# zbMATH — the first resource for mathematics

## Dai, Hui-Hui

Compute Distance To:
 Author ID: dai.hui-hui Published as: Dai, H. H.; Dai, H.-H.; Dai, Hui Hui; Dai, Hui-Hui; Dai, Hui-hui Homepage: https://www.cityu.edu.hk/ma/people/profile/daihh.htm
 Documents Indexed: 103 Publications since 1988, including 3 Books
all top 5

#### Co-Authors

 0 single-authored 8 Wang, Fanfan 8 Wang, Jiong 5 Cai, Zongxi 5 Huo, Yi 5 Jeffrey, Alan P. 4 Song, Zilong 3 Chen, Xiaoyi 3 Peng, Xiaochun 2 Bi, Qinsheng 2 Han, Deren 2 Hill, James Murray 2 Huang, Debin 2 Li, Yishen 2 Pruchnicki, Erick 2 Qi, Liqun 2 Su, Ting 2 Wang, Yuesheng 2 Yu, Guilan 2 Zhao, Xiaohua 1 Chen, Zhen 1 Dai, Shiqiang 1 Fan, Xiaojun 1 Hao, Yanhong 1 Kaplunov, Julius D. 1 Li, Yuanyou 1 Liu, Zengrong 1 Padukka, Nilmini 1 Prikazchikov, Danila A. 1 Salupere, Andrus 1 Steigmann, David J. 1 Steinmann, Paul 1 Vallikivi, Margit 1 Xu, Jian
all top 5

#### Serials

 7 Wave Motion 6 Mathematics and Mechanics of Solids 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Journal of Elasticity 3 International Journal of Engineering Science 3 Journal of the Mechanics and Physics of Solids 2 IMA Journal of Applied Mathematics 2 International Journal of Non-Linear Mechanics 2 Physics Letters. A 2 SIAM Journal on Applied Mathematics 2 Analysis and Applications (Singapore) 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Meccanica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Journal of Physics A: Mathematical and General 1 Journal of the Physical Society of Japan 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Acta Mechanica Sinica 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Proceedings of the Estonian Academy of Sciences
all top 5

#### Fields

 46 Mechanics of deformable solids (74-XX) 12 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 6 Dynamical systems and ergodic theory (37-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

74 Publications have been cited 791 times in 576 Documents Cited by Year
Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod. Zbl 0910.73036
Dai, H.-H.
1998
Solitary shock waves and other travelling waves in a general compressible hyperelastic rod. Zbl 1004.74046
Dai, Hui-Hui; Huo, Yi
2000
Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation. Zbl 0946.35082
Dai, Hui-Hui; Pavlov, Maxim
1998
Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods. Zbl 1074.74541
Dai, H.-H.
1998
Conditions for strong ellipticity and M-eigenvalues. Zbl 1233.74004
Qi, Liqun; Dai, Hui-Hui; Han, Deren
2009
Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006
Han, Deren; Dai, H. H.; Qi, Liqun
2009
Buckling analysis of Euler-Bernoulli beams using Eringen’s two-phase nonlocal model. Zbl 1423.74360
Zhu, Xiaowu; Wang, Yuanbin; Dai, Hui-Hui
2017
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
Handbook of mathematical formulas and integrals. 4th ed. Zbl 1139.00004
Jeffrey, Alan; Dai, Hui-Hui
2008
Asymptotically approximate model equations for weakly nonlinear long waves in compressible elastic rods and their comparisons with other simplified model equations. Zbl 1167.74464
Dai, Hui-Hui; Fan, Xiaojun
2004
Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods. Zbl 1205.74081
Dai, H.-H.; Huo, Y.
2002
Phase transitions in a slender cylinder composed of an incompressible elastic material. I: Asymptotic model equation. Zbl 1149.74384
Dai, Hui-Hui; Cai, Zongxi
2006
Solitary waves in an inhomogeneous rod composed of a general hyperelastic material. Zbl 1120.76304
Dai, Hui-Hui; Huo, Yi
2002
A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations. Zbl 1196.35182
Fan, Engui; Dai, H. H.
2003
A long-wave model for the surface elastic wave in a coated half-space. Zbl 1211.74126
Dai, H.-H.; Kaplunov, J.; Prikazchikov, D. A.
2010
Algebro-geometric constructions of the discrete Ablowitz-Ladik flows and applications. Zbl 1062.37092
Geng, Xianguo; Dai, H. H.; Cao, Cewen
2003
Invariant tori and chaotic streamlines in the ABC flow. Zbl 0959.76015
Huang, De-Bin; Zhao, Xiao-Hua; Dai, Hui-Hui
1998
Nonlinear axisymmetric waves in compressible hyperelastic rods: Long finite amplitude waves. Zbl 0788.73025
Cohen, H.; Dai, H.-H.
1993
Phase transitions in a slender cylinder composed of an incompressible elastic material. II: Analytical solutions for two boundary-value problems. Zbl 1149.74382
Cai, Zongxi; Dai, Hui-Hui
2006
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
Phase transitions induced by extension in a slender SMA cylinder: analytical solutions for the hysteresis loop based on a quasi-3D continuum model. Zbl 1452.74093
Wang, Jiong; Dai, Hui-Hui
2010
Asymptotic bifurcation solutions for compressions of a clamped nonlinearly elastic rectangle: transition region and barrelling to a corner-like profile. Zbl 1429.74020
Dai, Hui-Hui; Wang, Fan-Fan
2010
An analytical study on the geometrical size effect on phase transitions in a slender compressible hyperelastic cylinder. Zbl 1203.74065
Dai, Hui-Hui; Wang, Jiong
2009
Blowup of solutions to generalized Riemann problem for quasilinear hyperbolic systems of conservation laws. Zbl 1067.35046
Dai, Hui-Hui; Kong, De-Xing
2004
Algebro-geometric solutions of $$(2+1)$$-dimensional coupled modified Kadomtsev-Petviashvili equations. Zbl 0991.37045
Geng, Xianguo; Dai, H. H.
2000
On constructing the analytical solutions for localizations in a slender cylinder composed of an incompressible hyperelastic material. Zbl 1169.74343
Dai, Hui-Hui; Hao, Yanhong; Chen, Zhen
2008
Head-on collision between two solitary waves in a compressible Mooney-Rivlin elastic rod. Zbl 1074.74586
Dai, Hui-Hui; Dai, Shiqiang; Huo, Yi
2000
Nonlinear travelling waves in a rod composed of a modified Mooney-Rivlin material. I: Bifurcation of critical points and the non-singular case. Zbl 0958.74030
Dai, Hui-Hui; Zhao, Xiaohua
1999
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
The interaction of the $$\omega$$-soliton and $$\omega$$-cuspon of the Camassa-Holm equation. Zbl 1119.35073
Dai, Hui-Hui; Li, Yishen
2005
Singular dynamics with application to singular waves in physical problems. Zbl 1063.37020
Dai, Hui-Hui; Huang, Debin; Liu, Zengrong
2004
Non-existence of one-dimensional stress problems in solid-solid phase transitions and uniqueness conditions for incompressible phase-transforming materials. Zbl 1149.74383
Dai, Hui-Hui
2004
Decomposition of a $$2 + 1$$-dimensional Volterra type lattice and its quasi-periodic solutions. Zbl 1069.37061
Dai, H. H.; Geng, Xianguo
2003
New finite-dimensional completely integrable systems associated with the sine-Gordon equation. Zbl 0942.37047
Dai, Hui-Hui; Geng, Xianguo
1999
An analytical study on the instability phenomena during the phase transitions in a thin strip under uniaxial tension. Zbl 1244.74056
Dai, Hui-Hui; Cai, Zongxi
2012
Elliptic-spline solutions for large localizations in a circular Blatz-Ko cylinder due to geometric softening. Zbl 1319.74004
Dai, Hui-Hui; Peng, Xiaochun
2012
Asymptotic bifurcation analysis and post-buckling for uniaxial compression of a thin incompressible hyperelastic rectangle. Zbl 1425.74090
Wang, Fan-Fan; Dai, Hui-Hui
2010
Exact solutions for the large axially symmetric deformations of a neo-Hookean rod subjected to static loads. Zbl 1009.74032
Dai, Hui-Hui; Bi, Qinsheng
2001
On a consistent dynamic finite-strain plate theory and its linearization. Zbl 1349.74248
Song, Zilong; Dai, Hui-Hui
2016
Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions. Zbl 1423.74725
Song, Zilong; Dai, Hui-Hui
2015
Swelling and instability of a gel annulus. Zbl 1345.74015
Chen, Xiaoyi; Dai, Hui-Hui
2015
Analytical solutions for the post-buckling states of an incompressible hyperelastic layer. Zbl 1416.74034
Dai, Hui-Hui; Wang, Fanfan
2012
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
On constructing the unique solution for the necking in a hyperelastic rod. Zbl 1124.74028
Dai, Hui-Hui; Bi, Qinsheng
2006
Transmission of elastic waves through a frictional contact interface between two anisotropic dissimilar media. Zbl 1163.74459
Wang, Yue-Sheng; Yu, Gui-Lan; Dai, Hui-Hui
2003
Finite-dimensional integrable systems through the decomposition of a modified Boussinesq equation. Zbl 1059.37039
Dai, H.-H.; Geng, Xianguo
2003
Decomposition of certain nonlinear evolution equations and their quasi-periodic solutions. Zbl 1162.37324
Dai, H.-H.; Geng, Xianguo
2002
On the decomposition of the modified Kadomtsev-Petviashvili equation and explicit solutions. Zbl 0972.35133
Dai, H. H.; Geng, Xianguo
2000
Exact solutions of a variable-coefficient KdV equation arising in a shallow water. Zbl 0944.35079
Dai, Hui-Hui
1999
Uniform asymptotic analysis for waves in an incompressible elastic rod. II: Disturbances superimposed on a pre-stressed state. Zbl 0930.74029
Dai, Hui-Hui; Cai, Zongxi
1999
On an asymptotic expansion of Fourier integrals. Zbl 0752.42006
Dai, H. H.; Naylor, D.
1992
On the application of a generalized version of the dressing method to the integration of variable coefficient KdV equations. Zbl 0748.35040
Jeffrey, A.; Dai, H. H.
1990
Compression of a hyperelastic layer-substrate structure: transitions between buckling and surface modes. Zbl 1423.74528
Liu, Yang; Dai, Hui-Hui
2014
Analytical study on the stress-induced phase or variant transformation in slender shape memory alloy samples. Zbl 1293.74339
Wang, Jiong; Steinmann, Paul; Dai, Hui-Hui
2013
Mathematical theory and analytical solutions for the wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1371.74043
Huang, Shou-Jun; Dai, Hui-Hui; Chen, Zhen; Kong, De-Xing
2012
Numerical simulation of propagation of solitary deformation waves in a compressible hyperelastic rod. Zbl 1348.74182
Vallikivi, Margit; Salupere, Andrus; Dai, Hui-Hui
2012
The generalized dressing method with applications to the integration of variable-coefficient Toda equations. Zbl 1196.35181
Dai, Hui-Hui; Su, Ting
2010
Bifurcation to a corner-like formation in a slender nonlinearly elastic cylinder: Asymptotic solution and mechanism. Zbl 1143.35380
Dai, Hui-Hui; Wang, Fan-Fan
2008
A uniform asymptotic expansion for the shear-wave front in a layer. Zbl 0926.74043
Dai, H.-H.; Wong, R.
1994
Periodic-wave solutions of the two-dimensional Toda lattice equation by a direct method. Zbl 1419.35179
Ting, Su; Dai, Hui-hui; Ding, Guo-hua
2016
A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1349.74325
Jiang, Jinfeng; Xu, Yan; Dai, Hui-Hui
2014
Instabilities induced by phase transformation fronts coalescence during the phase transitions in a thin SMA layer: mechanism and analytical descriptions. Zbl 1231.74344
Dai, Hui-Hui; Wang, Jiong
2010
Multi-soliton and multi-cuspon solutions of a Camassa-Holm hierarchy and their interactions. Zbl 1155.35080
Dai, Hui-Hui; Li, Yishen; Su, Ting
2009
On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: asymptotic solution and exponentially small error. Zbl 1213.74050
Dai, Hui-Hui; Wang, Fan-Fan
2007
Corner instabilities in a slender nonlinearly elastic cylinder: analytical solutions and formation mechanism. Zbl 1116.74016
Dai, Hui-Hui; Wang, Fan-Fan
2007
Asymptotic axially symmetric deformations for perfectly elastic neo-Hookean and Mooney materials. Zbl 1168.74014
Hill, James M.; Padukka, Nilmini; Dai, Hui-Hui
2007
Nonlinear dispersive waves in a circular rod composed of a Mooney-Rivlin material. Zbl 1013.74042
Dai, Hui-Hui
2001
Nonlocal elasticity and dislocation image force due to cracks. Zbl 0982.74012
Pan, K.-L.; Dai, H.-H.
2001
Uniform asymptotic analysis for transient waves in a pre-stressed compressible hyperelastic rod. Zbl 0982.74038
Dai, H.-H.; Cai, Z.
2000
New finite-dimensional completely integrable systems associated with the sine-Gordon equation. Zbl 0968.37018
Dai, Hui-Hui; Geng, Xianguo
1999
Uniform asymptotic analysis for waves in an incompressible elastic rod. I: Disturbances superimposed on an initially stress-free state. Zbl 0911.73034
Dai, H.-H.
1997
On the general asymptotic expansions of $$K_ \nu{}$$-transforms. Zbl 0788.41018
Dai, H. H.
1992
On the reflection of a solitary wave at a sloping beach: Analytical results. Zbl 0662.76027
Jeffrey, A.; Dai, H. H.
1988
Buckling analysis of Euler-Bernoulli beams using Eringen’s two-phase nonlocal model. Zbl 1423.74360
Zhu, Xiaowu; Wang, Yuanbin; Dai, Hui-Hui
2017
On a consistent dynamic finite-strain plate theory and its linearization. Zbl 1349.74248
Song, Zilong; Dai, Hui-Hui
2016
Periodic-wave solutions of the two-dimensional Toda lattice equation by a direct method. Zbl 1419.35179
Ting, Su; Dai, Hui-hui; Ding, Guo-hua
2016
Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions. Zbl 1423.74725
Song, Zilong; Dai, Hui-Hui
2015
Swelling and instability of a gel annulus. Zbl 1345.74015
Chen, Xiaoyi; Dai, Hui-Hui
2015
Compression of a hyperelastic layer-substrate structure: transitions between buckling and surface modes. Zbl 1423.74528
Liu, Yang; Dai, Hui-Hui
2014
A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1349.74325
Jiang, Jinfeng; Xu, Yan; Dai, Hui-Hui
2014
Analytical study on the stress-induced phase or variant transformation in slender shape memory alloy samples. Zbl 1293.74339
Wang, Jiong; Steinmann, Paul; Dai, Hui-Hui
2013
An analytical study on the instability phenomena during the phase transitions in a thin strip under uniaxial tension. Zbl 1244.74056
Dai, Hui-Hui; Cai, Zongxi
2012
Elliptic-spline solutions for large localizations in a circular Blatz-Ko cylinder due to geometric softening. Zbl 1319.74004
Dai, Hui-Hui; Peng, Xiaochun
2012
Analytical solutions for the post-buckling states of an incompressible hyperelastic layer. Zbl 1416.74034
Dai, Hui-Hui; Wang, Fanfan
2012
Mathematical theory and analytical solutions for the wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1371.74043
Huang, Shou-Jun; Dai, Hui-Hui; Chen, Zhen; Kong, De-Xing
2012
Numerical simulation of propagation of solitary deformation waves in a compressible hyperelastic rod. Zbl 1348.74182
Vallikivi, Margit; Salupere, Andrus; Dai, Hui-Hui
2012
A long-wave model for the surface elastic wave in a coated half-space. Zbl 1211.74126
Dai, H.-H.; Kaplunov, J.; Prikazchikov, D. A.
2010
Phase transitions induced by extension in a slender SMA cylinder: analytical solutions for the hysteresis loop based on a quasi-3D continuum model. Zbl 1452.74093
Wang, Jiong; Dai, Hui-Hui
2010
Asymptotic bifurcation solutions for compressions of a clamped nonlinearly elastic rectangle: transition region and barrelling to a corner-like profile. Zbl 1429.74020
Dai, Hui-Hui; Wang, Fan-Fan
2010
Asymptotic bifurcation analysis and post-buckling for uniaxial compression of a thin incompressible hyperelastic rectangle. Zbl 1425.74090
Wang, Fan-Fan; Dai, Hui-Hui
2010
The generalized dressing method with applications to the integration of variable-coefficient Toda equations. Zbl 1196.35181
Dai, Hui-Hui; Su, Ting
2010
Instabilities induced by phase transformation fronts coalescence during the phase transitions in a thin SMA layer: mechanism and analytical descriptions. Zbl 1231.74344
Dai, Hui-Hui; Wang, Jiong
2010
Conditions for strong ellipticity and M-eigenvalues. Zbl 1233.74004
Qi, Liqun; Dai, Hui-Hui; Han, Deren
2009
Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006
Han, Deren; Dai, H. H.; Qi, Liqun
2009
An analytical study on the geometrical size effect on phase transitions in a slender compressible hyperelastic cylinder. Zbl 1203.74065
Dai, Hui-Hui; Wang, Jiong
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
Multi-soliton and multi-cuspon solutions of a Camassa-Holm hierarchy and their interactions. Zbl 1155.35080
Dai, Hui-Hui; Li, Yishen; Su, Ting
2009
Handbook of mathematical formulas and integrals. 4th ed. Zbl 1139.00004
Jeffrey, Alan; Dai, Hui-Hui
2008
On constructing the analytical solutions for localizations in a slender cylinder composed of an incompressible hyperelastic material. Zbl 1169.74343
Dai, Hui-Hui; Hao, Yanhong; Chen, Zhen
2008
Bifurcation to a corner-like formation in a slender nonlinearly elastic cylinder: Asymptotic solution and mechanism. Zbl 1143.35380
Dai, Hui-Hui; Wang, Fan-Fan
2008
On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: asymptotic solution and exponentially small error. Zbl 1213.74050
Dai, Hui-Hui; Wang, Fan-Fan
2007
Corner instabilities in a slender nonlinearly elastic cylinder: analytical solutions and formation mechanism. Zbl 1116.74016
Dai, Hui-Hui; Wang, Fan-Fan
2007
Asymptotic axially symmetric deformations for perfectly elastic neo-Hookean and Mooney materials. Zbl 1168.74014
Hill, James M.; Padukka, Nilmini; Dai, Hui-Hui
2007
Phase transitions in a slender cylinder composed of an incompressible elastic material. I: Asymptotic model equation. Zbl 1149.74384
Dai, Hui-Hui; Cai, Zongxi
2006
Phase transitions in a slender cylinder composed of an incompressible elastic material. II: Analytical solutions for two boundary-value problems. Zbl 1149.74382
Cai, Zongxi; Dai, Hui-Hui
2006
On constructing the unique solution for the necking in a hyperelastic rod. Zbl 1124.74028
Dai, Hui-Hui; Bi, Qinsheng
2006
The interaction of the $$\omega$$-soliton and $$\omega$$-cuspon of the Camassa-Holm equation. Zbl 1119.35073
Dai, Hui-Hui; Li, Yishen
2005
Asymptotically approximate model equations for weakly nonlinear long waves in compressible elastic rods and their comparisons with other simplified model equations. Zbl 1167.74464
Dai, Hui-Hui; Fan, Xiaojun
2004
Blowup of solutions to generalized Riemann problem for quasilinear hyperbolic systems of conservation laws. Zbl 1067.35046
Dai, Hui-Hui; Kong, De-Xing
2004
Singular dynamics with application to singular waves in physical problems. Zbl 1063.37020
Dai, Hui-Hui; Huang, Debin; Liu, Zengrong
2004
Non-existence of one-dimensional stress problems in solid-solid phase transitions and uniqueness conditions for incompressible phase-transforming materials. Zbl 1149.74383
Dai, Hui-Hui
2004
A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations. Zbl 1196.35182
Fan, Engui; Dai, H. H.
2003
Algebro-geometric constructions of the discrete Ablowitz-Ladik flows and applications. Zbl 1062.37092
Geng, Xianguo; Dai, H. H.; Cao, Cewen
2003
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
Decomposition of a $$2 + 1$$-dimensional Volterra type lattice and its quasi-periodic solutions. Zbl 1069.37061
Dai, H. H.; Geng, Xianguo
2003
Transmission of elastic waves through a frictional contact interface between two anisotropic dissimilar media. Zbl 1163.74459
Wang, Yue-Sheng; Yu, Gui-Lan; Dai, Hui-Hui
2003
Finite-dimensional integrable systems through the decomposition of a modified Boussinesq equation. Zbl 1059.37039
Dai, H.-H.; Geng, Xianguo
2003
Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods. Zbl 1205.74081
Dai, H.-H.; Huo, Y.
2002
Solitary waves in an inhomogeneous rod composed of a general hyperelastic material. Zbl 1120.76304
Dai, Hui-Hui; Huo, Yi
2002
Decomposition of certain nonlinear evolution equations and their quasi-periodic solutions. Zbl 1162.37324
Dai, H.-H.; Geng, Xianguo
2002
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
Exact solutions for the large axially symmetric deformations of a neo-Hookean rod subjected to static loads. Zbl 1009.74032
Dai, Hui-Hui; Bi, Qinsheng
2001
Nonlinear dispersive waves in a circular rod composed of a Mooney-Rivlin material. Zbl 1013.74042
Dai, Hui-Hui
2001
Nonlocal elasticity and dislocation image force due to cracks. Zbl 0982.74012
Pan, K.-L.; Dai, H.-H.
2001
Solitary shock waves and other travelling waves in a general compressible hyperelastic rod. Zbl 1004.74046
Dai, Hui-Hui; Huo, Yi
2000
Algebro-geometric solutions of $$(2+1)$$-dimensional coupled modified Kadomtsev-Petviashvili equations. Zbl 0991.37045
Geng, Xianguo; Dai, H. H.
2000
Head-on collision between two solitary waves in a compressible Mooney-Rivlin elastic rod. Zbl 1074.74586
Dai, Hui-Hui; Dai, Shiqiang; Huo, Yi
2000
On the decomposition of the modified Kadomtsev-Petviashvili equation and explicit solutions. Zbl 0972.35133
Dai, H. H.; Geng, Xianguo
2000
Uniform asymptotic analysis for transient waves in a pre-stressed compressible hyperelastic rod. Zbl 0982.74038
Dai, H.-H.; Cai, Z.
2000
Nonlinear travelling waves in a rod composed of a modified Mooney-Rivlin material. I: Bifurcation of critical points and the non-singular case. Zbl 0958.74030
Dai, Hui-Hui; Zhao, Xiaohua
1999
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
New finite-dimensional completely integrable systems associated with the sine-Gordon equation. Zbl 0942.37047
Dai, Hui-Hui; Geng, Xianguo
1999
Exact solutions of a variable-coefficient KdV equation arising in a shallow water. Zbl 0944.35079
Dai, Hui-Hui
1999
Uniform asymptotic analysis for waves in an incompressible elastic rod. II: Disturbances superimposed on a pre-stressed state. Zbl 0930.74029
Dai, Hui-Hui; Cai, Zongxi
1999
New finite-dimensional completely integrable systems associated with the sine-Gordon equation. Zbl 0968.37018
Dai, Hui-Hui; Geng, Xianguo
1999
Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod. Zbl 0910.73036
Dai, H.-H.
1998
Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation. Zbl 0946.35082
Dai, Hui-Hui; Pavlov, Maxim
1998
Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods. Zbl 1074.74541
Dai, H.-H.
1998
Invariant tori and chaotic streamlines in the ABC flow. Zbl 0959.76015
Huang, De-Bin; Zhao, Xiao-Hua; Dai, Hui-Hui
1998
Uniform asymptotic analysis for waves in an incompressible elastic rod. I: Disturbances superimposed on an initially stress-free state. Zbl 0911.73034
Dai, H.-H.
1997
A uniform asymptotic expansion for the shear-wave front in a layer. Zbl 0926.74043
Dai, H.-H.; Wong, R.
1994
Nonlinear axisymmetric waves in compressible hyperelastic rods: Long finite amplitude waves. Zbl 0788.73025
Cohen, H.; Dai, H.-H.
1993
On an asymptotic expansion of Fourier integrals. Zbl 0752.42006
Dai, H. H.; Naylor, D.
1992
On the general asymptotic expansions of $$K_ \nu{}$$-transforms. Zbl 0788.41018
Dai, H. H.
1992
On the application of a generalized version of the dressing method to the integration of variable coefficient KdV equations. Zbl 0748.35040
Jeffrey, A.; Dai, H. H.
1990
On the reflection of a solitary wave at a sloping beach: Analytical results. Zbl 0662.76027
Jeffrey, A.; Dai, H. H.
1988
all top 5

#### Cited by 736 Authors

 37 Yin, Zhaoyang 29 Dai, Hui-Hui 18 Geng, Xianguo 15 Tian, Lixin 13 Liu, Yue 11 Dai, Huihui 11 Guan, Chunxia 11 Liu, Zhengrong 11 Qi, Liqun 11 Shen, Chunyu 10 Barretta, Raffaele 10 Yan, Kai 9 Qiao, Zhijun 8 Marotti de Sciarra, Francesco 8 Tian, Bo 8 Wang, Jiong 8 Zhang, Yufeng 7 Coclite, Giuseppe Maria 7 Fan, Engui 7 Liu, Xingxing 7 Prikazchikov, Danila A. 7 Zhang, Shuanghu 6 Kaplunov, Julius D. 6 Kong, Dexing 6 Long, Yao 6 Luciano, Raimondo 6 Qu, Changzheng 6 Shao, Zhiqiang 6 Su, Ting 6 Wang, Fanfan 6 Wei, Long 6 Zhu, Min 5 Bi, Qinsheng 5 Chen, Jinbing 5 Gao, Anna 5 Guo, Fei 5 Moon, Byungsoo 5 Xu, Xixiang 5 Yang, Qingzhi 5 Yang, Shaojie 5 Zhang, Hongqing 5 Zong, Xiju 4 Chen, Robin Ming 4 Constantin, Adrian 4 Escher, Joachim 4 Faghidian, S. Ali 4 Fu, Yibin 4 Gao, Liang 4 Gao, Yitian 4 Guo, Boling 4 Holden, Helge 4 Huo, Yi 4 Lai, Shaoyong 4 Lenells, Jonatan 4 Li, Chaoqian 4 Li, Juan 4 Meng, Xianghua 4 Raynaud, Xavier 4 Rui, Weiguo 4 Wang, Yang 4 Wang, Yiju 4 Wazwaz, Abdul-Majid Abdul-Rahman 4 Wu, Xinglong 4 Xu, Tao 4 Xu, Tianzhou 4 Xu, Wei 4 Xue, Bo 4 Yang, Hongxiang 4 Yang, Yuning 4 Zhang, Chun-Yi 4 Zhou, Yong 3 Brandolese, Lorenzo 3 Cai, Zongxi 3 Chen, Can 3 Chen, Dengyuan 3 Chen, Haibin 3 Dai, Honghua 3 Dong, Xiaofang 3 Ferreira, Orizon Pereira 3 Gong, Dong 3 Guo, Yunxi 3 Ivanov, Rossen I. 3 Karlsen, Kenneth Hvistendahl 3 Khalique, Chaudry Masood 3 Khusnutdinova, Karima Robertovna 3 Li, Biao 3 Li, Fengquan 3 Li, Suhua 3 Li, Yachun 3 Li, Yaotang 3 Liu, Jingjing 3 Ma, Wen-Xiu 3 Mi, Yongsheng 3 Mustafa, Octavian G. 3 Németh, Sándor Zoltán 3 Parker, Allen 3 Salupere, Andrus 3 Shen, Jianwei 3 Song, Zilong 3 Tam, Honwah ...and 636 more Authors
all top 5

#### Cited in 146 Serials

 35 Journal of Mathematical Physics 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 International Journal of Engineering Science 25 Journal of Differential Equations 22 Applied Mathematics and Computation 20 Journal of Mathematical Analysis and Applications 18 Chaos, Solitons and Fractals 16 Wave Motion 16 Nonlinear Analysis. Real World Applications 13 Discrete and Continuous Dynamical Systems 12 Journal of Nonlinear Mathematical Physics 10 Applied Mathematics Letters 9 Journal of Computational and Applied Mathematics 9 Abstract and Applied Analysis 8 International Journal of Modern Physics B 8 Journal of Functional Analysis 8 Frontiers of Mathematics in China 7 Acta Mechanica 7 Physics Letters. A 6 Mathematical Methods in the Applied Sciences 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Monatshefte für Mathematik 6 Journal of Global Optimization 6 Mathematics and Mechanics of Solids 6 Advances in Mathematical Physics 5 Modern Physics Letters B 5 Applicable Analysis 5 Communications in Mathematical Physics 5 Theoretical and Mathematical Physics 5 Studies in Applied Mathematics 5 Journal of Nonlinear Science 5 Mathematical Problems in Engineering 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 European Journal of Mechanics. A. Solids 5 Advances in Difference Equations 4 Journal of Computational Physics 4 Meccanica 4 Quarterly of Applied Mathematics 4 Communications in Partial Differential Equations 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Continuum Mechanics and Thermodynamics 4 Nonlinear Dynamics 4 Chaos 4 International Journal of Geometric Methods in Modern Physics 3 International Journal of Theoretical Physics 3 Reports on Mathematical Physics 3 Mathematische Nachrichten 3 Proceedings of the American Mathematical Society 3 Acta Mathematicae Applicatae Sinica. English Series 3 International Journal of Computer Mathematics 3 Journal of Elasticity 3 SIAM Journal on Optimization 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Applied Mathematics 3 Analysis and Applications (Singapore) 3 Acta Mechanica Sinica 3 AMM. Applied Mathematics and Mechanics. (English Edition) 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Computers & Mathematics with Applications 2 International Journal of Plasticity 2 Journal of the Mechanics and Physics of Solids 2 Advances in Mathematics 2 Mathematics and Computers in Simulation 2 Applied Mathematics and Mechanics. (English Edition) 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Applied Mathematical Modelling 2 Computational Optimization and Applications 2 Numerical Linear Algebra with Applications 2 European Journal of Control 2 Journal of Shanghai University 2 International Journal of Modern Physics C 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Applied Mathematics and Computing 2 Journal of Industrial and Management Optimization 2 Waves in Random and Complex Media 1 Modern Physics Letters A 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Solids and Structures 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Physica A 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Glasgow Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Mechanics Research Communications 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Control and Optimization ...and 46 more Serials
all top 5

#### Cited in 40 Fields

 375 Partial differential equations (35-XX) 146 Mechanics of deformable solids (74-XX) 133 Dynamical systems and ergodic theory (37-XX) 82 Fluid mechanics (76-XX) 37 Numerical analysis (65-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 21 Operations research, mathematical programming (90-XX) 15 Ordinary differential equations (34-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Systems theory; control (93-XX) 8 Mechanics of particles and systems (70-XX) 7 Computer science (68-XX) 6 Algebraic geometry (14-XX) 6 Special functions (33-XX) 6 Difference and functional equations (39-XX) 6 Quantum theory (81-XX) 5 Number theory (11-XX) 5 Approximations and expansions (41-XX) 5 Biology and other natural sciences (92-XX) 4 Functions of a complex variable (30-XX) 4 Operator theory (47-XX) 4 Differential geometry (53-XX) 3 Combinatorics (05-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)