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Constructing families of soliton-like solutions to a (2+1)-dimensional breaking soliton equation using symbolic computation

โœ Scribed by Zhen-Ya Yan; Hong-Qing Zhang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
406 KB
Volume
44
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

The application of computer algebra to science has a bright future. In this paper, using computerized symbolic computation, new families of soliton-like solutions are obtained for (2+1)-dimensional breaking soliton equations using an ansatz. These solutions contain traveling wave solutions that are of important significance in explaining some physical phenomena. The method can also be applied to other types of nonlinear evolution equations in mathematical physics.

๐Ÿ“œ SIMILAR VOLUMES

Exact solutions of (2+1) -dimensional Bo
Exact solutions of (2+1) -dimensional Bogoyavlenskiiโ€™s breaking soliton equation with symbolic computation
โœ Tiecheng Xia; Shouquan Xiong ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 249 KB

In this paper, the generalized ( G G )-expansion method (Wang et al. (2008) and Zhang et al. (2008) [13,14]) is used to construct exact solutions of the (2 + 1)-dimensional Bogoyavlenskii's breaking soliton equation. As a result, non-travelling wave solutions with three arbitrary functions are obtai