Solitary waves in active-dissipative dispersive media
- 21 December 1996
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 29 (24), 8067-8077
- https://doi.org/10.1088/0305-4470/29/24/029
Abstract
Solitary waves in active-dissipative dispersive media are considered. The exact solutions in the form of solitary waves and kink-shaped waves are presented. The difference equation for numerical simulation of nonlinear waves is given. Numerical results of the interaction of solitary waves are discussed. It is shown that there is a solitary wave in active-dissipative dispersive media that has the soliton property.Keywords
This publication has 9 references indexed in Scilit:
- Exact solutions of the generalized Kuramoto-Sivashinsky equationPhysics Letters A, 1990
- Invariant painlevé analysis of partial differential equationsPhysics Letters A, 1989
- Painleve analysis and Backlund transformation in the Kuramoto-Sivashinsky equationJournal of Physics A: General Physics, 1989
- Universal invariance properties of Painlevé analysis and Bäcklund transformation in nonlinear partial differential equationsPhysics Letters A, 1988
- Formation of Saturated Solitons in a Nonlinear Dispersive System with Instability and DissipationPhysical Review Letters, 1983
- The Painlevé property for partial differential equationsJournal of Mathematical Physics, 1983
- Instabilities, Pattern Formation, and Turbulence in FlamesAnnual Review of Fluid Mechanics, 1983
- Approximate Equations for Long Nonlinear Waves on a Viscous FluidJournal of the Physics Society Japan, 1978
- Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal EquilibriumProgress of Theoretical Physics, 1976