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

DOI10.1017/S1446181100007975zbMath1043.37051OpenAlexW2134272853MaRDI QIDQ3146201

Xing-Biao Hu, Johan Springael

Publication date: 2002

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100007975

zbMATH Keywords

canonical Lax pair

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• Recursion operators and bi-Hamiltonian structures in multidimensions. II
• Recursion operators and bi-Hamiltonian structures in multidimensions. I
• On a ruin problem with interaction
• Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Application of hereditary symmetries to nonlinear evolution equations
• Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure
• Evolution equations possessing infinitely many symmetries
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Bäcklund transformation and nonlinear superposition formula of an extended Lotka - Volterra equation
• Nonlinear superposition formulae for the differential-difference analogue of the KdV equation and two-dimensional Toda equation
• The Lotka-Volterra Equations and the QR Algorithm

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