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arxiv: 1106.0636 · v3 · pith:VREQR4N6new · submitted 2011-06-03 · 🌊 nlin.SI · math-ph· math.MP

Families of Integrable Equations

classification 🌊 nlin.SI math-phmath.MP
keywords familiesequationsfamilyintegrablemembersacklundconnectedfocus
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We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through B\"acklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.

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