In this paper, Grammian solutions of the Ishimori-I (Ish-I) equation are first obtained by Hirota's direct method. Utilizing the source generation procedure, this equation with self-consistent sources is then presented and the corresponding Grammian solutions are derived. Finally, as a simple case, the (1,1) dromion solution is examined.
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Juan Hu, Xing-Biao Hu, Hon-Wah Tam; Ishimori-I equation with self-consistent sources. J. Math. Phys. 1 May 2009; 50 (5): 053510. https://doi.org/10.1063/1.3127482 and may be found at https://pubs.aip.org/aip/cha/article/19/1/015117/905678/Graph-analysis-of-cortical-networks-reveals.
Scopus Subject Areas
- Statistical and Nonlinear Physics
- Mathematical Physics