Numerical Illustration of -Kinks as Fundamental Nonlinear Modes in Sine-Lattice Equation
- 1 May 1987
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 77 (5) , 1090-1096
- https://doi.org/10.1143/ptp.77.1090
Abstract
We study the dynamics of the sine-lattice equation by \ddotun-sin (un+1-un)+sin (un-un-1)=0, in which there exist π-kinks as well as 2π-kinks. Numerical simulations show that a static 2π-kink (antikink), initially put on a system, splits into two π-kinks (antikinks), moving opposite directions with each other. It is also observed that with an appropriate initial impulse a pair of π-kink and anti π-kink is created from the ground state. These facts suggest that π-kink [π-K] and anti π-kink [π-K] are fundamental nonlinear modes in the system described by the equation given above.Keywords
This publication has 1 reference indexed in Scilit:
- Direct method of finding exact solutions of nonlinear evolution equationsPublished by Springer Nature ,1976