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Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions
- Publication Year :
- 2013
-
Abstract
- 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.<br />Comment: 12 figures
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1305.3076
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/0253-6102/61/4/03