Journal of the Physical Society of Japan · 1972 · 62 citations · 6 references
Natural SciencesPhysicsDynamical SystemsPropagationAcoustic Wave PropagationLattice DynamicsNonlinear Wave DynamicsPropagation ModelingWave PropagationContinuum ElasticityElastic WavesNonlinear Lattice DynamicsNonlinear Schrödinger EquationSpring Constant
One-dimensional anharmonic lattice with spacially varying distribution of mass m and spring constant k is investigated by using a continuum model. Dynamical equation governing such a lattice can be reduced to the following simple nonlinear equation:
6
An asymptotic solution of the Korteweg-De Vries equation
V. I. Karpman · Physics Letters A · 1967 · 63 citations