中国物理B ›› 1997, Vol. 6 ›› Issue (8): 561-573.doi: 10.1088/1004-423X/6/8/001

• •    下一篇

(2+1)-DIMENSIONAL DERIVATIVE NONLINEAR SCHRODINGER EQUATION

楼森岳   

  1. Institute of Madern Physics, Academia Sinica, Beijing 100080; Ningbo Normat College, Ningbo 315211, China
  • 收稿日期:1997-01-30 出版日期:1997-08-20 发布日期:1997-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China and by the Natural Science Foundation of Zhejiang Province of China.

(2+1)-DIMENSIONAL DERIVATIVE NONLINEAR SCHRODINGER EQUATION

LOU SEN-YUE (楼森岳)   

  1. Institute of Madern Physics, Academia Sinica, Beijing 100080; Ningbo Normat College, Ningbo 315211, China
  • Received:1997-01-30 Online:1997-08-20 Published:1997-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China and by the Natural Science Foundation of Zhejiang Province of China.

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摘要： A(2+1)-dimensional multi-component derivative nonlinear Schr?dinger (DNLS) equation is obtained from the symmetry constraint of the modified Kadomtsev-Petviashvili equation, The model is proved to be inte- grable under the meaning that it possesses the Paitdevé property and the infinitely many generalized symmetries which constitute a generalized W∞ algebra, An integrable DNLS hierarchy is obtained from the flow equation of infinitely many symntetries of the DNLS equation.

Abstract: A(2+1)-dimensional multi-component derivative nonlinear Schr$\ddot{o}$dinger (DNLS) equation is obtained from the symmetry constraint of the modified Kadomtsev-Petviashvili equation, The model is proved to be inte- grable under the meaning that it possesses the Paitdevé property and the infinitely many generalized symmetries which constitute a generalized W$\infty$ algebra, An integrable DNLS hierarchy is obtained from the flow equation of infinitely many symntetries of the DNLS equation.

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Jr (Partial differential equations) 02.10.-v (Logic, set theory, and algebra)