Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1867889 | Physics Letters A | 2008 | 12 Pages |
Abstract
The relations between the consistent solutions to the first two equations of the AKNS hierarchy and the solutions for three (2+12+1)-dimension equations are discussed. Making use of the theory of (1+11+1)-dimension soliton equations and Wronskian technique, soliton solutions, rational solutions, Matveev solutions, complexitons and mixed solutions of the three (2+12+1)-dimension equations are obtained. Specially, the lump-like solutions of the GKPI equation and CKP equation, the periodic solutions of the GKPI equation and the GMKPI equation are also obtained. Besides, the dynamics including one-solitons characteristics, resonances of the two-solitons related to the GKPI equation are investigated analytically.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Yuqin Yao, Jie Ji, Yuqing Liu, Dengyuan Chen,