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

• Published in: International journal of modern physics. C, Computational physics, physical computation Vol. 29; no. 7; p. 1850057
• Main Author: Macías-Díaz, Jorge E.
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 01.07.2018; World Scientific Publishing Co. Pte., Ltd
• Subjects: Bistability; Computation; Computer simulation; Damping; Mathematical models; Nonlinear differential equations; Nonlinear phenomena; Numerical methods; Partial differential equations; Quantum mechanics; Relativism; Relativistic effects; Wave equations; anomalous diffusion; nonlinear wave equation; double sine–Gordon regime; Computational simulation; nonlinear bistability

In this work, we investigate computationally the dynamics of a nonlinear partial differential equation with anomalous diffusion that extends the well-known double sine–Gordon equation from relativistic quantum mechanics. The problem under consideration includes the presence of constant damping along...