A Bäcklund transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy

• Autores: Johan Springael, Xing-Biao Hu
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 44, Nº 1, 2002, págs. 121-128
• Idioma: inglés
• DOI: 10.1017/s1446181100007975
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• Resumen

  • A hierarchy of bilinear Lotka-Volterra equations with a unified structure is proposed. The bilinear Bäcklund transformation for this hierarchy and the corresponding canonical Lax pair are obtained. Furthermore, the nonlinear superposition formula is proved rigorously.