期刊
REPORTS ON MATHEMATICAL PHYSICS
卷 66, 期 3, 页码 355-365出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0034-4877(11)00005-X
关键词
supersymmetric Ito's equation; Hirota's bilinear method; Riemann theta function; quasi-periodic wave solution; soliton solution
资金
- Research Grants Council [7002440]
- National Science Foundation of China [10971031]
- Shanghai Shuguang Tracking [08GG01]
A direct scheme is proposed to explicitly construct quasi-periodic wave solutions of the supersymmetric Ito's equation in superspace. This scheme is based on super Hirota bilinear formalism and a Riemann theta function formula. The relations between the periodic wave solutions and the well-known soliton solutions are rigorously established. Some new phenomena on super quasi-periodic waves are observed. For instance, there is an interesting influencing band occurred among the super quasi-periodic waves under the presence of the Grassmann variable. The super quasi-periodic waves are symmetric about the band but collapse along with the band.
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