Lie symmetry analysis and exact explicit solutions for general Burgers’ equation. Zbl 1166.35033
Liu, Hanze; Li, Jibin; Zhang, Quanxin |
|
2009
|
Complete group classifications and symmetry reductions of the fractional fifth-order KdV types of equations. Zbl 1277.35305
Liu, Hanze |
|
2013
|
Lie symmetry analysis and exact solutions for the short pulse equation. Zbl 1244.35003
Liu, Hanze; Li, Jibin |
|
2009
|
Symmetry reductions and exact solutions to the systems of carbon nanotubes conveying fluid. Zbl 1266.37041
Liu, Hanze; Geng, Yixiang |
|
2013
|
Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations. Zbl 1192.35011
Liu, Hanze; Li, Jibin; Liu, Lei |
|
2010
|
Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations. Zbl 1302.37034
Liu, Hanze; Li, Jibin |
|
2014
|
Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients gardner equations. Zbl 1183.35236
Liu, Hanze; Li, Jibin; Liu, Lei |
|
2010
|
Lie symmetry analysis and exact solutions for the extended mKdV equation. Zbl 1223.37079
Liu, Hanze; Li, Jibin |
|
2010
|
Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations. Zbl 1375.37166
Liu, Hanze; Yue, Chao |
|
2017
|
High order nonlocal symmetries and exact interaction solutions of the variable coefficient KdV equation. Zbl 1407.35013
Xin, Xiangpeng; Liu, Hanze; Zhang, Linlin; Wang, Zenggui |
|
2019
|
The exact analytic solutions of a nonlinear differential iterative equation. Zbl 1155.34339
Liu, Hanze; Li, Wenrong |
|
2008
|
Nonlocal symmetries and exact solutions of the \((2+1)\)-dimensional generalized variable coefficient shallow water wave equation. Zbl 1412.35020
Xin, Xiangpeng; Zhang, Linlin; Xia, Yarong; Liu, Hanze |
|
2019
|
Group classifications, optimal systems and exact solutions to the generalized Thomas equations. Zbl 1246.35196
Liu, Hanze; Li, Jibin; Liu, Lei; Wei, Yuan |
|
2011
|
Invariant subspace classification and exact solutions to the generalized nonlinear D-C equation. Zbl 1524.35702
Liu, Hanze |
|
2018
|
Painlevé analysis, complete Lie group classifications and exact solutions to the time-dependent coefficients gardner types of equations. Zbl 1345.37073
Liu, Hanze; Li, Jibin |
|
2015
|
Lie group classifications and exact solutions for two variable-coefficient equations. Zbl 1232.35173
Liu, Hanze; Li, Jibin; Liu, Lei |
|
2009
|
Discussion on the analytic solutions of the second-order iterated differential equation. Zbl 1131.34048
Liu, Hanze; Li, Wenrong |
|
2006
|
CK transformations, symmetries, exact solutions and conservation laws of the generalized variable-coefficient KdV types of equations. Zbl 1405.37080
Liu, Hanze; Sang, Bo; Xin, Xiangpeng; Liu, Xiqiang |
|
2019
|
Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations. Zbl 1479.35829
Xin, Xiangpeng; Liu, Yutang; Xia, Yarong; Liu, Hanze |
|
2021
|
Complete group classification and exact solutions to the generalized short pulse equation. Zbl 1257.35019
Liu, Hanze; Li, Jibin.; Liu, Lei |
|
2012
|
Darboux transformation of the variable coefficient nonlocal equation. Zbl 1442.35432
Xin, Xiangpeng; Xia, Yarong; Liu, Hanze; Zhang, Linlin |
|
2020
|
Symmetry and conservation law classification and exact solutions to the generalized KdV types of equations. Zbl 1258.35177
Liu, Hanze; Li, Jibin; Liu, Lei |
|
2012
|
Exact periodic wave solutions for the hKdV equation. Zbl 1162.35312
Liu, Hanze; Li, Jibin; Chen, Fengjuan |
|
2009
|
Generalized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equations. Zbl 1470.35017
Liu, Hanze |
|
2016
|
Bäcklund transformation classification, integrability and exact solutions to the generalized Burgers’-KdV equation. Zbl 1465.37079
Liu, Hanze; Xin, Xiangpeng; Wang, Zenggui; Liu, Xiqiang |
|
2017
|
Group classifications, symmetry reductions and exact solutions to the nonlinear elastic rod equations. Zbl 1241.35198
Liu, Hanze; Li, J.; Liu, Lei |
|
2012
|
Painlevé test, generalized symmetries, Bäcklund transformations and exact solutions to the third-order Burgers’ equations. Zbl 1315.35190
Liu, Hanze |
|
2015
|
Symmetry reductions, dynamical behavior and exact explicit solutions to a class of nonlinear shallow water wave equation. Zbl 1437.37101
Chang, Lina; Liu, Hanze; Zhang, Lijun |
|
2020
|
Analytic solutions of an iterative equation with first-order derivative. Zbl 1090.34600
Liu, Hanze; Qiu, Fang |
|
2005
|
Symmetries, symmetry reductions and exact solutions to the generalized nonlinear fractional wave equations. Zbl 1451.35254
Liu, Han-Ze; Wang, Zeng-Gui; Xin, Xiang-Peng; Liu, Xi-Qiang |
|
2018
|
Conservation law classification and integrability of generalized nonlinear second-order equation. Zbl 1247.35068
Liu, Han-Ze; Li, Ji-Bin; Liu, Lei |
|
2011
|
The recursion operator method for generalized symmetries and Bäcklund transformations of the Burgers’ equations. Zbl 1348.37111
Liu, Hanze; Li, Jibin; Liu, Lei |
|
2013
|
Lie symmetries, conservation laws and exact solutions for two rod equations. Zbl 1276.35013
Liu, Hanze; Li, Jibin |
|
2010
|
The unified group classification method for the generalized nonlinear wave equation and its partial difference schemes. Zbl 1328.39010
Liu, Hanze |
|
2015
|
Equivalent transformations and exact solutions to the generalized cylindrical KdV type of equation. Zbl 1479.37072
Liu, Hanze; Bai, Cheng-Lin; Xin, Xiangpeng; Li, Xinyue |
|
2020
|
Exact and explicit analytic solutions of an extended Jabotinsky functional differential equation. Zbl 1270.34200
Li, Jibin; Liu, Hanze; Qiu, Fang |
|
2009
|
Painlevé analysis, \({\Phi}\)-integrable and exact solutions to the \((3+1)\)-dimensional nonlinear evolution equations. Zbl 1349.37067
Liu, Hanze; Liu, Xiqiang; Wang, Zenggui; Xin, Xiangpeng |
|
2016
|
Lie symmetry analysis, Bäcklund transformations and exact solutions to (2+1)-dimensional Burgers types of equations. Zbl 1247.35106
Liu, Han-Ze; Li, Ji-Bin; Liu, Lei |
|
2012
|
Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations. Zbl 1492.35322
Xin, Xiangpeng; Xia, Yarong; Zhang, Lihua; Liu, Hanze |
|
2022
|
A novel Lie group classification method for generalized cylindrical KdV type of equation: exact solutions and conservation laws. Zbl 1428.37068
Liu, Hanze; Bai, Cheng-Lin; Xin, Xiangpeng; Zhang, Lijun |
|
2019
|
Improved equivalent transformation method for reduction NLPDEs with time-dependent variables. Zbl 1475.35009
Liu, Hanze; Bai, Cheng-Lin; Xin, Xiangpeng |
|
2021
|
Darboux transformation, soliton solutions of the variable coefficient nonlocal modified Korteweg-de Vries equation. Zbl 1499.35532
Zhang, Feng; Hu, Yuru; Xin, Xiangpeng; Liu, Hanze |
|
2022
|
Lie symmetry analysis, bifurcations and exact solutions for the (2+1)-dimensional dissipative long wave system. Zbl 1484.37084
Chang, Lina; Liu, Hanze; Xin, Xiangpeng |
|
2020
|
Equivalent transformations, bifurcations and exact solutions to a class of variable-coefficient PDE. Zbl 1475.35121
Liu, Hanze; Zhang, Lijun; Li, Xuexia; Chang, Lina |
|
2020
|
Complete symmetry classifications of the generalized nonlinear second-order equation and partial difference schemes. Zbl 1280.35030
Liu, Hanze |
|
2013
|
Darboux transformation and exact solutions of the variable coefficient nonlocal Newell-Whitehead equation. Zbl 1491.35393
Hu, Yuru; Zhang, Feng; Xin, Xiangpeng; Liu, Hanze |
|
2022
|
Symmetry reductions, variable transformations and exact solutions to the second-order PDEs. Zbl 1267.37098
Liu, Hanze; Liu, Lei |
|
2011
|
Analytic solutions of a first-order iterative differential equation \(x'(z)=x(p(z)+bx(z))\). Zbl 1101.34047
Qiu, Fang; Liu, Hanze |
|
2006
|
Analytic invariant curves for a planar mapping. Zbl 1151.39018
Li, Wenrong; Liu, Hanze; Yin, Li |
|
2008
|
The improved \(\exp\left(- \Phi \left(\xi\right)\right)\)-expansion method and new exact solutions of nonlinear evolution equations in mathematical physics. Zbl 1418.35064
Chen, Guiying; Xin, Xiangpeng; Liu, Hanze |
|
2019
|
Nonlocal symmetries and exact solutions of a variable coefficient AKNS system. Zbl 1477.76061
Xin, Xiangpeng; Zhang, Lihua; Xia, Yarong; Liu, Hanze |
|
2020
|
Symmetry analysis and exact solutions to the space-dependent coefficient PDEs in finance. Zbl 1304.35038
Liu, Hanze |
|
2013
|
Painlevé test, complete symmetry classifications and exact solutions to R-D types of equations. Zbl 1456.37083
Liu, Hanze; Bai, Cheng-Lin; Xin, Xiangpeng |
|
2021
|
Lie symmetry analysis, exact solutions, conservation laws of variable-coefficients Calogero-Bogoyavlenskii-Schiff equation. Zbl 1532.35021
Zhang, Feng; Hu, Yuru; Xin, Xiangpeng; Liu, Hanze |
|
2022
|
Painlevé analysis and analytic solutions to the Riccati types of equations. Zbl 1341.34014
Liu, Hanze |
|
2015
|
Symmetries, integrability and exact solutions to the \((2+1)\)-dimensional Benney types of equations. Zbl 1345.35085
Liu, Han-Ze; Xin, Xiang-Peng |
|
2016
|
Darboux transformation, exact solutions of the variable coefficient nonlocal Fokas-Lenells equation. Zbl 07906567
Zhang, Feng; Hu, Yuru; Xin, Xiangpeng; Liu, Hanze |
|
2022
|
Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations. Zbl 1492.35322
Xin, Xiangpeng; Xia, Yarong; Zhang, Lihua; Liu, Hanze |
|
2022
|
Darboux transformation, soliton solutions of the variable coefficient nonlocal modified Korteweg-de Vries equation. Zbl 1499.35532
Zhang, Feng; Hu, Yuru; Xin, Xiangpeng; Liu, Hanze |
|
2022
|
Darboux transformation and exact solutions of the variable coefficient nonlocal Newell-Whitehead equation. Zbl 1491.35393
Hu, Yuru; Zhang, Feng; Xin, Xiangpeng; Liu, Hanze |
|
2022
|
Lie symmetry analysis, exact solutions, conservation laws of variable-coefficients Calogero-Bogoyavlenskii-Schiff equation. Zbl 1532.35021
Zhang, Feng; Hu, Yuru; Xin, Xiangpeng; Liu, Hanze |
|
2022
|
Darboux transformation, exact solutions of the variable coefficient nonlocal Fokas-Lenells equation. Zbl 07906567
Zhang, Feng; Hu, Yuru; Xin, Xiangpeng; Liu, Hanze |
|
2022
|
Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations. Zbl 1479.35829
Xin, Xiangpeng; Liu, Yutang; Xia, Yarong; Liu, Hanze |
|
2021
|
Improved equivalent transformation method for reduction NLPDEs with time-dependent variables. Zbl 1475.35009
Liu, Hanze; Bai, Cheng-Lin; Xin, Xiangpeng |
|
2021
|
Painlevé test, complete symmetry classifications and exact solutions to R-D types of equations. Zbl 1456.37083
Liu, Hanze; Bai, Cheng-Lin; Xin, Xiangpeng |
|
2021
|
Darboux transformation of the variable coefficient nonlocal equation. Zbl 1442.35432
Xin, Xiangpeng; Xia, Yarong; Liu, Hanze; Zhang, Linlin |
|
2020
|
Symmetry reductions, dynamical behavior and exact explicit solutions to a class of nonlinear shallow water wave equation. Zbl 1437.37101
Chang, Lina; Liu, Hanze; Zhang, Lijun |
|
2020
|
Equivalent transformations and exact solutions to the generalized cylindrical KdV type of equation. Zbl 1479.37072
Liu, Hanze; Bai, Cheng-Lin; Xin, Xiangpeng; Li, Xinyue |
|
2020
|
Lie symmetry analysis, bifurcations and exact solutions for the (2+1)-dimensional dissipative long wave system. Zbl 1484.37084
Chang, Lina; Liu, Hanze; Xin, Xiangpeng |
|
2020
|
Equivalent transformations, bifurcations and exact solutions to a class of variable-coefficient PDE. Zbl 1475.35121
Liu, Hanze; Zhang, Lijun; Li, Xuexia; Chang, Lina |
|
2020
|
Nonlocal symmetries and exact solutions of a variable coefficient AKNS system. Zbl 1477.76061
Xin, Xiangpeng; Zhang, Lihua; Xia, Yarong; Liu, Hanze |
|
2020
|
High order nonlocal symmetries and exact interaction solutions of the variable coefficient KdV equation. Zbl 1407.35013
Xin, Xiangpeng; Liu, Hanze; Zhang, Linlin; Wang, Zenggui |
|
2019
|
Nonlocal symmetries and exact solutions of the \((2+1)\)-dimensional generalized variable coefficient shallow water wave equation. Zbl 1412.35020
Xin, Xiangpeng; Zhang, Linlin; Xia, Yarong; Liu, Hanze |
|
2019
|
CK transformations, symmetries, exact solutions and conservation laws of the generalized variable-coefficient KdV types of equations. Zbl 1405.37080
Liu, Hanze; Sang, Bo; Xin, Xiangpeng; Liu, Xiqiang |
|
2019
|
A novel Lie group classification method for generalized cylindrical KdV type of equation: exact solutions and conservation laws. Zbl 1428.37068
Liu, Hanze; Bai, Cheng-Lin; Xin, Xiangpeng; Zhang, Lijun |
|
2019
|
The improved \(\exp\left(- \Phi \left(\xi\right)\right)\)-expansion method and new exact solutions of nonlinear evolution equations in mathematical physics. Zbl 1418.35064
Chen, Guiying; Xin, Xiangpeng; Liu, Hanze |
|
2019
|
Invariant subspace classification and exact solutions to the generalized nonlinear D-C equation. Zbl 1524.35702
Liu, Hanze |
|
2018
|
Symmetries, symmetry reductions and exact solutions to the generalized nonlinear fractional wave equations. Zbl 1451.35254
Liu, Han-Ze; Wang, Zeng-Gui; Xin, Xiang-Peng; Liu, Xi-Qiang |
|
2018
|
Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations. Zbl 1375.37166
Liu, Hanze; Yue, Chao |
|
2017
|
Bäcklund transformation classification, integrability and exact solutions to the generalized Burgers’-KdV equation. Zbl 1465.37079
Liu, Hanze; Xin, Xiangpeng; Wang, Zenggui; Liu, Xiqiang |
|
2017
|
Generalized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equations. Zbl 1470.35017
Liu, Hanze |
|
2016
|
Painlevé analysis, \({\Phi}\)-integrable and exact solutions to the \((3+1)\)-dimensional nonlinear evolution equations. Zbl 1349.37067
Liu, Hanze; Liu, Xiqiang; Wang, Zenggui; Xin, Xiangpeng |
|
2016
|
Symmetries, integrability and exact solutions to the \((2+1)\)-dimensional Benney types of equations. Zbl 1345.35085
Liu, Han-Ze; Xin, Xiang-Peng |
|
2016
|
Painlevé analysis, complete Lie group classifications and exact solutions to the time-dependent coefficients gardner types of equations. Zbl 1345.37073
Liu, Hanze; Li, Jibin |
|
2015
|
Painlevé test, generalized symmetries, Bäcklund transformations and exact solutions to the third-order Burgers’ equations. Zbl 1315.35190
Liu, Hanze |
|
2015
|
The unified group classification method for the generalized nonlinear wave equation and its partial difference schemes. Zbl 1328.39010
Liu, Hanze |
|
2015
|
Painlevé analysis and analytic solutions to the Riccati types of equations. Zbl 1341.34014
Liu, Hanze |
|
2015
|
Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations. Zbl 1302.37034
Liu, Hanze; Li, Jibin |
|
2014
|
Complete group classifications and symmetry reductions of the fractional fifth-order KdV types of equations. Zbl 1277.35305
Liu, Hanze |
|
2013
|
Symmetry reductions and exact solutions to the systems of carbon nanotubes conveying fluid. Zbl 1266.37041
Liu, Hanze; Geng, Yixiang |
|
2013
|
The recursion operator method for generalized symmetries and Bäcklund transformations of the Burgers’ equations. Zbl 1348.37111
Liu, Hanze; Li, Jibin; Liu, Lei |
|
2013
|
Complete symmetry classifications of the generalized nonlinear second-order equation and partial difference schemes. Zbl 1280.35030
Liu, Hanze |
|
2013
|
Symmetry analysis and exact solutions to the space-dependent coefficient PDEs in finance. Zbl 1304.35038
Liu, Hanze |
|
2013
|
Complete group classification and exact solutions to the generalized short pulse equation. Zbl 1257.35019
Liu, Hanze; Li, Jibin.; Liu, Lei |
|
2012
|
Symmetry and conservation law classification and exact solutions to the generalized KdV types of equations. Zbl 1258.35177
Liu, Hanze; Li, Jibin; Liu, Lei |
|
2012
|
Group classifications, symmetry reductions and exact solutions to the nonlinear elastic rod equations. Zbl 1241.35198
Liu, Hanze; Li, J.; Liu, Lei |
|
2012
|
Lie symmetry analysis, Bäcklund transformations and exact solutions to (2+1)-dimensional Burgers types of equations. Zbl 1247.35106
Liu, Han-Ze; Li, Ji-Bin; Liu, Lei |
|
2012
|
Group classifications, optimal systems and exact solutions to the generalized Thomas equations. Zbl 1246.35196
Liu, Hanze; Li, Jibin; Liu, Lei; Wei, Yuan |
|
2011
|
Conservation law classification and integrability of generalized nonlinear second-order equation. Zbl 1247.35068
Liu, Han-Ze; Li, Ji-Bin; Liu, Lei |
|
2011
|
Symmetry reductions, variable transformations and exact solutions to the second-order PDEs. Zbl 1267.37098
Liu, Hanze; Liu, Lei |
|
2011
|
Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations. Zbl 1192.35011
Liu, Hanze; Li, Jibin; Liu, Lei |
|
2010
|
Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients gardner equations. Zbl 1183.35236
Liu, Hanze; Li, Jibin; Liu, Lei |
|
2010
|
Lie symmetry analysis and exact solutions for the extended mKdV equation. Zbl 1223.37079
Liu, Hanze; Li, Jibin |
|
2010
|
Lie symmetries, conservation laws and exact solutions for two rod equations. Zbl 1276.35013
Liu, Hanze; Li, Jibin |
|
2010
|
Lie symmetry analysis and exact explicit solutions for general Burgers’ equation. Zbl 1166.35033
Liu, Hanze; Li, Jibin; Zhang, Quanxin |
|
2009
|
Lie symmetry analysis and exact solutions for the short pulse equation. Zbl 1244.35003
Liu, Hanze; Li, Jibin |
|
2009
|
Lie group classifications and exact solutions for two variable-coefficient equations. Zbl 1232.35173
Liu, Hanze; Li, Jibin; Liu, Lei |
|
2009
|
Exact periodic wave solutions for the hKdV equation. Zbl 1162.35312
Liu, Hanze; Li, Jibin; Chen, Fengjuan |
|
2009
|
Exact and explicit analytic solutions of an extended Jabotinsky functional differential equation. Zbl 1270.34200
Li, Jibin; Liu, Hanze; Qiu, Fang |
|
2009
|
The exact analytic solutions of a nonlinear differential iterative equation. Zbl 1155.34339
Liu, Hanze; Li, Wenrong |
|
2008
|
Analytic invariant curves for a planar mapping. Zbl 1151.39018
Li, Wenrong; Liu, Hanze; Yin, Li |
|
2008
|
Discussion on the analytic solutions of the second-order iterated differential equation. Zbl 1131.34048
Liu, Hanze; Li, Wenrong |
|
2006
|
Analytic solutions of a first-order iterative differential equation \(x'(z)=x(p(z)+bx(z))\). Zbl 1101.34047
Qiu, Fang; Liu, Hanze |
|
2006
|
Analytic solutions of an iterative equation with first-order derivative. Zbl 1090.34600
Liu, Hanze; Qiu, Fang |
|
2005
|