我的路 1
理论篇 19
Long-Time Behavior of Solution for Coupled Ginzburg-Landau Equations Describing Bose-Einstein Condensates and Nonlinear Optical Waveguides and Cavities&Zhengde Dai,Ying Huang,Xing Sun 19
Homoclinic and Heteroclinic Flows in Global Attractor for Davey-Stewartson Ⅱ Equation&Zhengde Dai,Shaolin Li 38
非扰动耗散Hamiltonian振幅波方程的整体吸引子&戴正德,杨林,黄健 54
(1+2)维斑图方程的动力学性态&戴正德 70
Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities&Zhengde Dai 76
Global Attractor for the Nonlinear Strain Waves in Elastic Waveguides&Zhengde Dai,Xianyun Du 87
Exponential Attractors for the Ginzburg-Landau-BBM Equations in an Unbounded Domain&Zhengde Dai,Murong Jiang 100
Global Attractor of Nonlinear Strain Waves in Elastic Waveguides&Zhengde Dai,Boling Guo 110
Existence Time of Solution of the(1+2)D Knobloch Equation with Initial Boundary Value Problem&Zhengde Dai,Murong Jiang 125
具有色散的反应扩散方程在分数次幂空间的指数吸引子&戴正德 136
Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities&Boling Guo,Zhengde Dai 143
Exponential Attractor of the Nonlinear Wave Equations&Zhengde Dai,Dacai Ma 158
Global Attractor of a Class of Strongly Damped Nonlinear Wave Equations&Zhengde Dai,Boling Guo,Fengxin Chen 164
The Fractal Structure of Attractor for the Generalized Kuramoto-Sivashinsky Equations&Zhengde Dai,Boling Guo,Guoguang Lin 174
Inertial Fractal Set and Fractal Structure of Attractors for the Ginzburg-Landau Equation&Zhengde Dai,Hanchun Yang 190
Inertial Fractal Sets for Dissipative Zakharov System&Zhengde Dai,Boling Guo 200
The Inertial Sets of Equation for the Flow and Magnetic Field within the Earth&Zhengde Dai,Chaochun Qu 212
The Inertial Fractal Set for Weakly Damped Forced Korteweg-de-Vries Equation&Zhengde Dai,Zhiwei Zhu 222
The Inertial Fractal Sets for Nonlinear Schr?dinger Equations&Zhengde Dai,Boling Guo,Hongjun Gao 231
非线性对称双曲组的局部可解性&戴正德 241
The Fundamental Solution of Weighted Cauchy Problem for One Ordered Fuchsian Type Pseudo Differential Operator&Zhengde Dai,Changhe Xiang 250
一类二阶Fuchs型PDE Cauchy问题的拟基本解&戴正德,向长合 263
关于一类奇异拟齐次拟微分算子&戴正德 274
一类高次蜕化抛物算子特征Cauchy问题的拟基本解&戴正德 287
奇异拟微分算子的两个定理&戴正德 294
积分算子与一类广义超几何偏微分方程&戴正德 303
方法篇 313
Inclined Periodic Homoclinic Breather and Rogue Waves for the(1+1)-Dimensional Boussinesq Equation&Zhengde Dai,Chuanjian Wang,Jun Liu 313
Combined Exp-Function Ans?tz Method and Applications&Gui Mu,Jun Liu,Zhengde Dai,Xi Liu 321
New Mechanical Feature of Two-Solitary Wave to the KdV Equation&Zhengde Dai,Fengxia Wu,Jun Liu,Gui Mu 326
An Energy Method and Application to the GL Equation&Zhengde Dai,Jun Liu,Ying Huang 330
The Three-Wave Method for Nonlinear Evolution Equation&Zhengde Dai,Chuanjian Wang,Songqing Liu,Donglong Li,Gui Mu 336
Extend Three-Wave Method for the(1+2)-Dimensional Ito Equation&Zhanhui Zhao,Zhengde Dai,Chuanjian Wang 342
The EHTA for Nonlinear Evolution Equations&Zhanhui Zhao,Zhengde Dai,Song Han 351
Applications of HTA and EHTA to YTSF Equation&Zhengde Dai,Jun Liu,Donglong Li 359
Double Exp-Function Method and Application&Haiming Fu,Zhengde Dai 367
Exact Singular and Non-Singular Solitary Wave Solutions for Kadomtsev-Petviashvili 374
Equation with p-Power of Nonlinearity&Zhengde Dai,Ying Huang,Xing Sun,Donglong Li,Zhenhua Hu 374
Exact Periodic Solitary-Wave Solutions for KdV Equation&Zhengde Dai,Zhenjiang Liu,Donglong Li 382
Periodic Kink Wave and Kinky Periodic Wave Solutions for the Jimbo-Miwa Equation&Zhengde Dai,Jun Liu,Xiping Zeng,Zhenjiang Liu 387
Exact Homoclinic Wave and Soliton Solutions for the 2D Ginzburg-Landau Equation&Zhengde Dai,Zitian Li,Zhenjiang Liu,Donglong Li 393
Exact Cross Kink Wave Solutions and Resonance for the Jimbo-Miwa Equation&Zhengde Dai,Zitian Li,Zhenjiang Liu,Donglong Li 399
Periodic Bifurcation and Soliton Deflexion for Kadomtsev-Petviashvili Equation&Zhengde Dai,Shaolin Li,Donglong Li,Aijun Zhu 404
应用篇 413
Breather Type Kink Wave of the(2+1)-Dimensional BKP Equation&Wei Chen,Hanlin Chen,Zhengde Dai 413
Resonance and Deflection of Multi-soliton to the(2+1)-Dimensional Kadomtsev-Petviashvili Equation&Zhenhui Xu,Hanlin Chen,Murong Jiang,Zhengde Dai,Wei Chen 419
New Rational Homoclinic Solution and Rogue Wave Solution for the Coupled Nonlinear Schr?dinger Equation&Longxing Li,Jun Liu,Zhengde Dai,Renlang Liu 427
Various Heteroclinic Solutions for the Coupled Schr?dinger-Boussinesq Equation&Murong Jiang,Zhengde Dai 434
New Bright and Dark Solitons for Quintic Nonlinear Derivative Schr?dinger Equation&Fengxia Wu,Zhengde Dai 441
Exact Three-Wave Solution for Higher Dimensional KdV-Type Equation&Chuanjian Wang,Zhengde Dai,Lin Liang 447
Exact Three-Wave Solutions for the KP Equation&Zhengde Dai,Songqing Lin,Haiming Fu,Xiping Zeng 453
Breather-Type Soliton and Two-Soliton Solutions for Modified Koteweg-de Vries Equation&Chuanjian Wang,Zhengde Dai,Songqing Lin,Gui Mu 462
Heteroclinic Breather-Wave Solutions for Davey-Stewartson Equation&Jun Liu,Zhengde Dai,Songqing Lin 465
New Two Soliton and Periodic Solutions to KdV Equation&Zhengde Dai,Jun Liu,Gui Mu,Chuanjian Wang 473
Exact Periodic Kink Wave and Degenerative Soliton Solutions for Potential Kadomtsev-Petviashvili Equation&Zhengde Dai,Jun Liu,Zhenjiang Liu 479
Homoclinic Breather Wave Solutions for Sine-Gordon Equation&Zhengde Dai,Daquan Xian 486
New Periodic Soliton Solutions for the(3+1)-Dimensional Potential-YTSF Equation&Xiping Zeng,Zhengde Dai,Donglong Li 490
Application of Exp-Function Method to Potential Kadomtsev-Petviashvili Equation&Daquan Xian,Zhengde Dai 496
Application of Exp-Function Method for 2D Cubic-Quintic Ginzburg-Landau Equation&Yeqiong Shi,Zhengde Dai,Donglong Li 505
Homoclinic Breather-Wave with Convective Effect for the(1+1)-Dimensional Boussinesq Equation&Zhengde Dai,Daquan Xian,Donglong Li 516
Periodic Homoclinic Wave of(1+1)-Dimensional Long-Short Wave Equation&Donglong Li,Zhengde Dai,Yanfeng Guo 521
Exact Soliton Solutions for the Fifth-Order Sawada-Kotera Equation&Changfu Liu,Zhengde Dai 526
Singular Periodic Soliton Solutions and Resonance for the Kadomtsev-Petviashvili Equation&Zhengde Dai,Shaolin Li,Qingyun Dai,Jian Huang 531
Heteroclinic Tubes for the Davey-Stewartson I Equation with Periodic Boundary Conditions&Zhengde Dai,Aijun Zhu,Shaolin Li 537
Explicit Homoclinic Tube Solutions and Chaos for Zakharov System with Periodic Boundary&Zhengde Dai,Jian Huang,Murong Jiang 547
Homoclinic Bifurcation for Boussinesq Equation with Even Constraint&Zhengde Dai,Murong Jiang,Qingyun Dai,Shaolin Li 555
Homoclinic Degeneracy for Perturbed Nonlinear Schr?dinger Equation&Aijun Zhu,Zhengde Dai 560
Homoclinic Orbits and Periodic Solitons for Boussinesq Equation with Even Constraint&Zhengde Dai,Jian Huang,Murong Jiang,Shenghua Wang 568
Homoclinic Tubes for the Davey-Stewartson Ⅱ Equation with Periodic Boundary Conditions&Zhengde Dai,Jian Huang 574
附录1:1982-2015年发表的论文目录 581
附录2:1992年以来出版的著作 591