COMPLETENESS OF THE JOST SOLUTIONS IN THE CASE OF THE NLS+ EQUATION WITH NONVANISHING BOUNDARY CONDITION

doi:10.1088/1004-423X/3/5/001

中国物理B ›› 1994, Vol. 3 ›› Issue (5): 321-327.doi: 10.1088/1004-423X/3/5/001

• GENERAL • 下一篇

COMPLETENESS OF THE JOST SOLUTIONS IN THE CASE OF THE NLS⁺ EQUATION WITH NONVANISHING BOUNDARY CONDITION

陈宗蕴¹, 黄念宁²

(1)Department of Physics, and National Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China; (2)Department of Physics, Wuhan University, Wuhan 430072; Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China

收稿日期:1993-08-11 出版日期:1994-05-20 发布日期:1994-05-20
基金资助:
Project supported by the National Natural Science Foundation of China and the Chinese National Fund for Nonlinear Science Research.

COMPLETENESS OF THE JOST SOLUTIONS IN THE CASE OF THE NLS⁺ EQUATION WITH NONVANISHING BOUNDARY CONDITION

CHEN ZONG-YUN (陈宗蕴)^a, HUANG NIAN-NING (黄念宁)^b

^a Department of Physics, and National Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China; ^b Department of Physics, Wuhan University, Wuhan 430072; Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China

Received:1993-08-11 Online:1994-05-20 Published:1994-05-20
Supported by:
Project supported by the National Natural Science Foundation of China and the Chinese National Fund for Nonlinear Science Research.

摘要/Abstract

摘要： In the case of the NLS⁺ equation with nonvanishing boundary condition, a complete set of the Jost solutions is chosen, and its completeness is shown by means of the Marchenko inverse scattering equation.

中图分类号: (Solitons)

05.45.Yv

陈宗蕴, 黄念宁. COMPLETENESS OF THE JOST SOLUTIONS IN THE CASE OF THE NLS⁺ EQUATION WITH NONVANISHING BOUNDARY CONDITION[J]. 中国物理B, 1994, 3(5): 321-327.

CHEN ZONG-YUN (陈宗蕴), HUANG NIAN-NING (黄念宁). COMPLETENESS OF THE JOST SOLUTIONS IN THE CASE OF THE NLS⁺ EQUATION WITH NONVANISHING BOUNDARY CONDITION[J]. Acta Physica Sinica (Overseas Edition), 1994, 3(5): 321-327.

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COMPLETENESS OF THE JOST SOLUTIONS IN THE CASE OF THE NLS⁺ EQUATION WITH NONVANISHING BOUNDARY CONDITION

COMPLETENESS OF THE JOST SOLUTIONS IN THE CASE OF THE NLS⁺ EQUATION WITH NONVANISHING BOUNDARY CONDITION

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