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Long-range interaction of kinks in higher-order polynomial models

Author

Listed:
  • Belendryasova, Ekaterina
  • Blinov, Petr A.
  • Gani, Tatiana V.
  • Malnev, Alexander A.
  • Gani, Vakhid A.

Abstract

We obtain asymptotic estimates of the interaction forces between kink and antikink in a family of field-theoretic models with two vacua in (1+1)-dimensional space–time. In our study we consider a new class of soliton solutions previously found in our paper (Chaos Solitons Fractals 2022;165:112805). We focus on the case of kinks having one exponential and one power-law asymptotics. We show that if the kink and antikink are faced each other with long-range tails, the force of attraction between them at large separations demonstrates a power-law decay with the distance. We also performed numerical simulations to measure the interaction force and obtained good agreement between the experimental values and theoretical estimates.

Suggested Citation

  • Belendryasova, Ekaterina & Blinov, Petr A. & Gani, Tatiana V. & Malnev, Alexander A. & Gani, Vakhid A., 2025. "Long-range interaction of kinks in higher-order polynomial models," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    • Handle: RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925001833
    DOI: 10.1016/j.chaos.2025.116170
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