Gradient-induced fission of solitons
FD Tappert, NJ Zabusky�- Physical Review Letters, 1971 - APS
FD Tappert, NJ Zabusky
Physical Review Letters, 1971•APSA theory of nonlinear dispersive-wave propagation in inhomogeneous media is used to
predict the behavior of a Korteweg-de Vries solitary wave (soliton) incident on a gradient
region between two uniform regions. When the gradient induces a transition into an unstable
state, the soliton fissions into a train of solitons plus, in general, an oscillatory tail. We derive
formulas giving the number and amplitudes of the fission solitons. The theory is applied to
surface gravity waves, magnetosonic waves, and ion-acoustic waves.
predict the behavior of a Korteweg-de Vries solitary wave (soliton) incident on a gradient
region between two uniform regions. When the gradient induces a transition into an unstable
state, the soliton fissions into a train of solitons plus, in general, an oscillatory tail. We derive
formulas giving the number and amplitudes of the fission solitons. The theory is applied to
surface gravity waves, magnetosonic waves, and ion-acoustic waves.
Abstract
A theory of nonlinear dispersive-wave propagation in inhomogeneous media is used to predict the behavior of a Korteweg-de Vries solitary wave (soliton) incident on a gradient region between two uniform regions. When the gradient induces a transition into an unstable state, the soliton fissions into a train of solitons plus, in general, an oscillatory tail. We derive formulas giving the number and amplitudes of the fission solitons. The theory is applied to surface gravity waves, magnetosonic waves, and ion-acoustic waves.
American Physical Society