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arxiv: 1212.2319 · v1 · pith:YN5MEM42new · submitted 2012-12-11 · 🌊 nlin.SI

Conservation laws of some lattice equations

classification 🌊 nlin.SI
keywords latticeequationboussinesqequationsconservationlawssomeboussinesq-type
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We derive infinitely many conservation laws for some multi-dimensionally consistent lattice equations from their Lax pairs. These lattice equations are the Nijhoff-Quispel-Capel equation, lattice Boussinesq equation, lattice nonlinear Schr\"{o}dinger equation, modified lattice Boussinesq equation, Hietarinta's Boussinesq-type equations, Schwarzian lattice Boussinesq equation and Toda-modified lattice Boussinesq equation.

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