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On soliton solutions of the relativistic Lotka-Volterra hierarchy. (English) Zbl 1402.37085

Summary: Without solving the equations, we show that soliton solutions of the relativistic Lotka-Volterra hierarchy can be derived from those of the Lotka-Volterra hierarchy. The proof is based on the reductions of a discrete spectral problem.

MSC:

37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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