Some new results on the Blaszak–Marciniak lattice: Bäcklund transformation and nonlinear superposition formula
Some new results on the Blaszak–Marciniak lattice: Bäcklund transformation and nonlinear superposition formula
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DOI：
10.1063/1.532535
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发表时间：
1998-11
影响因子：
1.3
通讯作者：
Xing-Biao Hu;Zuo-nong Zhu
中科院分区：
文献类型：
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作者：
Xing-Biao Hu;Zuo-nong Zhu
所谓的Blaszak-Marciniak晶格被认为是。通过因变量变换，将Blaszak-Marciniak格变换为四次线性格。通过引入一个辅助变量，我们进一步将其转化为双线性形式。得到了相应的Backlund变换。此外，严格证明了一个非线性叠加公式。作为所得结果的一个应用，导出了孤子解。
The so-called Blaszak–Marciniak lattice is considered. By the dependent variable transformation, the Blaszak–Marciniak lattice is transformed into a quart-linear form. By introducing an auxiliary variable, we further transform it into the bilinear form. A corresponding Backlund transformation is obtained. Furthermore, a nonlinear superposition formula is proved rigorously. As an application of the obtained results, soliton solutions are derived.