2020/05/31 by M. Mohammadi, R. Dehghani, Rayhaneh Dehghani
Mathematics · Physics and Astronomy · #Algorithm #Amplitude #Computer science #Fractal #Materials science #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Optics #Orbital Angular Momentum in Optics #Phase (matter) #Physics #Quantum mechanics #Range (aeronautics) #hep-ph #nlin.PS
paper · pdf · doi:10.1016/j.cnsns.2020.105575
openalex created_date 2020/05/29 · arxiv created 2020/09/19 · openalex publication_date 2020/10/17 · arxiv updated 2020/11/25 · openalex updated_date 2026/08/05
We borrow the form of potential of the well-known kink-bearing φ4 system in the range between its two vacua and paste it repeatedly into the other ranges to introduce the periodic φ4 system. The paper is devoted to providing a comparative numerical study of the properties of the two systems. Although the two systems are quite similar for a kink (antikink) solution, they usually exhibit different behaviors throughout collisions. For instance, they have different critical velocities, different results during collisions, and a different rule in their quasi-fractal structures. Their quasi-fractal structures will be studied in the disturbed kink-antikink collisions as well. Hence, three types of scattering windows will be introduced with respect to the incoming speed, the amplitude, and initial phase of the internal mode, respectively. Moreover, a detailed comparative study of the collisions between two kinks and one antikink will be done at the end.