Bilinearization
swMATH ID:  15172 
Software Authors:  Zhou, ZhenJiang; Fu, JingZhi; Li, ZhiBin 
Description:  An implementation for the algorithm of Hirota bilinear form of PDE in the Maple system. Based on the bilinear method of R. Hirota [The direct method in soliton theory. (2004; Zbl 1099.35111)], a reliable algorithm for generating a bilinear form of a class of nonlinear partial differential equations (PDEs) is described and a Maple package Bilinearization is established. The package will be helpful for looking for the bilinear form of nonlinear PDEs by a logarithm transformation. 
Homepage:  http://www.sciencedirect.com/science/article/pii/S0096300306006205 
Dependencies:  Maple 
Keywords:  nonlinear partial differential equation; symbolic computation; numerical examples; Maple package bilinearization; logarithm transformation 
Related Software:  Maple; HIROTA.MAX; HBFTrans2; MACSYMA; ATFM; HBHGen; WKPtest; RATH; CONSLAW 
Cited in:  5 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

An implementation for the algorithm of Hirota bilinear form of PDE in the Maple system. Zbl 1110.65098 Zhou, ZhenJiang; Fu, JingZhi; Li, ZhiBin 
2006

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Cited by 12 Authors
1  Chang, Zhaowei 
1  Fu, Jingzhi 
1  He, Jingsong 
1  Khalique, Chaudry Masood 
1  Li, Zhibin 
1  Ruan, Hangyu 
1  Wang, Lihong 
1  Yang, Xudong 
1  Ye, Yichao 
1  Zarea, Sana’a A. 
1  Zhang, Lijun 
1  Zhou, Zhenjiang 
Cited in 3 Serials
3  Applied Mathematics and Computation 
1  Abstract and Applied Analysis 
1  Advances in Differential Equations and Control Processes 
Cited in 3 Fields
5  Partial differential equations (35XX) 
2  Numerical analysis (65XX) 
1  Computer science (68XX) 