Zhijun Qiao's Publications with PDF files

(1 book and 68 research articles)



Recent Journal Publications

 

1.  Zhijun Qiao (2004): Integrable hierarchy, 3 × 3 constrained systems, and parametric and stationary solutions, Acta Applicandae Mathematicae 83, 199-220 (PDF file).

2.  Zhijun Qiao, Li S. (2004): A new integrable hierarchy, parametric solution, and traveling wave solution, Mathematical Physics, Analysis and Geometry 7(4), 289-308 (PDF file).

3.   Zhijun Qiao (2005): Cusp and cusp-like singular solutions for nonlinear partial differential equations, Chaos, Solitons and Fractals 25, 153-163 (PDF file).

4.    Zhijun Qiao (2004): Integrable vs Nonintegrable Hamiltonian Functions, in Preparation, Dept of Math, UTPA.

 

 

Early Publications (Before Aug 2004)

 

List of Books published

 

Zhijun Qiao (2002): Finite-dimensional Integrable System and Nonlinear Evolution Equations (English), 230 pages, ISBN 7-04-010516-0, Chinese National Higher Education Press, Beijing, PR China.

 

List of 10 significant articles published in refereed journals at international levels

 

1. Zhijun Qiao (2003): The Camassa-Holm hierarchy, N-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold, Communications in Mathematical Physics 239, 309-341 (PDF file).

2. Zhijun Qiao, Cao C., Strampp W. (2003): Category of nonlinear evolution equations, algebraic structure, and r-matrix, Journal of Mathematical Physics 44, 701-722 (PDF file).

3. Zhijun Qiao (2001): Generalized r-matrix structure and algebro-geometric solution

for integrable system, Reviews in Mathematical Physics 13, 545-586 (PDF file).

4. Zhijun Qiao (2001): r-matrix and algebro-geometric solution for the AKNS system, Theoretical and Mathematical Physics 127,  827-834 (PDF file).

5. Zhijun Qiao and Zhou R. (1997): Discrete and continuous integrable systems possessing the same non-dynamical r-matrix,  Physics Letters A 235, 35-40 (PDF file).

6. Zhijun Qiao (1997): Modified r-matrix and separation of variables for the MKdV

hierarchy, Physica A 243, 129-140 (PDF file).

7. Zhijun Qiao (1997): Generalized Structure of Lax Representations for Nonlinear Evolution Equation, Applied Mathematics and Mechanics 18, 671-677.

8. Zhijun Qiao (1993): A new completely integrable Liouville's system produced by the Kaup-Newell eigenvalue problem, Journal of Mathematical Physics 34, 3110-3120 (PDF file).

9. Zhijun Qiao (1993): Bargmann system and the involutive solutions of the Levi

hierarchy, Journal of Physics A 26, 4407-4417 (PDF file).

10. Zhijun Qiao (1993): Two new integrable systems in Liouville's sense, Physics

Letters A 172, 224-228 (PDF file).


List of articles published in Refereed Journals at National and International Levels (MR - Mathematical Reviews, USA; ZMATH - C Zentralblatt MATH, Germany)

 

  1. Zhijun Qiao and Strampp W. (2002): Negative order MKdV hierarchy and a new integrable Neumann-like system, Physica A 313, 365-380. ZMATH: 0998.37021 (PDF file).
  2. Zhijun Qiao and Strampp W. (2001): L−A−B representation of nonlinear evolution equations and its applications, Physica A 293, 143-156. MR: 2002c:37113 (PDF file).
  3. Zhijun Qiao and Zhou R. (2000): On restricted c-KdV and Toda flows of Neumann type, Communication in Theoretical Physics 34, 229-234. MR: 2001j:35250.
  4. Zhijun Qiao and Strampp W. (2000): A unisonant r-matrix structure of integrable systems and its reductions, Chinese Physics Letters 17, 235-237.
  5. Zhijun Qiao and Strampp W. (1999): A gauge equivalent pair with two different r-matrices, Physics Letters A 263, 365-372. MR: 2000k:81126; ZMATH: 0948.81562 (PDF file).
  6. Zhijun Qiao (1999): r-matrix and algebraic-geometric solution for the integrable symplectic map, Chinese Science Bulletin 44, 114-119. MR: 2000g:37121
  7. Zhijun Qiao (1999): C. Neumann system associated with the Levi hierarchy, Northeastern Mathematics Journal 15, 269-273. MR: 2001g:37103
  8. Zhijun Qiao and Strampp W. (1998): On different integrable systems sharing the same non-dynamical r-matrix, Journal of Mathematical Physics 39, 3271-3280. MR: 99d:58088; ZMATH: pre01333845 (PDF file).
  9. Zhijun Qiao (1998): New hierarchies of isospectral and non-isospectral integrable NLEEs derived from the Harry-Dym spectral problem, Physica A 252, 377-387. MR: 2000b:37074 (PDF file).
  10. Zhijun Qiao (1998): Non-dynamical r-matrix and algebraic-geometric solution for a discrete system, preprint 1996, Chinese Science Bulletin 43, 1149-1153. CMP: 99 07
  11. Zhijun Qiao (1997): Two new hierarchies containing the sine-Gordon and sinh-Gordon equations, and their Lax representations, Physica A 243, 141-151. MR: 98i:58123 (PDF file).
  12. Zhijun Qiao (1997): Completely integrable generalized C. Neumann systems on several symplectic submanifolds, Journal of Nonlinear Mathematical Physics 4, 221-230. MR: 97e:58120; MR: 97b:00013; ZMATH: 0956.37043 (PDF file).
  13. Zhijun Qiao (1997): Involutive solutions and commutator representations of the Dirac hierarchy, Chinese Quarterly Journal of Mathematics 12, 1: 1-4. ZMATH: 0905.35078
  14. Zhijun Qiao and Wu X. (1996): Equivalence of spectral problems, evolution equations, and Lax representations, Journal of Exploration and Research Mathematics 16, 256-258. MR: 97c:35181; ZMATH: 0871.35084
  15. Wang H., Geng X. and Zhijun Qiao (1996), A class of coupled nonlinear diffusion equations and completely integrable systems in Liouville's sense, Acta of Liaoning University (Natural Edition) 23, 2: 26-35.
  16. Zhijun Qiao (1995): A completely integrable system and the parametric representations of solutions of the WKI hierarchy, Journal of Mathematical Physics 36, 3535-3560. MR: 96m:58118; ZMATH: 0844.58045 (PDF file).
  17. Zhijun Qiao (1995): Algebraic structure of operator related to the stationary systems, Physics Letters A 206, 347-358. MR: 96m:35308; ZMATH: pre01401026 (PDF file).
  18. Zhijun Qiao (1995): Commutator representations of nonlinear evolution equations: Harry-Dym and Kaup-Newell cases, Journal of Nonlinear Mathematical Physics 2, 151-157. MR: 96k:58120; ZMATH: 0953.37016 (PDF file).
  19. Zhijun Qiao (1995): Generation of the hierarchies of solitons and generalized structure of the commutator representation, preprint 1992, Acta Applied Mathematics Sinica 18, 287-301. MR: 97b:58071; ZMATH: 0855.35110
  20. Zhijun Qiao (1995): Commutator representations of the Tu hierarchy of evolution equations, Mathematica Applicata 8, 177-181. MR: 96g:58083; ZMATH: 0949.37500
  21. Zhijun Qiao (1995), Several new spectral problems and their hierarchies of nonlinear evolution equations, Acta of Liaoning University (Natural Edition) 22, 4: 1-5.
  22. Zhijun Qiao (1995), Lax representations for a hierarchy of integrable evolution equations, Acta of Liaoning University (Natural Edition) 22, 3: 22-26.
  23. Zhijun Qiao (1995), Completely integrable Bargmann system associated with theWKI soliton hierarchy, Acta of Liaoning University (Natural Edition) 22, Suppl.: 26-32.
  24. Zhijun Qiao (1994): A hierarchy of nonlinear evolution equations and finite dimensional involutive systems, Journal of Mathematical Physics 35, 2971-2977. MR: 96a:58107; ZMATH: 0806.58046 (PDF file).
  25. Zhijun Qiao (1994): Involutive system and integrable C. Neumann system associated with the MKdV hierarchy, Journal of Mathematical Physics 35, 2978-2983. MR: 95d:58070; ZMATH: 0806.58045 (PDF file).
  26. Zhijun Qiao (1994): A general approach for getting the commutator representations of the hierarchies of nonlinear evolution equations, Physics Letters A 195, 319-329. MR: 96i:58093; ZMATH: 0961.37516 (PDF file).
  27. Zhijun Qiao (1994): Completely integrable system related to a new hierarchy of isospectral evolution equations, Physics Letters A 192, 316-322. MR: 95e:35207; ZMATH: 0959.35515 (PDF file).
  28. Zhijun Qiao (1994): A finite dimensional integrable system and the involutive solutions of the higher-order Heisenberg spin chain equations, Physics Letters A 186, 97-102. MR: 95c:82032; ZMATH: 0941.82521 (PDF file).
  29. Zhijun Qiao (1994): A completely integrable system associated with the Harry-Dym hierarchy, Journal of Nonlinear Mathematical Physics 1, 65-75. MR: 95c:58101; ZMATH: 0977.37041 (PDF file).
  30. Zhijun Qiao (1994): On the involutive solutions of soliton hierarchy, Chinese Quarterly Journal of Mathematics 9, 2: 44-53. ZMATH: pre01580313
  31. Zhijun Qiao (1994): Commutator representations of the LCZ hierarchy, Mathematica Applicata 7, 320-325. MR: 95i:35259; ZMATH: 0925.35135
  32. Li M. and Zhijun Qiao (1994), Trace formulae of a class of eigenvalue problems, Acta of Liaoning University (Natural Edition) 21, 3: 29-34.
  33. Zhijun Qiao and Shan Z. (1994), Commutator representations of the MKdV hierarchy and corresponding completely integrable systems in Liouville's sense, Acta of Liaoning University (Natural Edition) 21, 3: 1-11.
  34. Zhijun Qiao (1994), Involutive representations of solutions of a hierarchy of nonlinear evolution equations and their involutive conserved systems, Acta of Liaoning University (Natural Edition) 21, 1: 8-18.
  35. Zhijun Qiao (1993): Commutator representations of three isospectral equation hierarchies, Chinese Journal of Contemporary Mathematics 14, 41-51. MR: 94i:58093
  36. Zhijun Qiao (1993): Commutator Representations for Two Hierarchies of Nonlinear Isospectral Evolution Equations, Northeastern Mathematical Journal 9, 215-225. MR: 94k:35285; ZMATH: 0827.35116
  37. Zhijun Qiao (1993): C. Neumann Constraint and Involutive Solutions of the Tu Hierarchy, Northeastern Mathematical Journal 9, 325-330. MR: 95k:58079; ZMATH: 0809.35128
  38. Zhijun Qiao (1993): Commutator representations for the hierarchies of isospectral evolution equations, Chinese Annual Mathematics A 14, 31-38. MR: 94j:58089; ZMATH: 785.35105
  39. Zhijun Qiao (1993): A kind of Hamiltonian systems with the C. Neumann constraint and WKI hierarchy, Journal of Exploration and Research Mathematics 13, 377-343. MR: 94i:58094; MATH: 0786.35125
  40. Zhijun Qiao (1993): Nonlinearization of Lax pair for Levi hierarchy, Mathematica Applicata 6, 472-476. MR: 95c:35222
  41. Zhijun Qiao (1993), Commutator representations for the Geng hierarchy of evolution equations, Acta of Liaoning University (Natural Edition) 20, 4: 8-16.
  42. Li M. and Zhijun Qiao (1993), A proof for the theorem of eigenvalue expansion of the Dirac eigenvalue problem, Acta of Liaoning University (Natural Edition) 20, 3: 9-18.
  43. Zhijun Qiao (1993), Completely integrable Bargmann systems related to the LCZ hierarchy of soliton equations, Acta of Liaoning University (Natural Edition) 20, 2: 7-17.
  44. Zhijun Qiao (1993), An approach to obtain the commutator representations of the higher order AKNS evolution equations, Acta of Liaoning University (Natural Edition) 20, 1: 25-29.
  45. Zhijun Qiao (1992): Commutator representation of WKI hierarchy, Chinese Science Bulletin 37, 763-764.
  46. Mou W., Zhang B. and Zhijun Qiao (1992): A new polynomial involutive system and a classical completely integrable system, Acta Applied Mathematics Sinica 8, 348-356. MR: 93m:58053; ZMATH: 0772.58022
  47. Zhijun Qiao (1992), Commutator representations of the Yang hierarchy of nonlinear evolution equations, Acta of Liaoning University (Natural Edition) 19, 4: 24-29.
  48. Zhijun Qiao (1991): Representation of the Lax system for the Levi hierarchy, Chinese Science Bulletin 36, 1756-1757.
  49. Zhijun Qiao (1991): Commutator representations for the D-AKNS hierarchy of evolution equations, Mathematica Applicata 4, 64-70. MR: 92m:35239; ZMATH: 0900.35255
  50. Zhijun Qiao (1991), Commutator representations for the hierarchy of nonlinear Schroedinger equations, Acta of Nei Mongol Normal University (Natural Edition) 9, 1: 16-20.
  51. Zhijun Qiao (1990): Lax representations of the Levi hierarchy, Chinese Science Bulletin 35, 1353-1354.


Papers in Conference Proceedings

 

1.      Zhijun Qiao (1995): On commutator representation of soliton equation, Proceedings of the 2nd Youth Academic Annual Conference in Dalian, PR China, Oct. 1995, 18-21.

2.     Zhijun Qiao (1993): Four new completely integrable finite-dimensional Hamiltonian systems, Proceedings of the 2nd International Conference on Nonlinear Mechanics in Beijing, PR China, August 1993, 729-733.

3.      Zhijun Qiao (1993): Two kinds of new completely integrable Hamiltonian systems in Liouville's sense, Modern Mathematics and Mechanics (MMM -- V), Ed. Chen Zhida (Xuzhou: Publishing Company of PR China Mining University Press), 663-669.

4.       Zhijun Qiao (1992): A new kind of C. Neumann constraint and C. Neumann integrable system produced by the Tu spectral problem, Proceedings of the 1st Youth Academic Annual Conference in Shenyang, PR China, Dec. 1992, 11-18.