Solitary Wave Solutions of the Multi-Field Sine-Gordon System

Document Type : Full length research Paper

Authors

1 Department of Physics, Faculty of Science, Jahrom University, Jahrom, Iran

2 Department of Physics, Faculty of Science, Persian Gulf University, Bushehr, Iran

Abstract

In this paper, we introduce solitary solutions of the nonlinear multi-field sine-Gordon system. Despite the use of several independent entangled fields to introduce this system, but the collective behavior of these fields can lead to kink (antikink) solutions with the same macroscopic characteristics. In other words, a kink can be constructed in infinitely different states in terms of internal structure. The important point about this internal structure is that the output of the collisions is effectively dependent on it and we are actually witnessing an uncertainty in the output of the collisions. Radiative solutions are another type of solution of the multi-field sine-Gordon system that naturally appears in all kink-antikink collisions. Conversely, the collision of two topological radiative solutions can result in the creation of a kink-antikink pair.

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References

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Journal of Research on Many-body Systems
Volume 14, Issue 2 - Serial Number 41
2024 summer
August 2024
Pages 59-71

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History

  • Receive Date: 05 March 2024
  • Revise Date: 09 June 2024
  • Accept Date: 23 September 2024

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