| 0 Introduction | 第1-13页 |
| 1 Finite-order expansion of solution of the Lax equation and its applications | 第13-48页 |
| 1．1 Quasi-periodic so1utions of the modified Kadomtsev-Petviashvili equation | 第13-22页 |
| 1．1．1 Decomposition of the mKP equation | 第13-17页 |
| 1．1．2 Solvable ordinary differential equations | 第17-19页 |
| 1．1．3 Quasi-periodic solutions of the mKP equation | 第19-22页 |
| 1．2 On quasi-periodic solutions of the 2+1-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation | 第22-31页 |
| 1．3 A 2+1-dimensional modified Korteweg-de Vries equation and its quasi-periodic solutions | 第31-38页 |
| 1．4 Algebro-geometric so1utions of a new 3+1-dimensional nonlinear evolution equation | 第38-48页 |
| 1．4．1 Decomposition of the 3+1-dimensional evolution equation and the AKNS hierarchy | 第38-42页 |
| 1．4．2 So1vab1e ordinary differential equations | 第42-45页 |
| 1．4．3 Algebro-geometric solutions | 第45-48页 |
| 2 Quasi-periodic solutions for the 2+1-dimensional Toda lattice equation | 第48-65页 |
| 2．1 The Ablowitz-Ladik hierarchy | 第48-51页 |
| 2．2 Decomposition | 第51-55页 |
| 2．3 Straightening out of the continuous flow | 第55-57页 |
| 2．4 Straightening out of the discrete flow | 第57-62页 |
| 2．5 Inversion | 第62-65页 |
| 3 Applications of nonlinearization approach to 2+1-dimensional integrable models | 第65-101页 |
| 3．1 Quasi-periodic solutions for some 2+1-dimensional integrable models generated by the Jaulent-Miodek hierarchy | 第65-81页 |
| 3．1．1 Non1inearization approach | 第65-67页 |
| 3．1．2 A class of 2+1-dimensional nonlinear evolution equations | 第67-69页 |
| 3．1．3 The Jaulent-Midodek hierarchy | 第69-70页 |
| 3．1．4 Finite-dimensional Hamiltonian systems | 第70-73页 |
| 3．1．5 Another integrals {H_k} and soliton equations | 第73-75页 |
| 3．1．6 Elliptic coordinates and functional independence of integrals | 第75-78页 |
| 3．1．7 Abel-Jacobi coordinates | 第78-80页 |
| 3．1．8 The Riemann-Jacobi inversion and explicit solutions | 第80-81页 |
| 3．2 Decomposition of the 2+1-dimensiona1 Gardner equation and its quasi-periodic solutions | 第81-101页 |
| 3．2．1 A hierarchy of 1+1-dimensiona1 soliton equations | 第83-84页 |
| 3．2．2 A new finite-dimensional Hamiltonian system and soliton equations | 第84-90页 |
| 3．2．3 Elliptic coordinates and the integrability | 第90-94页 |
| 3．2．4 Abel-Jacobi coordinates | 第94-96页 |
| 3．2．5 The Riemann-Jacobi inversion and explicit so1utions | 第96-101页 |
| 4 Quasi-periodic solutions for some 2+1-dimensional discrete integrable models | 第101-122页 |
| 4．1 Discrete nonlinear evolution equations | 第101-104页 |
| 4．2 A new symplectic map | 第104-107页 |
| 4．3 Decomposition of the 2+1-dimensional discrete models | 第107-110页 |
| 4．4 Elliptic coordinates and functional independence of integrals | 第110-114页 |
| 4．5 Straightening out of the continuous flow | 第114-115页 |
| 4．6 Straightening out of the discrete flow | 第115-119页 |
| 4．7 Quasi-periodic solutions | 第119-122页 |
| References | 第122-134页 |
