期刊
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
卷 71, 期 1, 页码 69-79出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/zna-2015-0440
关键词
Backlund Transformation; Bell Polynomials; (2+1)-Dimensional Generalised Variable-Coefficient Shallow Water Wave Equation; Infinitely Many Conservation Law; Soliton Solutions
资金
- National Natural Science Foundation of China [11272023]
- State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications) [IPOC2013B008]
Under investigation in this article is a (2+1)-dimensional generalised variable-coefficient shallow water wave equation, which describes the interaction of the Riemann wave propagating along the y axis with a long-wave propagating along the x axis in a fluid, where x and y are the scaled space coordinates. Bilinear forms, Backlund transformation, Lax pair, and infinitely many conservation law are derived based on the binary Bell polynomials. Multi-soliton solutions are constructed via the Hirota method. Propagation and interaction of the solitons are illustrated graphically: (i) variable coefficients affect the shape of the multi-soliton interaction in the scaled space and time coordinates. (ii) Positions of the solitons depend on the sign of wave numbers after each interaction. (iii) Interaction of the solitons is elastic, i.e. the amplitude, velocity, and shape of each soliton remain invariant after each interaction except for a phase shift.
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