Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice

A four-field lattice furnished by Blaszak and Marciniak is transformed into bilinear form upon introducing two auxiliary independent variables. A Bäcklund transformation in bilinear form is found for the lattice and the corresponding nonlinear superposition formula is rigorously established. As a consequence, soliton solutions to the lattice are derived.

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 Wen-Xiu Ma, Xing-Biao Hu, Si-Ming Zhu, Yong-Tang Wu; Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice. J. Math. Phys. 1 November 1999; 40 (11): 6071–6086. https://doi.org/10.1063/1.533071 and may be found at https://pubs.aip.org/aip/cha/article/19/1/015117/905678/Graph-analysis-of-cortical-networks-reveals.