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arXiv · 1212.2319

Conservation laws of some lattice equations

Jun-wei Cheng·Da-jun Zhang
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Abstract

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 Schrödinger equation, modified lattice Boussinesq equation, Hietarinta's Boussinesq-type equations, Schwarzian lattice Boussinesq equation and Toda-modified lattice Boussinesq equation.

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Jun-wei Cheng, Da-jun Zhang. 2012-12-11. Conservation laws of some lattice equations. https://doi.org/10.1007/s11464-013-0304-z

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