# On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system

@article{MacasDaz2010OnTS, title={On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system}, author={J. E. Mac{\'i}as-D{\'i}az}, journal={Comput. Phys. Commun.}, year={2010}, volume={181}, pages={1842-1849} }

Abstract In this work, we present a numerical method to consistently approximate solutions of a spatially discrete, double sine-Gordon chain which considers the presence of external damping. In addition to the finite-difference scheme employed to approximate the solution of the difference-differential equations of the model under investigation, our method provides positivity-preserving schemes to approximate the local and the total energy of the system, in such a way that the discrete rate of… Expand

#### Topics from this paper

#### 5 Citations

Computational study of the nonlinear bistability in a relativistic wave equation with anomalous diffusion

- Physics
- 2018

5

A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives

- Mathematics, Computer Science
- Comput. Phys. Commun.
- 2018

38

Nonlinear energy transmission in systems with nonlocal effects and relativistic potentials

- Physics
- 2018

Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping

- Mathematics, Computer Science
- Comput. Phys. Commun.
- 2011

27

#### References

SHOWING 1-10 OF 17 REFERENCES

Numerical approximation of the Ginzburg-Landau equation with memory effects in the dynamics of phase transitions

- Mathematics, Computer Science
- Comput. Phys. Commun.
- 2008

8

Nonlinear supratransmission and bistability in the Fermi-Pasta-Ulam model.

- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2004

78- PDF

Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)

- Mathematics, Computer Science
- Comput. Phys. Commun.
- 2010

169

A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified Klein‐Gordon equation

- Mathematics, Physics
- 2005

29- PDF

Gap soliton formation by nonlinear supratransmission in Bragg media [rapid communication]

- Physics, Mathematics
- 2004

42- PDF

Energy transmission in the forbidden band gap of a nonlinear chain.

- Physics, Medicine
- Physical review letters
- 2002

125 Highly Influential- PDF

Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions

- Mathematics, Computer Science
- Comput. Phys. Commun.
- 2007

34- PDF