Collisions between kinks with long-range tails: a simple and efficient method

Abstract

We construct initial configurations for the scattering between kinks with long-range tails. For this purpose, we exploit kink solutions in the presence of Bogomol'nyi-Prasad-Sommerfield (BPS)-preserving impurities. This approach offers a highly efficient method and effortless implementation with a negligible computational cost. Our algorithm has a much smaller complexity than the usual minimization method, becoming more than a hundred times faster in some scenarios. Consequently, conducting kink-antikink simulations becomes remarkably straightforward.

References in corpus (7)

• Spectral Walls in Soliton Collisions
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• The ${\varphi }^4$ model with the BPS preserving defect
• Highly interactive kink solutions
• Kinks in higher-order polynomial models
• Geometrically constrained kinklike configurations engendering long range, double exponential, half-compact and compact behavior
• Moduli space with a boundary

Cited by in corpus (4)

• Exact BPS double-kinks in generalized ${\varphi }^4$, ${\varphi }^6$ and sine-Gordon models
• Long-range interaction of kinks in higher-order polynomial models
• Analytical short- and long-range kink-like structures in scalar field models with polynomial interactions
• Compact structures in impurity-doped vacuumless systems