期刊
COMMUNICATIONS IN THEORETICAL PHYSICS
卷 62, 期 1, 页码 17-25出版社
IOP PUBLISHING LTD
DOI: 10.1088/0253-6102/62/1/04
关键词
isospectral BKP equation; Riemann theta function; periodic wave solution; soliton solution
资金
- Fundamental Research Funds for the Central Universities [2013QNA41]
- Natural Sciences Foundation of China [11301527, 11371361]
- Key Discipline in Universities for 12th Five-Year Plans by Jiangsu Province
In this paper, based on a Riemann theta function and Hirota's bilinear form, a straightforward way is presented to explicitly construct Riemann theta functions periodic waves solutions of the isospectral BKP equation. Once the bilinear form of an equation obtained, its periodic wave solutions can be directly obtained by means of an unified theta function formula and the way of obtaining the bilinear form is given in this paper. Based on this, the Riemann theta function periodic wave solutions and soliton solutions are presented. The relations between the periodic wave solutions and soliton solutions are strictly established and asymptotic behaviors of the Riemann theta function periodic waves are analyzed by a limiting procedure. The N-soliton solutions of isospectral BKP equation are presented with its detailed proof.
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