Abstract / Description of output
An approximate method for describing the evolution of solitonlike initial conditions to solitons for the sine-Gordon equation is developed. This method is based on using a solitonlike pulse with variable parameters in an averaged Lagrangian for the sine-Gordon equation. This averaged Lagrangian is then used to determine ordinary differential equations governing the evolution of the pulse parameters. The pulse evolves to a steady soliton by shedding dispersive radiation. The effect of this radiation is determined by examining the: linearized sine-Gordon equation and loss terms are added to the variational equations derived from the averaged Lagrangian by using the momentum and energy conservation equations for the sine-Gordon equation. Solutions of the resulting approximate equations, which include loss, are found to be in good agreement with full numerical solutions of the sine-Gordon equation. [S1053-651X(99)10508-7].
| Original language | English |
|---|---|
| Pages (from-to) | 2330-2336 |
| Number of pages | 7 |
| Journal | Physical Review E |
| Volume | 60 |
| Issue number | 2 |
| Publication status | Published - Aug 1999 |