Chen, Xiaohong; Zhang, Daqing; Zhang, Hongqing; You, Fucai Algebro-geometric solutions of a \((2+1)\)-dimensional integrable equation. (Chinese. English summary) Zbl 1340.37079 Acta Math. Sci., Ser. A, Chin. Ed. 35, No. 3, 534-544 (2015). MSC: 37K10 37K20 × Cite Format Result Cite Review PDF
Sun, Yujuan; Ding, Qi; Mei, Jianqin; Zhang, Hongqing Algebro-geometric solutions of the D-AKNS equations. (Chinese. English summary) Zbl 1289.35279 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 2, 276-284 (2013). MSC: 35Q51 × Cite Format Result Cite Review PDF
Xue, Haili; Xiao, Yafeng; Zhang, Hongqing LamĂ© functions and new multi-order exact solutions to the nonlinear evolution equations. (Chinese. English summary) Zbl 1274.35315 Math. Pract. Theory 42, No. 1, 227-233 (2012). MSC: 35Q51 35C08 × Cite Format Result Cite Review PDF
Sun, Yujuan; Wang, Zhen; Zhang, Hongqing Algebro-geometric solutions to the Fokas-Lenells equation. (Chinese. English summary) Zbl 1265.35289 Chin. Ann. Math., Ser. A 33, No. 2, 135-148 (2012). MSC: 35Q51 37K40 37K20 × Cite Format Result Cite Review PDF
Xiao, Yafeng; Xue, Haili; Zhang, Hongqing Applying an extended Jacobi elliptic function expansion method to exact solutions of a class of nonlinear evolution equations. (Chinese. English summary) Zbl 1265.35006 J. North Univ. China, Nat. Sci. 33, No. 2, 93-97 (2012). MSC: 35A24 35C07 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Hongqing The model \(AC=BD\) for mathematics mechanization. (Chinese. English summary) Zbl 1199.03005 J. Syst. Sci. Math. Sci. 28, No. 8, 1030-1039 (2008). MSC: 03B35 47A05 × Cite Format Result Cite Review PDF
Li, De Sheng; Zhang, Hong Qing A simple method for constructing elliptic function solutions to nonlinear evolution equations and its applications. (Chinese. English summary) Zbl 1202.35233 Acta Phys. Sin. 55, No. 4, 1565-1570 (2006). MSC: 35Q53 × Cite Format Result Cite Review PDF
Zhang, Yu Feng; Zhang, Hong Qing Two higher-dimensional loop algebras and their applications. (Chinese. English summary) Zbl 1116.37046 Acta Math. Sin., Chin. Ser. 49, No. 6, 1287-1296 (2006). MSC: 37K30 35Q53 35Q51 × Cite Format Result Cite Review PDF
Zeng, Xin; Zhang, Hong Qing New soliton-like solutions to \((2+1)\)-dimensional dispersive long wave equations. (Chinese. English summary) Zbl 1202.35280 Acta Phys. Sin. 54, No. 2, 504-510 (2005). MSC: 35Q53 35B10 35Q51 37K40 × Cite Format Result Cite Review PDF
Zhi, Hong Yan; Wang, Qi; Zhang, Hong Qing A series of new exact solutions to the \((2+1)\)-dimensional Broer-Kau-Kupershmidt equation. (Chinese. English summary) Zbl 1202.35291 Acta Phys. Sin. 54, No. 3, 1002-1008 (2005). MSC: 35Q53 34-01 34A05 35-04 37K40 × Cite Format Result Cite Review PDF
Zeng, Xin; Zhang, Hong Qing Bäcklund transformation and exact solutions for the \((2+1)\)-dimensional Boussinesq equation. (Chinese. English summary) Zbl 1202.35279 Acta Phys. Sin. 54, No. 4, 1476-1480 (2005). MSC: 35Q53 35A30 37K35 × Cite Format Result Cite Review PDF
Yong, Xue Lin; Zhang, Hong Qing Extended projective Riccati-equation method and its application. (Chinese. English summary) Zbl 1202.34004 Acta Phys. Sin. 54, No. 6, 2514-2519 (2005). MSC: 34-04 × Cite Format Result Cite Review PDF
Yu, Ya Xuan; Wang, Qi; Zhao, Xue Qin; Zhi, Hong Yan; Zhang, Hong Qing A direct algebraic method to obtain solitary solutions of nonlinear differential-difference equations. (Chinese. English summary) Zbl 1202.34062 Acta Phys. Sin. 54, No. 9, 3992-3994 (2005). MSC: 34B45 × Cite Format Result Cite Review PDF
Li, De Sheng; Zhang, Hong Qing A new method to construct Weierstrass elliptic function solutions for soliton equations. (Chinese. English summary) Zbl 1202.35191 Acta Phys. Sin. 54, No. 12, 5540-5543 (2005). MSC: 35Q51 33E05 35Q53 × Cite Format Result Cite Review PDF
Xia, Tiecheng; Cao, Lina; Zhang, Hongqing On the size of solution, proper solution, formal Taylor series solutions and the optimization of orderings for some PDEs. (Chinese. English summary) Zbl 1108.35326 J. Syst. Sci. Math. Sci. 25, No. 6, 752-760 (2005). MSC: 35G20 35B05 × Cite Format Result Cite Review PDF
Mei, Jianqin; Zhang, Hongqing Some soliton-like and periodic solutions for a \((2+1)\)-dimensional generalization of shallow water wave equation. (Chinese. English summary) Zbl 1100.37045 Acta Math. Sci., Ser. A, Chin. Ed. 25, No. 6, 784-788 (2005). MSC: 37K40 35Q51 35Q35 × Cite Format Result Cite Review PDF
Li, De Sheng; Zhang, Hong Qing A note on the variable separation approach. (Chinese. English summary) Zbl 1202.81043 Acta Phys. Sin. 53, No. 6, 1639-1642 (2004). MSC: 81Q05 35A30 × Cite Format Result Cite Review PDF
Li, De Sheng; Zhang, Hong Qing A simple method for solving a class of nonlinearly coupled evolution equations in a higher-dimensional space. (Chinese. English summary) Zbl 1202.81042 Acta Phys. Sin. 53, No. 6, 1635-1638 (2004). MSC: 81Q05 35Q51 × Cite Format Result Cite Review PDF
Huang, Ding Jiang; Zhang, Hong Qing Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations. (Chinese. English summary) Zbl 1202.81039 Acta Phys. Sin. 53, No. 8, 2434-2438 (2004). MSC: 81Q05 35Q53 35Q51 × Cite Format Result Cite Review PDF
Xiao, Yafeng; Zhang, Hongqing Solution of modified improved Boussinesq equation with extended Jacobi elliptic function expansion. (Chinese. English summary) Zbl 1091.35523 J. Lanzhou Univ. Technol. 30, No. 1, 109-112 (2004). MSC: 35Q35 37K20 35C05 × Cite Format Result Cite Review PDF
Zhang, Yu Feng; Yan, Qing You; Zhang, Hong Qing The S-mKdV hierarchy of equations and its expanding integrable models. (Chinese. English summary) Zbl 1202.37095 Acta Phys. Sin. 52, No. 1, 5-11 (2003). MSC: 37K10 35Q53 37K20 × Cite Format Result Cite Review PDF
Li, De Sheng; Zhang, Hong Qing Improved tanh-function method and the new exact solutions for the general variable-coefficient KdV equation and MKdV equation. (Chinese. English summary) Zbl 1202.81044 Acta Phys. Sin. 52, No. 7, 1569-1573 (2003). MSC: 81Q05 35Q53 35Q51 × Cite Format Result Cite Review PDF
Li, De Sheng; Zhang, Hong Qing The new doubly-periodic solutions for nonlinear coupled scalar field equations. II. (Chinese. English summary) Zbl 1202.35133 Acta Phys. Sin. 52, No. 10, 2379-2385 (2003). MSC: 35L70 35B15 35Q53 × Cite Format Result Cite Review PDF
Li, De Sheng; Zhang, Hong Qing The new doubly-periodic solutions for nonlinear coupled scalar field equations. I. (Chinese. English summary) Zbl 1202.35132 Acta Phys. Sin. 52, No. 10, 2373-2378 (2003). MSC: 35L70 35B10 35Q53 × Cite Format Result Cite Review PDF
Xia, Tiecheng; Zhang, Hongqing; Li, Peichun Study of exact analytical solutions of Boussinesq equation. (Chinese. English summary) Zbl 1051.35057 J. Dalian Univ. Technol. 43, No. 4, 393-396 (2003). MSC: 35Q35 35C05 37K40 × Cite Format Result Cite Review PDF
Jia, Yifeng; Zhang, Hongqing Algorithms for reducing a system of PDEs. (Chinese. English summary) Zbl 1056.35006 J. Syst. Sci. Math. Sci. 23, No. 3, 381-389 (2003). MSC: 35A25 × Cite Format Result Cite Review PDF
Wang, Xiaoli; Zhang, Hongqing Expansion method about the Jacobi elliptic function and its applications. (Chinese. English summary) Zbl 1107.68534 J. Yantai Univ., Nat. Sci. Eng. 16, No. 2, 94-98 (2003). MSC: 68W30 × Cite Format Result Cite Review PDF
Xia, Tiecheng; Zhang, Hongqing Dromion and other solutions of the \((2+1)\)-dimensional dispersive long wave equation. (Chinese. English summary) Zbl 1038.35005 J. Gansu Univ. Technol. 29, No. 1, 124-127 (2003). MSC: 35A22 35Q51 58J72 × Cite Format Result Cite Review PDF
Xie, Fuding; Zhang, Hongqing The dimension of the linear differential ideal. (Chinese. English summary) Zbl 1020.12007 J. Lanzhou Univ., Nat. Sci. 39, No. 1, 4-7 (2003). MSC: 12H05 × Cite Format Result Cite Review PDF
Guan, Wei; Lin, Li Jun; Zhang, Hong Qing A new method for constructing solitary wave solutions. (Chinese. English summary) Zbl 1493.35024 Math. Pract. Theory 32, No. 5, 845-848 (2002). MSC: 35G20 35-04 35Q51 × Cite Format Result Cite Review PDF
Zhang, Yufeng; Zhang, Hongqing A transformation of Lax pairs and the Lax representation of constrained flows. (Chinese. English summary) Zbl 1142.37368 J. Jilin Univ., Sci. 40, No. 2, 114-118 (2002). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37K10 × Cite Format Result Cite Review PDF
Jiang, Dongmei; Zhang, Hongqing Explicit exact solutions to the modified improved Boussinesq equation. (Chinese. English summary) Zbl 1142.35303 J. Gansu Univ. Technol. 28, No. 3, 104-106 (2002). MSC: 35-04 35Q35 × Cite Format Result Cite Review PDF
Zhang, Yufeng; Zhang, Hongqing An integrable hierarchy in the sense of Liouville and the Hamiltonian systems of its binary constrained flows. (Chinese. English summary) Zbl 1018.37044 J. Eng. Math., Xi’an 19, No. 4, 81-85 (2002). MSC: 37K10 × Cite Format Result Cite Review PDF
Zhang, Yufeng; Zhang, Hongqing An integrable system similar to the KN hierarchy and its integrable coupling. (Chinese. English summary) Zbl 1005.37042 J. Math. Res. Expo. 22, No. 2, 289-294 (2002). MSC: 37K10 37K30 × Cite Format Result Cite Review PDF
Zhang, Yufeng; Zhang, Hongqing A new loop algebra and its applications. (Chinese. English summary) Zbl 1007.35084 Appl. Math., Ser. A (Chin. Ed.) 17, No. 3, 313-317 (2002). MSC: 35Q51 37K30 × Cite Format Result Cite Review PDF
Yan, Zhen Ya; Zhang, Hong Qing A new Lax-integrable hierarchy of evolution equations and its infinite-dimensional bi-Hamiltonian structure. (Chinese. English summary) Zbl 1202.37091 Acta Phys. Sin. 50, No. 7, 1232-1236 (2001). MSC: 37K10 37K15 × Cite Format Result Cite Review PDF
Yan, Zhenya; Zhang, Hongqing Similarity reductions and analytic solutions for \((2+1)\)-dimensional dispersive long wave equation. (Chinese. English summary) Zbl 0988.35137 Acta Math. Sci., Ser. A, Chin. Ed. 21, No. 3, 384-390 (2001). MSC: 35Q51 76B25 37K40 × Cite Format Result Cite Review PDF
Zhang, Yufeng; Zhang, Hongqing Bäcklund transformation on combined KdV and mKdV equations and some exact solutions. (Chinese. English summary) Zbl 0983.35126 J. Dalian Univ. Technol. 41, No. 4, 392-395 (2001). MSC: 35Q53 37K35 × Cite Format Result Cite Review PDF
Zhang, Yufeng; Zhang, Hongqing A family of generalized heat-conduction equations and its Hamilton structure. (Chinese. English summary) Zbl 1021.35117 J. Nanjing Univ. Aeronaut. Astronaut. 33, No. 4, 325-328 (2001). MSC: 35Q58 37K10 × Cite Format Result Cite Review PDF
Xia, Tiecheng; Zhang, Hongqing; Yan, Zhenya A new approach to construct exact solutions of nonlinear evolution equations. (Chinese. English summary) Zbl 0982.35100 J. Dalian Univ. Technol. 41, No. 3, 260-263 (2001). MSC: 35Q53 35C05 35B10 37K40 × Cite Format Result Cite Review PDF
Xie, Fuding; Zhang, Hongqing; Yan, Zhenya Explicit travelling wave solutions to the dispersive long wave equations in \(2+1\) dimensions. (Chinese. English summary) Zbl 0983.35109 J. Lanzhou Univ., Nat. Sci. 37, No. 2, 13-16 (2001). MSC: 35Q35 37K40 × Cite Format Result Cite Review PDF
Guan, Wei; Zhang, Hongqing Double method for solving nonlinear equations. (Chinese. English summary) Zbl 0988.35145 Appl. Math., Ser. A (Chin. Ed.) 16, No. 2, 163-168 (2001). MSC: 35Q53 37K40 × Cite Format Result Cite Review PDF
Zheng, Yun; Zhang, Hong Qing Explicit travelling wave solutions to a nonlinear equation. (Chinese. English summary) Zbl 1202.35290 Acta Phys. Sin. 49, No. 3, 389-391 (2000). MSC: 35Q53 × Cite Format Result Cite Review PDF
Yan, Zhen Ya; Zhang, Hong Qing Similarity reductions for a nonlinear wave equation with damping term. (Chinese. English summary) Zbl 1202.35137 Acta Phys. Sin. 49, No. 11, 2113-2117 (2000). MSC: 35L70 × Cite Format Result Cite Review PDF
Yan, Zhengya; Zhang, Hongqing New hierarchy of coupled mKdV equations and its Liouville integrable infinite dimensional Hamiltonian structure. (Chinese. English summary) Zbl 1016.37038 Math. Appl. 13, No. 2, 37-40 (2000). MSC: 37K10 35Q53 35Q51 × Cite Format Result Cite Review PDF
Yan, Zhenya; Zhang, Hongqing Lax representation, classical Poisson structures, \(r\)-matrices and Liouville integrability for constrained flows of Guo hierarchy. (Chinese. English summary) Zbl 1016.37037 Math. Appl. 13, No. 1, 56-60 (2000). MSC: 37K10 35Q51 37K40 × Cite Format Result Cite Review PDF
Yan, Zhenya; Zhang, Hongqing Separability and separation equations for the completely integrable constrained flows of Dirac hierarchy. (Chinese. English summary) Zbl 0988.35531 Acta Sci. Nat. Univ. Jilinensis 2000, No. 4, 41-43 (2000). MSC: 35Q40 35Q58 81R10 × Cite Format Result Cite Review PDF
Yan, Zhenya; Zhang, Hongqing A new hierarchy of Lax integrable and Liouville integrable generalized Hamiltonian equations. (Chinese. English summary) Zbl 1017.70010 J. Dalian Univ. Technol. 40, No. 6, 649-652 (2000). MSC: 37K10 35Q58 70H06 70H05 × Cite Format Result Cite Review PDF
Guan, Wei; Zhang, Hongqing Exact and explicit solutions to KdV equation. (Chinese. English summary) Zbl 0979.35128 J. Gansu Univ. Technol. 26, No. 4, 96-99 (2000). MSC: 35Q53 35C10 × Cite Format Result Cite Review PDF
Zhang, Pei-ai; Zhang, Hong-qing Infinite Hamilton structure of an evolution equation hierarchy. (Chinese. English summary) Zbl 0962.35167 J. Dalian Univ. Technol. 40, No. 1, 11-13 (2000). MSC: 35Q58 37K15 × Cite Format Result Cite Review PDF
Fan, Engui; Zhang, Hongqing Explicit exact solutions for nonlinear wave equations. (Chinese. English summary) Zbl 0962.35160 J. Math. Res. Expo. 20, No. 3, 421-424 (2000). MSC: 35Q53 35C05 37K40 × Cite Format Result Cite Review PDF
Yan, Zhenya; Zhang, Hongqing Explicit solitary wave solutions for the combined Zakharov-Kuznetsov equation. (Chinese. English summary) Zbl 0961.35146 Pure Appl. Math. 16, No. 2, 31-35 (2000). MSC: 35Q53 35C05 37K40 × Cite Format Result Cite Review PDF
Yan, Zhenya; Zhang, Hongqing Auto-Bäcklund transformation, multi-soliton solutions and rational fraction solutions for the modified dispersive water waves equations. (Chinese. English summary) Zbl 0961.35147 Acta Math. Sci. (Chin. Ed.) 20, No. 2, 210-215 (2000). MSC: 35Q53 37K40 76B15 × Cite Format Result Cite Review PDF
Yan, Zhen Ya; Zhang, Hong Qing Explicit exact solutions of nonlinear approximate equations for long waves in shallow water. (Chinese. English summary) Zbl 1202.76031 Acta Phys. Sin. 48, No. 11, 1962-1968 (1999). MSC: 76B15 × Cite Format Result Cite Review PDF
Yan, Zhen Ya; Zhang, Hong Qing Exact soliton solutions of variable coefficient KdV-MKdV equations with three arbitrary functions. (Chinese. English summary) Zbl 1202.35274 Acta Phys. Sin. 48, No. 11, 1957-1961 (1999). MSC: 35Q53 35Q51 37K40 × Cite Format Result Cite Review PDF
Yan, Zhen Ya; Zhang, Hong Qing; Fan, En Gui New explicit travelling wave solutions for a class of nonlinear evolution equations. (Chinese. English summary) Zbl 1202.35310 Acta Phys. Sin. 48, No. 1, 1-5 (1999). MSC: 35Q55 35C05 × Cite Format Result Cite Review PDF
Yan, Zhenya; Zhang, Hongqing New Liouville completely integrable hierarchy of generalized Burgers equations and its Hamiltonian structure. (Chinese. English summary) Zbl 1005.37041 Math. Appl. 12, No. 4, 41-44 (1999). MSC: 37K10 35Q53 × Cite Format Result Cite Review PDF
Zhang, Hongqing; Chen, Yufu A method of reducing over-determined differential equations. (Chinese. English summary) Zbl 0948.35087 J. Dalian Univ. Technol. 39, No. 2, 137-143 (1999). MSC: 35N05 58J70 35A25 35A30 × Cite Format Result Cite Review PDF
Fan, Engui; Zhang, Hongqing Symmetry reductions and similarity solutions of variant Boussinesq equation systems. (Chinese. English summary) Zbl 0943.35072 Acta Math. Sci. (Chin. Ed.) 19, No. 4, 373-378 (1999). MSC: 35Q35 37K05 × Cite Format Result Cite Review PDF
Fan, Engui; Zhang, Hongqing Some new applications of homogeneous balance method. (Chinese. English summary) Zbl 0936.35155 Acta Math. Sci. (Chin. Ed.) 19, No. 3, 286-292 (1999). MSC: 35Q51 37K35 37K05 × Cite Format Result Cite Review PDF
Zhang, Hongqing; Yan, Zhenya New explicit exact solutions to nonlinear evolution equations. (Chinese. English summary) Zbl 0931.35157 Math. Appl. 12, No. 1, 76-79 (1999). MSC: 35Q53 35C05 37K40 × Cite Format Result Cite Review PDF
Fan, En Gui; Zhang, Hong Qing The homogeneous balance method for solving nonlinear soliton equations. (Chinese. English summary) Zbl 1202.35187 Acta Phys. Sin. 47, No. 3, 353-362 (1998). MSC: 35Q51 35C05 × Cite Format Result Cite Review PDF
Chen, Yufu; Zhang, Hongqing A sufficient and necessary condition on recursion operators. (Chinese. English summary) Zbl 0924.58026 J. Dalian Univ. Technol. 38, No. 5, 497-501 (1998). MSC: 37J99 37C80 × Cite Format Result Cite Review PDF
Zhang, Hongqing; Chao, Lu; Tang, Limin Symmetry of PDEs and their applications to elasticity equations. (Chinese. English summary) Zbl 0919.35007 J. Dalian Univ. Technol. 37, No. 3, 247-253 (1997). MSC: 35A25 58J70 74B10 × Cite Format Result Cite Review PDF
Zhang, Hongqing; Fan, Engui Bäcklund transformation and exact solution for \((2+1)\)-dimensional Kadomtsev-Petviashvili equations. (Chinese. English summary) Zbl 0898.35092 J. Dalian Univ. Technol. 37, No. 6, 624-626 (1997). MSC: 35Q53 58J72 × Cite Format Result Cite Review PDF
Zhang, Hongqing; Cao, Lu Operational form of Hilbert’s Nullstellensatz and a symbolic algorithm for the construction of a general solution to systems in elasticity. (Chinese. English summary) Zbl 0929.74008 J. Dalian Univ. Technol. 36, No. 4, 373-379 (1996). MSC: 74B05 35Q35 × Cite Format Result Cite Review PDF
Zhang, Hongqing; Alatancang Completeness of symplectic orthogonal system. (Chinese. English summary) Zbl 0916.47017 J. Dalian Univ. Technol. 35, No. 6, 754-758 (1995). MSC: 47A99 42C30 46C99 47B99 81S10 × Cite Format Result Cite Review PDF
Zheng, Yu; Zhang, Hongqing; Tang, Limin Error estimates of semi-analytical solution of mixed state Hamiltonian element. (Chinese. English summary) Zbl 0924.73242 J. Dalian Univ. Technol. 35, No. 4, 437-441 (1995). MSC: 74S05 74B99 74H99 70H05 65N15 × Cite Format Result Cite Review PDF
Zheng, Yu; Zhang, Hongqing; Tang, Limin Some criteria method for inverse problem of canonical Hamiltonian system. (Chinese. English summary) Zbl 0917.35135 J. Dalian Univ. Technol. 34, No. 6, 621-627 (1994). MSC: 35Q58 37J35 37K10 35R30 × Cite Format Result Cite Review PDF
Zhang, Hongqing; Feng, Hong Algebraic structure of general solutions to system of non-homogeneous linear operator equations. (Chinese. English summary) Zbl 0904.47008 J. Dalian Univ. Technol. 34, No. 3, 249-255 (1994). MSC: 47A50 47A05 74B05 74F15 × Cite Format Result Cite Review PDF
Zhang, Hongqing The stochastic decomposition of some kind of infinite random matrices. (Chinese. English summary) Zbl 0705.15009 Northeast. Math. J. 5, No. 1, 33-40 (1989). Reviewer: Chengxian Xu MSC: 15B52 15B51 15A23 × Cite Format Result Cite Review PDF
Wang, Ming; Zhang, Hongqing A note on some finite element methods. (Chinese. English summary) Zbl 0659.73054 Math. Numer. Sin. 8, 305-313 (1986). MSC: 74S05 × Cite Format Result Cite Review PDF
Wang, Ming; Zhang, Hongqing Finite element methods for the stationary Navier-Stokes equations in the stream function formulation. (Chinese. English summary) Zbl 0634.76028 J. Dalian Inst. Technol. 25, Suppl., 1-6 (1986). MSC: 76D05 35Q30 × Cite Format Result Cite Review PDF