期刊
COMMUNICATIONS IN THEORETICAL PHYSICS
卷 61, 期 4, 页码 415-422出版社
IOP PUBLISHING LTD
DOI: 10.1088/0253-6102/61/4/03
关键词
blow-up; non-singular solutions; complex Korteweg-de Vries equation
资金
- National Science Council of the Republic of China [NSC101-2115-M-126-002]
- National Natural Science Foundation of China [11371241]
- Project of The First-class Discipline of Universities in Shanghai
In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equation, including blow-up solutions and non-singular solutions. We derive blow-up solutions from known 1-soliton solution and a double-pole solution. There is a complex Miura transformation between the complex Korteweg-de Vries equation and a modified Korteweg-de Vries equation. Using the transformation, solitons, breathers and rational solutions to the complex Korteweg-de Vries equation are obtained from those of the modified Korteweg-de Vries equation. Dynamics of the obtained solutions are illustrated.
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