期刊
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
卷 68, 期 5, 页码 -出版社
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-017-0853-1
关键词
Binary Bell polynomials; Differential-difference nonlinear evolution equations; Solitonic propagation and interactions; Symbolic computation
资金
- National Natural Science Foundation of China [11772017]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
- Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications)
- Specialized Research Fund for the Doctoral Program of Higher Education, Chinese Ministry of Education [200800130006]
Under investigation in this paper are the Belov-Chaltikian (BC), Leznov and Blaszak-Marciniak (BM) lattice equations, which are associated with the conformal field theory, UToda(m(1), m(2)) system and r-matrix, respectively. With symbolic computation, the Bell-polynomial approach is developed to directly bilinearize those three sets of differential-difference nonlinear evolution equations (NLEEs). This Bell-polynomial approach does not rely on any dependent variable transformation, which constitutes the key step and main difficulty of the Hirota bilinear method, and thus has the advantage in the bilinearization of the differential-difference NLEEs. Based on the bilinear forms obtained, the N-soliton solutions are constructed in terms of the N x N Wronskian determinant. Graphic illustrations demonstrate that those solutions, more general than the existing results, permit some new properties, such as the solitonic propagation and interactions for the BC lattice equations, and the nonnegative dark solitons for the BM lattice equations.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据