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Conservation laws of some lattice equations |
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| Authors: | Junwei Cheng Dajun Zhang |
| Affiliation: | Department of Mathematics, Shanghai University, Shanghai 200444, China |
| Abstract: | We derive infinitely many conservation laws for some multidimensionally 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. |
| Keywords: | Conservation law Lax pair multi-dimensionally consistent lattice equation discrete integrable system |
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