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| 1 | Exponential attractors of the nonlinear wave equations显示文摘The (E, E)-type exponential attractors for the nonlinear wave equation were obtained by using the decomposition of operators and finite covering method.This results solves the open problem of Eden et al. | DAI Zhengde 1 and MA Dacai 2 1. Department of Mathematics, Yunnan University, Kunming 650031, China 2. Department of Mathematics, Shangrao Teachers College, Shangrao 334000, China | 1998 | Chinese Science Bulletin1998，43，16： | 2 |
| 2 | Abundant new exact solutions for the (3 + 1)-dimensional Jimbo Miwa equation 显示文摘 | Li Zitian Dai Zhengde | 2010 | Journal of Mathematical Analysis and Applications2010，361，： | 1 |
| 3 | Exact three-wave solution for higher dimensional KdV-type equation显示文摘 | Chuanjian Wang Zhengde Dai Lin Liang | 2010 | Applied Mathematics and Computation2010，，2： | 1 |
| 4 | Exact three-wave solutions for the KP equation显示文摘 | Zhengde Dai Songqing Lin Haiming Fu Xiping Zeng | 2010 | Applied Mathematics and Computation2010，，5： | 1 |
| 5 | Exact chirped solitary-wave solutions for Ginzburg–Landau equation显示文摘 | Haiming Fu Zhengde Dai | 2009 | Communications in Nonlinear Science and Numerical Simulation2009，，6： | 1 |
| 6 | Exact Homoclinic Wave and Soliton Solutions for the 2D Ginzburg–Landau Equation显示文摘 | Zitian Li Zhenjiang Liu | 2008 | Physics Letters A2008，372，17： | 1 |
| 7 | Exact homolinic wave and solition solutions for the 2D GinzburgLandau equation显示文摘 | Dai Zhengde Li Zitian Liu Zhenjiang | 2008 | Physics Letters A2008，372，30： | 1 |
| 8 | Expontial attarctors for the Ginzburg-andau-BBM equations显示文摘 | Dai Zhengde Jiang Murong | 2001 | J Math Res Expo2001，21，3： | 1 |
| 9 | Homo - clinic orbits and periodic soliton for Boussinesq equation with even constraint 显示文摘 | DAI Zhengde HUANG Jian JIANG Mu-rong | 2005 | CHAOS Solitons and Fractals2005，26，4： | 1 |
| 10 | Exact periodic solitary wave solutions for the (2+1)-dimensional Boussinesq equation 显示文摘 | LIU Changfu DAI Zhengde | 2010 | Journal of Mathematical Analysis and Applications2010，367，2： | 1 |
| 11 | Singular Periodic Soliton Solutions and Resonance for the Kadomtsev–Petviashvili Equation显示文摘 | Shaolin Li Qingyun Dai | 2007 | Chaos Solitons and Fractals2007，34，4： | 1 |
| 12 | Exact homoclinic wave and solition solutions for the 2D Ginzbu- rg-Landau equation显示文摘 | DAI Zhengde LI Zhitian LIU Zhenjiang | | 0，，17： | 1 |
| 13 | Singular periodic soliton solutions and resonance for the Kadomts- ev-Petviashvili equation显示文摘 | DAI Zhengde LI Shaolin DAI Qingyun | | 0，，04： | 1 |
| 14 | Exact homoclinic wave and solition solutions for the 2D Ginzburg-Landau equation显示文摘 | Dai Zhengde Li Zitian Liu Zhenjiang | | 0，，17： | 1 |
| 15 | Exact chirped solitary-wave solutions for Ginzburg-Landau equation显示文摘 | Fu Haiming Dai Zhengde | 2010 | Commun Nonlinear Sci Numer Simul2010，15，6： | 1 |
| 16 | Double exp-function method and application显示文摘 | Fu Haiming Dai Zhengde | 2009 | Inter J Nonl Sci &- Numer Simul2009，10，7： | 1 |
| 17 | Exact homoclinic wave and solition solutions for the 2D Ginzburg-Landau equation显示文摘 | DAI Zhengde LI Zhitian LIU Zhenjiang | 2008 | Physies Letters A2008，372，17： | 1 |
| 18 | Singular periodic soliton solutions and resonance for the Kadomtsev-Petviashvili equation, Chaos显示文摘 | DAI Zhengde LI Shaolin DAI Qingyun | 2007 | Solitions and Fraetals2007，34，4： | 1 |
| 19 | Blow-UP of Solutions of Some Nonlinear Elastic Wave Equations显示文摘Insomeproblemsofnonlinearwavepropagationinwaveguidestheinteractionofwaveguidesandtheexternalmediumandthereforethepossibilityo... | Shuhong HE and Zhengde DAI (Department of Mathematics Yunnan University , Kunming 650091, China) E mail: lubn@ns.nlspku.ac.cn | 1998 | Communications in Nonlinear Science and Numerical Simulation1998，3，2： | 0 |
| 20 | Lump solutions and interaction solutions for(2+1)-dimensional KPI equation显示文摘The lump solutions and interaction solutions are mainly investigated for the(2+1)-dimensional KPI equation.According to relations of the undetermined parameters of the test functions,the N-soliton solutions are showed by computations of the Maple using the Hirota bilinear form for(2+1)-dimensional KPI equation.One type of the lump solutions for(2+1)-dimensional KPI equation has been deduced by the limit method of the N-soliton solutions.In addition,the interaction solutions between the lump and N-soliton solutions of it are studied by the undetermined interaction functions.The sufficient conditions for the existence of the interaction solutions are obtained.Furthermore,the new breather solutions for the(2+1)-dimensional KPI equation are considered by the homoclinic test method via new test functions including more parameters than common test functions. | Yanfeng GUO Zhengde DAI Chunxiao GUO | 2022 | Frontiers of Mathematics in China2022，17，5： | 0 |
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