6533b854fe1ef96bd12adeab

RESEARCH PRODUCT

Real lattices modelled by the nonlinear Schrödinger equation and its generalizations

M. Remoissenet

subject

PhysicsSplit-step methodNonlinear systemsymbols.namesakeTheoretical and experimental justification for the Schrödinger equationClassical mechanicsSpin waveBreatherQuantum mechanicssymbolsKadomtsev–Petviashvili equationNonlinear Schrödinger equationSchrödinger equation

description

We present the analysis of two dimerized lattices : a bi-inductance electrical network with macroscopic wave modes, an antiferromagnetic chain whith microscopic spin waves. Using the multiple scale technique of reductive perturbation we show that the original discrete equations of motion can be reduced to a Nonlinear Schrodinger equation with complex coefficients for the first system and two coupled Nonlinear Schrodinger equations for the second system. The possible solutions of these equations are discussed in relation with our numerical simulations and real experiments.

yearjournalcountryeditionlanguage
2006-01-25
https://doi.org/10.1007/bfb0035675