Conservation laws of some lattice equations
نویسندگان
چکیده
منابع مشابه
Conservative Discretization Methods for Wave Equations, Lattice Equations, and Conservation Laws
A variety of wave phenomena arise in systems from classical mechanics, quantum mechanics, nonlinear optics and molecular modeling which are modeled with mildly nonlinear differential equations of Hamiltonian form, with several invariant quantities and related invariance of the equations and solutions under transformation groups. There is much evidence and theory that numerical solutions often r...
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Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the converse of Noether’s Theorem. Transferring these results to difference equations is nontrivial, largely because difference operators are not d...
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ژورنال
عنوان ژورنال: Frontiers of Mathematics in China
سال: 2013
ISSN: 1673-3452,1673-3576
DOI: 10.1007/s11464-013-0304-z