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- W3026161303 endingPage "105575" @default.
- W3026161303 startingPage "105575" @default.
- W3026161303 abstract "We borrow the form of potential of the well-known kink-bearing $varphi^4$ system in the range between its two vacua and paste it repeatedly into the other ranges to introduce the periodic $varphi^4$ 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." @default.
- W3026161303 created "2020-05-29" @default.
- W3026161303 creator A5048710043 @default.
- W3026161303 creator A5063253675 @default.
- W3026161303 date "2021-03-01" @default.
- W3026161303 modified "2023-09-26" @default.
- W3026161303 title "Kink-antikink collisions in the periodic <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.svg><mml:msup><mml:mi>φ</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math> model" @default.
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- W3026161303 doi "https://doi.org/10.1016/j.cnsns.2020.105575" @default.
- W3026161303 hasPublicationYear "2021" @default.
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