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Author ID: lu.xing Recent zbMATH articles by "Lü, Xing"
Published as: Lü, Xing; Lu, Xing

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 1,624 times in 711 Documents Cited by Year
Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations. Zbl 1354.35127
Ma, Wen Xiu; Qin, Zhenyun; Lü, Xing
120
2016
Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation. Zbl 1355.35159
Lü, Xing; Ma, Wen-Xiu
111
2016
Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1349.35007
Lü, Xing; Chen, Shou-Ting; Ma, Wen-Xiu
82
2016
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
Resonant behavior of multiple wave solutions to a Hirota bilinear equation. Zbl 1361.35155
Gao, Li-Na; Zhao, Xue-Ying; Zi, Yao-Yao; Yu, Jun; Lü, Xing
58
2016
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
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
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
Multi-exponential wave solutions to two extended Jimbo-Miwa equations and the resonance behavior. Zbl 1448.35459
Xu, Hao-Nan; Ruan, Wei-Yong; Zhang, Yu; Lü, Xing
39
2020
Systematic construction of infinitely many conservation laws for certain nonlinear evolution equations in mathematical physics. Zbl 1304.35030
Lü, Xing; Peng, Mingshu
37
2013
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
Soliton solutions and a Bäcklund transformation for a generalized nonlinear Schrödinger equation with variable coefficients from optical fiber communications. Zbl 1128.35385
Lü, Xing; Zhu, Hong-Wu; Meng, Xiang-Hua; Yang, Zai-Chun; Tian, Bo
36
2007
Analytical study on a two-dimensional Korteweg-de Vries model with bilinear representation, Bäcklund transformation and soliton solutions. Zbl 1443.35135
Lü, Xing; Lin, Fuhong; Qi, Fenghua
36
2015
Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation. Zbl 1188.35184
Zhang, Hai-Qiang; Tian, Bo; Meng, Xiang-Hua; Lü, Xing; Liu, Wen-Jun
35
2009
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
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
Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications. Zbl 1155.35455
Lü, Xing; Zhu, Hong-Wu; Yao, Zhen-Zhi; Meng, Xiang-Hua; Zhang, Cheng; Zhang, Chun-Yi; Tian, Bo
31
2008
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
Madelung fluid description on a generalized mixed nonlinear Schrödinger equation. Zbl 1347.35211
Lü, Xing
31
2015
Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types. Zbl 1516.35175
Lü, Xing; Chen, Si-Jia
30
2021
Painlevé-integrability and explicit solutions of the general two-coupled nonlinear Schrödinger system in the optical fiber communications. Zbl 1281.35078
Lü, Xing; Peng, Mingshu
30
2013
Soliton behavior for a generalized mixed nonlinear Schrödinger model with \(N\)-fold Darboux transformation. Zbl 1323.35163
Lü, Xing
29
2013
Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order. Zbl 1510.35309
Lü, Xing; Lin, Fuhong
29
2016
Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model. Zbl 1437.35635
Lü, Xing; Ma, Wen-Xiu; Yu, Jun; Lin, Fuhong; Khalique, Chaudry Masood
27
2015
Resonant multiple wave solutions to a new \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation: linear superposition principle. Zbl 1383.35193
Lin, Fu-Hong; Chen, Shou-Ting; Qu, Qi-Xing; Wang, Jian-Ping; Zhou, Xian-Wei; Lü, Xing
27
2018
Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations. Zbl 1234.35259
Zhang, Hai-Qiang; Tian, Bo; Lü, Xing; Li, He; Meng, Xiang-Hua
25
2009
Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model. Zbl 1319.37010
Lü, Xing; Peng, Mingshu
24
2013
Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation. Zbl 1450.35115
Xia, Jun-Wen; Zhao, Yi-Wei; Lü, Xing
21
2020
New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model. Zbl 1319.35222
Lü, Xing
20
2014
Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws. Zbl 1456.35073
Lü, Xing; Hua, Yan-Fei; Chen, Si-Jia; Tang, Xian-Feng
18
2021
Generalized (2 + 1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms. Zbl 1247.35107
Lü, Xing; Tian, Bo; Zhang, Hai-Qiang; Xu, Tao; Li, He
17
2012
Integrability with symbolic computation on the Bogoyavlensky-Konoplechenko model: Bell-polynomial manipulation, bilinear representation, and Wronskian solution. Zbl 1314.37049
Lü, Xing; Li, Juan
17
2014
Bell-polynomial manipulations on the Bäcklund transformations and Lax pairs for some soliton equations with one Tau-function. Zbl 1314.35129
Lü, Xing; Tian, Bo; Sun, Kun; Wang, Pan
17
2010
Lax pair, Bäcklund transformation and multi-soliton solutions for the Boussinesq-Burgers equations from shallow water waves. Zbl 1433.35302
Wang, Pan; Tian, Bo; Liu, Wen-Jun; Lü, Xing; Jiang, Yan
16
2011
Multi-soliton solutions and their interactions for the \((2+1)\)-dimensional Sawada-Kotera model with truncated Painlevé expansion, Hirota bilinear method and symbolic computation. Zbl 1180.37094
Lü, Xing; Geng, Tao; Zhang, Cheng; Zhu, Hong-Wu; Meng, Xiang-Hua; Tian, Bo
16
2009
Darboux transformation and soliton solutions for the coupled cubic-quintic nonlinear Schrödinger equations in nonlinear optics. Zbl 1335.35239
Qi, Feng-Hua; Tian, Bo; Lü, Xing; Guo, Rui; Xue, Yu-Shan
16
2012
Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one tau-function. Zbl 1239.35132
Lü, Xing; Tian, Bo; Qi, Feng Hua
15
2012
New general interaction solutions to the KPI equation via an optional decoupling condition approach. Zbl 1478.35083
Lü, Xing; Chen, Si-Jia
15
2021
Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients. Zbl 1456.35072
Chen, Si-Jia; Lü, Xing; Tang, Xian-Feng
15
2021
Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation. Zbl 1456.35007
He, Xue-Jiao; Lü, Xing; Li, Meng-Gang
14
2021
Analytical study of the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose-Einstein condensates. Zbl 1155.35454
Lü, Xing; Tian, Bo; Xu, Tao; Cai, Ke-Jie; Liu, Wen-Jun
13
2008
Exact boundary synchronization for a coupled system of wave equations with Neumann boundary controls. Zbl 1391.93039
Li, Tatsien; Lu, Xing; Rao, Bopeng
12
2018
Vector bright solitons associated with positive coherent coupling via Darboux transformation. Zbl 1374.35384
Lü, Xing; Ling, Liming
10
2015
\(M\)-lump solution, soliton solution and rational solution to a \((3+1)\)-dimensional nonlinear model. Zbl 07529445
He, Xue-Jiao; Lü, Xing
10
2022
Travelling wave solutions of a two-dimensional generalized Sawada-Kotera equation. Zbl 1354.35009
Adem, Abdullahi Rashid; Lü, Xing
8
2016
Integrability aspects with optical solitons of a generalized variable-coefficient \(N\)-coupled higher order nonlinear Schrödinger system from inhomogeneous optical fibers. Zbl 1310.35219
Lü, Xing; Li, Juan; Zhang, Hai-Qiang; Xu, Tao; Li, Li-Li; Tian, Bo
8
2010
Approximate boundary null controllability and approximate boundary synchronization for a coupled system of wave equations with Neumann boundary controls. Zbl 1405.93039
Li, Tatsien; Lu, Xing; Rao, Bopeng
8
2018
Dynamic behaviors of the lump solutions and mixed solutions to a \((2+1)\)-dimensional nonlinear model. Zbl 1519.35260
Chen, Si-Jia; Lü, Xing; Yin, Yu-Hang
7
2023
Exact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controls. Zbl 1470.93026
Li, Tatsien; Lu, Xing; Rao, Bopeng
7
2021
Soliton solutions via auxiliary function method for a coherently-coupled model in the optical fiber communications. Zbl 1261.35134
Lü, Xing; Tian, Bo
7
2013
Integrability study on a generalized \((2+1)\)-dimensional variable-coefficient gardner model with symbolic computation. Zbl 1311.35261
Lü, Xing; Tian, Bo; Zhang, Hai-Qiang; Xu, Tao; Li, He
6
2010
Wronskian and Grammian determinant solutions for a variable-coefficient Kadomtsev-Petviashvili equation. Zbl 1392.35274
Yao, Zhen-Zhi; Zhang, Chun-Yi; Zhu, Hong-Wu; Meng, Xiang-Hua; Lü, Xing; Shan, Wen-Rui; Tian, Bo
6
2008
Bright-soliton collisions with shape change by intensity redistribution for the coupled Sasa-Satsuma system in the optical fiber communications. Zbl 1470.78005
Lü, Xing
6
2014
Alfvén solitons in the coupled derivative nonlinear Schrödinger system with symbolic computation. Zbl 1180.35449
Xu, Tao; Tian, Bo; Zhang, Cheng; Meng, Xiang-Hua; Lü, Xing
5
2009
Soliton collision in a general coupled nonlinear Schrödinger system via symbolic computation. Zbl 1311.35299
Wang, Ming; Shan, Wen-Rui; Lü, Xing; Xue, Yu-Shan; Lin, Zhi-Qiang; Tian, Bo
5
2013
Exact boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary controls on a general bounded domain. Zbl 1475.93059
Lu, Xing; Li, Ta-tsien; Rao, Bopeng
5
2021
Solitons and their collisions in the spinor Bose-Einstein condensates. Zbl 1257.82010
Wang, Ming; Tian, Bo; Shan, Wen-Rui; Lü, Xing; Xue, Yu-Shan
5
2012
Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations. Zbl 07793525
Chen, Si-Jia; Yin, Yu-Hang; Lü, Xing
5
2024
Exact boundary controllability of weak solutions for a kind of first order hyperbolic system – the constructive method. Zbl 1476.93081
Lu, Xing; Li, Tatsien
4
2021
Dynamic analysis on optical pulses via modified PINNs: soliton solutions, rogue waves and parameter discovery of the CQ-NLSE. Zbl 1528.35172
Yin, Yu-Hang; Lü, Xing
4
2023
Analytic study on the Sawada-Kotera equation with a nonvanishing boundary condition in fluids. Zbl 1311.35264
Shan, Wen-Rui; Yan, Tian-Zhong; Lü, Xing; Li, Min; Tian, Bo
4
2013
\(N\)-solitonic solution in terms of Wronskian determinant for a perturbed variable-coefficient Korteweg-de Vries equation. Zbl 1143.35362
Zhang, Cheng; Zhu, Hong-Wu; Zhang, Chun-Yi; Yao, Zhen-Zhi; Lü, Xing; Meng, Xiang-Hua; Tian, Bo
3
2008
Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves. Zbl 1181.35219
Meng, De-Xin; Gao, Yi-Tian; Gai, Xiao-Ling; Wang, Lei; Yu, Xin; Sun, Zhi-Yuan; Wang, Ming-Zhen; Lü, Xing
3
2009
Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes. Zbl 1221.35334
Gai, Xiao-Ling; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Lü, Xing; Sun, Zhi-Yuan; Yu, Xin
3
2011
Analytic study on soliton-effect pulse compression in dispersion-shifted fibers with symbolic computation. Zbl 1143.78353
Liu, Wen-Jun; Meng, Xiang-Hua; Cai, Ke-Jie; Lü, Xing; Xu, Tao; Tian, Bo
3
2008
Exact boundary controllability of weak solutions for a kind of first order hyperbolic system – the HUM method. Zbl 1487.93014
Lu, Xing; Li, Tatsien
3
2022
Exact boundary synchronization for a kind of first order hyperbolic system. Zbl 1492.93021
Li, Tatsien; Lu, Xing
3
2022
Spread mechanism and control strategy of social network rumors under the influence of COVID-19. Zbl 1517.91176
Hui, Hongwen; Zhou, Chengcheng; Lü, Xing; Li, Jiarong
3
2020
Expectation-maximizing network reconstruction and most applicable network types based on binary time series data. Zbl 1521.92090
Liu, Kaiwei; Lü, Xing; Gao, Fei; Zhang, Jiang
3
2023
New solitary solutions and non-elastic interactions of the \((2 + 1)\)-dimensional variable-coefficient Broer-Kaup system with symbolic computation. Zbl 1198.81037
Geng, Tao; Shan, Wen-Rui; Lü, Xing; Cai, Ke-Jie; Zhang, Cheng; Tian, Bo
3
2009
Observation of resonant solitons and associated integrable properties for nonlinear waves. Zbl 1507.35224
Chen, Si-Jia; Lü, Xing
3
2022
Some novel solutions for the two-coupled nonlinear Schrödinger equations. Zbl 1366.35173
Xiang, Rui; Ling, Liming; Lü, Xing
2
2017
Darboux transformation and soliton solutions for a variable-coefficient modified Kortweg-de Vries model from fluid mechanics, ocean dynamics, and plasma mechanics. Zbl 1251.76005
Gai, Xiao-Ling; Gao, Yi-Tian; Meng, De-Xin; Wang, Lei; Sun, Zhi-Yuan; Lü, Xing; Feng, Qian; Wang, Ming-Zhen; Yu, Xin; Zhu, Shun-Hui
2
2010
Bäcklund transformation, superposition formulae and \(N\)-soliton solutions for the perturbed Korteweg-de Vries equation. Zbl 1252.35243
Liu, Licai; Tian, Bo; Qin, Bo; Lü, Xing; Lin, Zhiqiang; Liu, Wenjun
2
2012
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
Local exact boundary synchronization for a kind of first order quasilinear hyperbolic systems. Zbl 1437.35460
Lu, Xing
2
2019
Integrability aspects and soliton solutions for a system describing ultrashort pulse propagation in an inhomogeneous multi-component medium. Zbl 1219.78113
Guo, Rui; Tian, Bo; Lü, Xing; Zhang, Hai-Qiang; Xu, Tao
1
2010
Exact solutions to a \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvilli equation via the bilinear method and Wronskian technique. Zbl 1186.35196
Zhang, Cheng; Tian, Bo; Xu, Tao; Li, Li-Li; Lü, Xing; Geng, Tao; Zhu, Hong-Wu
1
2009
Symbolic computation, Bäcklund transformation and analytic \(N\)-soliton-like solution for a nonlinear Schrödinger equation with nonuniformity term from certain space/laboratory plasmas. Zbl 1172.35074
Zhu, Hong-Wu; Tian, Bo; Meng, Xiang-Hua; Lü, Xing; Yao, Zhen-Zhi; Zhang, Cheng
1
2009
Controllability of classical solutions implies controllability of weak solutions for a coupled system of wave equations and its application. Zbl 1346.35125
Lu, Xing
1
2016
The approximately synchronizable state for a kind of coupled system of wave equations. Zbl 1452.93004
Lu, Xing
1
2020
Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations. Zbl 07793525
Chen, Si-Jia; Yin, Yu-Hang; Lü, Xing
5
2024
Dynamic behaviors of the lump solutions and mixed solutions to a \((2+1)\)-dimensional nonlinear model. Zbl 1519.35260
Chen, Si-Jia; Lü, Xing; Yin, Yu-Hang
7
2023
Dynamic analysis on optical pulses via modified PINNs: soliton solutions, rogue waves and parameter discovery of the CQ-NLSE. Zbl 1528.35172
Yin, Yu-Hang; Lü, Xing
4
2023
Expectation-maximizing network reconstruction and most applicable network types based on binary time series data. Zbl 1521.92090
Liu, Kaiwei; Lü, Xing; Gao, Fei; Zhang, Jiang
3
2023
\(M\)-lump solution, soliton solution and rational solution to a \((3+1)\)-dimensional nonlinear model. Zbl 07529445
He, Xue-Jiao; Lü, Xing
10
2022
Exact boundary controllability of weak solutions for a kind of first order hyperbolic system – the HUM method. Zbl 1487.93014
Lu, Xing; Li, Tatsien
3
2022
Exact boundary synchronization for a kind of first order hyperbolic system. Zbl 1492.93021
Li, Tatsien; Lu, Xing
3
2022
Observation of resonant solitons and associated integrable properties for nonlinear waves. Zbl 1507.35224
Chen, Si-Jia; Lü, Xing
3
2022
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
Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types. Zbl 1516.35175
Lü, Xing; Chen, Si-Jia
30
2021
Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws. Zbl 1456.35073
Lü, Xing; Hua, Yan-Fei; Chen, Si-Jia; Tang, Xian-Feng
18
2021
New general interaction solutions to the KPI equation via an optional decoupling condition approach. Zbl 1478.35083
Lü, Xing; Chen, Si-Jia
15
2021
Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients. Zbl 1456.35072
Chen, Si-Jia; Lü, Xing; Tang, Xian-Feng
15
2021
Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation. Zbl 1456.35007
He, Xue-Jiao; Lü, Xing; Li, Meng-Gang
14
2021
Exact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controls. Zbl 1470.93026
Li, Tatsien; Lu, Xing; Rao, Bopeng
7
2021
Exact boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary controls on a general bounded domain. Zbl 1475.93059
Lu, Xing; Li, Ta-tsien; Rao, Bopeng
5
2021
Exact boundary controllability of weak solutions for a kind of first order hyperbolic system – the constructive method. Zbl 1476.93081
Lu, Xing; Li, Tatsien
4
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
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
Multi-exponential wave solutions to two extended Jimbo-Miwa equations and the resonance behavior. Zbl 1448.35459
Xu, Hao-Nan; Ruan, Wei-Yong; Zhang, Yu; Lü, Xing
39
2020
Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation. Zbl 1450.35115
Xia, Jun-Wen; Zhao, Yi-Wei; Lü, Xing
21
2020
Spread mechanism and control strategy of social network rumors under the influence of COVID-19. Zbl 1517.91176
Hui, Hongwen; Zhou, Chengcheng; Lü, Xing; Li, Jiarong
3
2020
The approximately synchronizable state for a kind of coupled system of wave equations. Zbl 1452.93004
Lu, Xing
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
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
Local exact boundary synchronization for a kind of first order quasilinear hyperbolic systems. Zbl 1437.35460
Lu, Xing
2
2019
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
Resonant multiple wave solutions to a new \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation: linear superposition principle. Zbl 1383.35193
Lin, Fu-Hong; Chen, Shou-Ting; Qu, Qi-Xing; Wang, Jian-Ping; Zhou, Xian-Wei; Lü, Xing
27
2018
Exact boundary synchronization for a coupled system of wave equations with Neumann boundary controls. Zbl 1391.93039
Li, Tatsien; Lu, Xing; Rao, Bopeng
12
2018
Approximate boundary null controllability and approximate boundary synchronization for a coupled system of wave equations with Neumann boundary controls. Zbl 1405.93039
Li, Tatsien; Lu, Xing; Rao, Bopeng
8
2018
Some novel solutions for the two-coupled nonlinear Schrödinger equations. Zbl 1366.35173
Xiang, Rui; Ling, Liming; Lü, Xing
2
2017
Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations. Zbl 1354.35127
Ma, Wen Xiu; Qin, Zhenyun; Lü, Xing
120
2016
Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation. Zbl 1355.35159
Lü, Xing; Ma, Wen-Xiu
111
2016
Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1349.35007
Lü, Xing; Chen, Shou-Ting; Ma, Wen-Xiu
82
2016
Resonant behavior of multiple wave solutions to a Hirota bilinear equation. Zbl 1361.35155
Gao, Li-Na; Zhao, Xue-Ying; Zi, Yao-Yao; Yu, Jun; Lü, Xing
58
2016
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
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
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
Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order. Zbl 1510.35309
Lü, Xing; Lin, Fuhong
29
2016
Travelling wave solutions of a two-dimensional generalized Sawada-Kotera equation. Zbl 1354.35009
Adem, Abdullahi Rashid; Lü, Xing
8
2016
Controllability of classical solutions implies controllability of weak solutions for a coupled system of wave equations and its application. Zbl 1346.35125
Lu, Xing
1
2016
Analytical study on a two-dimensional Korteweg-de Vries model with bilinear representation, Bäcklund transformation and soliton solutions. Zbl 1443.35135
Lü, Xing; Lin, Fuhong; Qi, Fenghua
36
2015
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
Madelung fluid description on a generalized mixed nonlinear Schrödinger equation. Zbl 1347.35211
Lü, Xing
31
2015
Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model. Zbl 1437.35635
Lü, Xing; Ma, Wen-Xiu; Yu, Jun; Lin, Fuhong; Khalique, Chaudry Masood
27
2015
Vector bright solitons associated with positive coherent coupling via Darboux transformation. Zbl 1374.35384
Lü, Xing; Ling, Liming
10
2015
New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model. Zbl 1319.35222
Lü, Xing
20
2014
Integrability with symbolic computation on the Bogoyavlensky-Konoplechenko model: Bell-polynomial manipulation, bilinear representation, and Wronskian solution. Zbl 1314.37049
Lü, Xing; Li, Juan
17
2014
Bright-soliton collisions with shape change by intensity redistribution for the coupled Sasa-Satsuma system in the optical fiber communications. Zbl 1470.78005
Lü, Xing
6
2014
Systematic construction of infinitely many conservation laws for certain nonlinear evolution equations in mathematical physics. Zbl 1304.35030
Lü, Xing; Peng, Mingshu
37
2013
Painlevé-integrability and explicit solutions of the general two-coupled nonlinear Schrödinger system in the optical fiber communications. Zbl 1281.35078
Lü, Xing; Peng, Mingshu
30
2013
Soliton behavior for a generalized mixed nonlinear Schrödinger model with \(N\)-fold Darboux transformation. Zbl 1323.35163
Lü, Xing
29
2013
Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model. Zbl 1319.37010
Lü, Xing; Peng, Mingshu
24
2013
Soliton solutions via auxiliary function method for a coherently-coupled model in the optical fiber communications. Zbl 1261.35134
Lü, Xing; Tian, Bo
7
2013
Soliton collision in a general coupled nonlinear Schrödinger system via symbolic computation. Zbl 1311.35299
Wang, Ming; Shan, Wen-Rui; Lü, Xing; Xue, Yu-Shan; Lin, Zhi-Qiang; Tian, Bo
5
2013
Analytic study on the Sawada-Kotera equation with a nonvanishing boundary condition in fluids. Zbl 1311.35264
Shan, Wen-Rui; Yan, Tian-Zhong; Lü, Xing; Li, Min; Tian, Bo
4
2013
Generalized (2 + 1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms. Zbl 1247.35107
Lü, Xing; Tian, Bo; Zhang, Hai-Qiang; Xu, Tao; Li, He
17
2012
Darboux transformation and soliton solutions for the coupled cubic-quintic nonlinear Schrödinger equations in nonlinear optics. Zbl 1335.35239
Qi, Feng-Hua; Tian, Bo; Lü, Xing; Guo, Rui; Xue, Yu-Shan
16
2012
Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one tau-function. Zbl 1239.35132
Lü, Xing; Tian, Bo; Qi, Feng Hua
15
2012
Solitons and their collisions in the spinor Bose-Einstein condensates. Zbl 1257.82010
Wang, Ming; Tian, Bo; Shan, Wen-Rui; Lü, Xing; Xue, Yu-Shan
5
2012
Bäcklund transformation, superposition formulae and \(N\)-soliton solutions for the perturbed Korteweg-de Vries equation. Zbl 1252.35243
Liu, Licai; Tian, Bo; Qin, Bo; Lü, Xing; Lin, Zhiqiang; Liu, Wenjun
2
2012
Lax pair, Bäcklund transformation and multi-soliton solutions for the Boussinesq-Burgers equations from shallow water waves. Zbl 1433.35302
Wang, Pan; Tian, Bo; Liu, Wen-Jun; Lü, Xing; Jiang, Yan
16
2011
Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes. Zbl 1221.35334
Gai, Xiao-Ling; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Lü, Xing; Sun, Zhi-Yuan; Yu, Xin
3
2011
Bell-polynomial manipulations on the Bäcklund transformations and Lax pairs for some soliton equations with one Tau-function. Zbl 1314.35129
Lü, Xing; Tian, Bo; Sun, Kun; Wang, Pan
17
2010
Integrability aspects with optical solitons of a generalized variable-coefficient \(N\)-coupled higher order nonlinear Schrödinger system from inhomogeneous optical fibers. Zbl 1310.35219
Lü, Xing; Li, Juan; Zhang, Hai-Qiang; Xu, Tao; Li, Li-Li; Tian, Bo
8
2010
Integrability study on a generalized \((2+1)\)-dimensional variable-coefficient gardner model with symbolic computation. Zbl 1311.35261
Lü, Xing; Tian, Bo; Zhang, Hai-Qiang; Xu, Tao; Li, He
6
2010
Darboux transformation and soliton solutions for a variable-coefficient modified Kortweg-de Vries model from fluid mechanics, ocean dynamics, and plasma mechanics. Zbl 1251.76005
Gai, Xiao-Ling; Gao, Yi-Tian; Meng, De-Xin; Wang, Lei; Sun, Zhi-Yuan; Lü, Xing; Feng, Qian; Wang, Ming-Zhen; Yu, Xin; Zhu, Shun-Hui
2
2010
Integrability aspects and soliton solutions for a system describing ultrashort pulse propagation in an inhomogeneous multi-component medium. Zbl 1219.78113
Guo, Rui; Tian, Bo; Lü, Xing; Zhang, Hai-Qiang; Xu, Tao
1
2010
Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation. Zbl 1188.35184
Zhang, Hai-Qiang; Tian, Bo; Meng, Xiang-Hua; Lü, Xing; Liu, Wen-Jun
35
2009
Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations. Zbl 1234.35259
Zhang, Hai-Qiang; Tian, Bo; Lü, Xing; Li, He; Meng, Xiang-Hua
25
2009
Multi-soliton solutions and their interactions for the \((2+1)\)-dimensional Sawada-Kotera model with truncated Painlevé expansion, Hirota bilinear method and symbolic computation. Zbl 1180.37094
Lü, Xing; Geng, Tao; Zhang, Cheng; Zhu, Hong-Wu; Meng, Xiang-Hua; Tian, Bo
16
2009
Alfvén solitons in the coupled derivative nonlinear Schrödinger system with symbolic computation. Zbl 1180.35449
Xu, Tao; Tian, Bo; Zhang, Cheng; Meng, Xiang-Hua; Lü, Xing
5
2009
Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves. Zbl 1181.35219
Meng, De-Xin; Gao, Yi-Tian; Gai, Xiao-Ling; Wang, Lei; Yu, Xin; Sun, Zhi-Yuan; Wang, Ming-Zhen; Lü, Xing
3
2009
New solitary solutions and non-elastic interactions of the \((2 + 1)\)-dimensional variable-coefficient Broer-Kaup system with symbolic computation. Zbl 1198.81037
Geng, Tao; Shan, Wen-Rui; Lü, Xing; Cai, Ke-Jie; Zhang, Cheng; Tian, Bo
3
2009
Exact solutions to a \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvilli equation via the bilinear method and Wronskian technique. Zbl 1186.35196
Zhang, Cheng; Tian, Bo; Xu, Tao; Li, Li-Li; Lü, Xing; Geng, Tao; Zhu, Hong-Wu
1
2009
Symbolic computation, Bäcklund transformation and analytic \(N\)-soliton-like solution for a nonlinear Schrödinger equation with nonuniformity term from certain space/laboratory plasmas. Zbl 1172.35074
Zhu, Hong-Wu; Tian, Bo; Meng, Xiang-Hua; Lü, Xing; Yao, Zhen-Zhi; Zhang, Cheng
1
2009
Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications. Zbl 1155.35455
Lü, Xing; Zhu, Hong-Wu; Yao, Zhen-Zhi; Meng, Xiang-Hua; Zhang, Cheng; Zhang, Chun-Yi; Tian, Bo
31
2008
Analytical study of the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose-Einstein condensates. Zbl 1155.35454
Lü, Xing; Tian, Bo; Xu, Tao; Cai, Ke-Jie; Liu, Wen-Jun
13
2008
Wronskian and Grammian determinant solutions for a variable-coefficient Kadomtsev-Petviashvili equation. Zbl 1392.35274
Yao, Zhen-Zhi; Zhang, Chun-Yi; Zhu, Hong-Wu; Meng, Xiang-Hua; Lü, Xing; Shan, Wen-Rui; Tian, Bo
6
2008
\(N\)-solitonic solution in terms of Wronskian determinant for a perturbed variable-coefficient Korteweg-de Vries equation. Zbl 1143.35362
Zhang, Cheng; Zhu, Hong-Wu; Zhang, Chun-Yi; Yao, Zhen-Zhi; Lü, Xing; Meng, Xiang-Hua; Tian, Bo
3
2008
Analytic study on soliton-effect pulse compression in dispersion-shifted fibers with symbolic computation. Zbl 1143.78353
Liu, Wen-Jun; Meng, Xiang-Hua; Cai, Ke-Jie; Lü, Xing; Xu, Tao; Tian, Bo
3
2008
Soliton solutions and a Bäcklund transformation for a generalized nonlinear Schrödinger equation with variable coefficients from optical fiber communications. Zbl 1128.35385
Lü, Xing; Zhu, Hong-Wu; Meng, Xiang-Hua; Yang, Zai-Chun; Tian, Bo
36
2007
all top 5

Cited by 981 Authors

57 Ma, Wen-Xiu
49 Lü, Xing
41 Tian, Bo
36 Gao, Yitian
19 Liu, Jianguo
19 Yu, Xin
18 Manafian Heris, Jalil
18 Seadawy, Aly R.
15 Wang, Lei
14 Adem, Abdullahi Rashid
13 Tian, Shoufu
13 Zhao, Zhonglong
12 Khalique, Chaudry Masood
12 Liu, Wenjun J.
12 Zhang, Haiqiang
11 Chen, Sijia
11 Li, Tatsien
11 Sun, Yongli
11 Sun, Zhiyuan
11 Xu, Tao
11 Yu, Jianping
11 Zhang, Yi
10 Hu, Beibei
10 Ilhan, Onur Alp
10 Rizvi, Syed Tahir Raza
10 Wazwaz, Abdul-Majid Abdul-Rahman
10 Zhang, Tiantian
9 Bilige, Sudao
9 Biswas, Anjan
9 Chen, Yong
9 Dai, Chaoqing
9 Meng, Dexin
9 Ren, Bo
9 Zhang, Yufeng
9 Zhu, Wenhui
8 Guo, Boling
8 He, Lingchao
8 Lin, Ji
8 Mirzazadeh, Mohammad
8 Qiu, Deqin
8 Shan, Wenrui
7 Gai, Xiaoling
7 Jiang, Yan
7 Liu, Yinping
7 Rao, Bopeng
7 Tang, Bing
7 Wang, Yunhu
7 Xia, Tie-Cheng
6 Cheng, Li
6 Deng, Aiping
6 El-Tantawy, S. A.
6 Hosseini, Kamyar
6 Li, Bangqing
6 Li, Min
6 Ma, Hongcai
6 Meng, Xianghua
6 Muatjetjeja, Ben
6 Qu, Qixing
6 Wang, Ming
6 Wang, Yufeng
6 Xin, Xiangpeng
6 Yin, Yuhang
6 Zhang, Ling
6 Zhang, Runfa
6 Zhang, Yong
6 Zhen, Hui-Ling
5 Chen, Shouting
5 Ding, Cui-Cui
5 Dong, Huanhe
5 Fan, Engui
5 Han, Bo
5 He, Jingsong
5 Jia, Tingting
5 Lan, Zhongzhou
5 Li, Liu-Qing
5 Liu, Nan
5 Liu, Ying
5 Lu, Dianchen
5 Ma, Yulan
5 Ma, Zhengyi
5 Meng, Gao-Qing
5 Qi, Fenghua
5 Qin, Bo
5 Sulaiman, Tukur Abdulkadir
5 Tang, Xiaoyan
5 Wang, Pan
5 Yan, Xuewei
5 Yao, Ruoxia
5 Yusuf, Abdullahi A.
5 Zhou, Qin
4 Ahmed, Sarfaraz
4 Băleanu, Dumitru I.
4 Baskonus, Haci Mehmet
4 Batwa, Sumayah
4 Chaolu, Temuer
4 Chen, Yi
4 Dong, Minjie
4 El-Shiekh, Rehab M.
4 Fang, Tao
4 Guo, Rui
...and 881 more Authors
all top 5

Cited in 102 Serials

111 Nonlinear Dynamics
46 Computers & Mathematics with Applications
45 Communications in Nonlinear Science and Numerical Simulation
44 Applied Mathematics Letters
28 Communications in Theoretical Physics
26 Applied Mathematics and Computation
25 Chaos, Solitons and Fractals
20 Advances in Mathematical Physics
18 Waves in Random and Complex Media
16 Physics Letters. A
15 International Journal of Theoretical Physics
15 Mathematical Methods in the Applied Sciences
15 Journal of Geometry and Physics
14 International Journal of Nonlinear Sciences and Numerical Simulation
12 Analysis and Mathematical Physics
11 Journal of Mathematical Physics
11 Qualitative Theory of Dynamical Systems
10 International Journal of Modern Physics B
10 Complexity
10 Advances in Difference Equations
9 Journal of Nonlinear Mathematical Physics
8 Wave Motion
8 Mathematics and Computers in Simulation
8 International Journal of Computer Mathematics
7 Theoretical and Mathematical Physics
7 Chaos
7 Frontiers of Mathematics in China
7 Journal of Applied Analysis and Computation
6 Journal of Mathematical Analysis and Applications
6 Fractals
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 International Journal of Applied and Computational Mathematics
5 Physica A
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Chinese Annals of Mathematics. Series B
5 Applied Mathematical Modelling
5 Mathematical Problems in Engineering
4 Physica D
4 AIMS Mathematics
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Computational and Applied Mathematics
3 Abstract and Applied Analysis
3 International Journal of Geometric Methods in Modern Physics
3 Journal of Physics A: Mathematical and Theoretical
3 East Asian Journal on Applied Mathematics
2 Applicable Analysis
2 Computers and Fluids
2 Reviews in Mathematical Physics
2 SIAM Journal on Control and Optimization
2 Acta Applicandae Mathematicae
2 Computational Mathematics and Mathematical Physics
2 Applied Mathematics. Series B (English Edition)
2 Discrete Dynamics in Nature and Society
2 Nonlinear Analysis. Real World Applications
2 Nonlinear Analysis. Modelling and Control
2 Journal of Applied Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Applied Nonlinear Dynamics
2 Electronic Research Archive
1 Computer Physics Communications
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Journal of Computational and Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Studies in Applied Mathematics
1 Applied Numerical Mathematics
1 Mathematical and Computer Modelling
1 Electronic Journal of Differential Equations (EJDE)
1 Turkish Journal of Mathematics
1 Filomat
1 Journal of Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 European Journal of Mechanics. B. Fluids
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Regular and Chaotic Dynamics
1 International Journal of Applied Mathematics and Computer Science
1 Journal of Systems Science and Complexity
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Complex Analysis and Operator Theory
1 Chinese Journal of Physics (Taipei)
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Applied Mathematics and Mechanics
1 Science China. Mathematics
1 International Journal of Functional Analysis, Operator Theory and Applications
1 Annalen der Physik
1 Caspian Journal of Mathematical Sciences
1 Mathematical Sciences
1 Journal of Dynamics and Games
1 Journal of Mathematics
1 Journal of Function Spaces
1 International Scholarly Research Notices. Mathematical Analysis
1 Computational Methods for Differential Equations
1 Cogent Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Russian Journal of Nonlinear Dynamics
...and 2 more Serials

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