Auto-Bäcklund Transformations Derived via the Implicit C-D Pair

Article Preview

Abstract:

By the implicit C-D pairs, a new approach to auto-B¨acklund transformations of nonlinear evolution equations is presented in this paper. The auto-B¨acklund transformations for combined KdV and MKdV equations are obtained by this approach.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1345-1348

Citation:

Online since:

December 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Zhang Hong-qing, Journal of Dalian University of Technology, (18)1978, 23-45.(in Chinese)

Google Scholar

[2] Zhang Hong-qing, Proceedings of the 5th Asian Symposium on Computer Mathematics, World Scientific, Singapore, 2001:210.

Google Scholar

[3] Fan En-gui, Physics Letter A, 294(2002), 26-30.

Google Scholar

[4] Wang Deng-Shan, Zhang Hong-qing, International Journal of Modern Physics C, 16(2005), 393-412.

Google Scholar

[5] Xiao-Ling Gai, Yi-Tian Gao, Xin Yu, Lei Wang, Applied Mathematics and Computation, 218(2011), 271-279.

Google Scholar

[6] Yi Zhang, Yang Song, Li Cheng, Jian-Ya Ge, Wei-Wei Wei, Nonlinear Dyn, 68(2012), 445-458.

Google Scholar