5 East Asian Journal on Applied Mathematics 4 Journal of Applied Mathematics 4 Frontiers of Mathematics in China 4 Journal of Applied Analysis and Computation 4 AIMS Mathematics 3 Communications in Mathematical Physics 3 International Journal of Theoretical Physics 3 Physica A 3 Reviews in Mathematical Physics 3 Proceedings of the American Mathematical Society 3 Applied Mathematical Modelling 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Waves in Random and Complex Media 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Computational Physics 2 Journal of Computational and Applied Mathematics 2 Journal of Functional Analysis 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Chinese Annals of Mathematics. Series B 2 Numerical Methods for Partial Differential Equations 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Applied Mathematics. Series B (English Edition) 2 Journal of the Egyptian Mathematical Society 2 Fractals 2 Complexity 2 Journal of Shanghai University 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Journal of High Energy Physics 2 Annales Henri Poincaré 2 Boundary Value Problems 2 Complex Analysis and Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Advances in Applied Mathematics and Mechanics 2 Science China. Mathematics 2 Journal of Function Spaces 2 International Journal of Applied and Computational Mathematics 1 Modern Physics Letters A 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal of Mathematics and Mathematical Sciences 1 Memoirs of the American Mathematical Society 1 Quaestiones Mathematicae 1 Transactions of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Advances in Mathematics 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Computational and Applied Mathematics ...and 33 more Serials
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### Cited in 37 Fields

 671 Partial differential equations (35-XX) 534 Dynamical systems and ergodic theory (37-XX) 48 Algebraic geometry (14-XX) 45 Numerical analysis (65-XX) 38 Ordinary differential equations (34-XX) 36 Quantum theory (81-XX) 33 Difference and functional equations (39-XX) 23 Fluid mechanics (76-XX) 22 Computer science (68-XX) 20 Optics, electromagnetic theory (78-XX) 17 Mechanics of particles and systems (70-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Nonassociative rings and algebras (17-XX) 12 Approximations and expansions (41-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Special functions (33-XX) 9 Mechanics of deformable solids (74-XX) 7 Integral equations (45-XX) 6 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 4 Real functions (26-XX) 4 Operator theory (47-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX)