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Wave Propagation in Nonlinear Lattice. I

Journal of the Physical Society of Japan · 1975 · Vol. 38(3) · pp. 673–680

Abstract

A nonlinear partial differential equation which describes the wave propagation in a one-dimensional nonlinear lattice is presented and studied by various analytical methods. It is shown that the equation has periodic progressive wave, and one and two soliton solutions. It is also shown that the equation has an infinite number of conservation laws and has Bäcklund transformation. Furthermore, the application of Hirota's method to the equation is discussed.

Nonlinear Waves and Solitons Nonlinear Photonic Systems Fractional Differential Equations SolutionsPartial differential equationNonlinear systemConservation lawPhysicsLattice (music)SolitonFirst-order partial differential equationWave equationMathematical analysisDifferential equation

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410

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3.97

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References

Reductive Perturbation Method in Nonlinear Wave Propagation. I

Journal of the Physical Society of Japan · 1968 · 551 citations

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