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Solitons In A One-Dimensional Lennard-Jones Lattice

Y. Ishimori
Published 1982 · Physics

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Since the discovery of solitons by Zabusky and Kruskal,1) many studies have been made on the nonlinear wave propagation in one-dimensional anharmonic lattices. ) Important equations in this problem are the Zabusky equation (or the Boussinesq equation), the Korteweg-de Vries (K-dV) equation, the modified K-dV equation, the nonlinear Schrodinger equation, the Sine-Gordon equation, the Toda lattice equation and so on. 2 ),3) They all were investigated in detail both numerically and analytically and are known to have N-soliton solutions. ) In these lattices, solitons play an important role for the physical properties such as heat conduction. 4 )
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