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- W3093984184 abstract "In this article we obtain generalized semi-discrete short pulse equation through discretization of the associated linear eigenvalue problem of the short pulse equation. Through implication of different symmetry reductions on the generalized semi-discrete short pulse equation, new integrable equations are assembled such as complex and the PT-symmetric nonlocal semi-discrete short pulse equation. Darboux transformation is applied to construct multi-soliton solutions and we obtain a generalized formula to compute higher-order nontrivial solutions of the generalized semi-discrete short pulse equation. To demonstrate the dynamics of solutions, explicit expressions of nontrivial solutions up-to second-order are investigated for the PT-symmetric nonlocal semi-discrete short pulse equation. It is interesting to add that at every stage the solutions obtained in this work are reduced to already obtained results of reverse space–time PT-symmetric short pulse equation under continuum limit. Interactions between loops of attractive and repulsive types and first-order breather solution under local and nonlocal reductions are illustrated first time in this article for local and PT-symmetric nonlocal semi-discrete short pulse equation." @default.
- W3093984184 created "2020-10-29" @default.
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- W3093984184 date "2020-12-01" @default.
- W3093984184 modified "2023-10-14" @default.
- W3093984184 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e209 altimg=si196.svg><mml:mi mathvariant=script>PT</mml:mi></mml:math>-symmetric semi-discrete short pulse equation" @default.
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- W3093984184 doi "https://doi.org/10.1016/j.rinp.2020.103522" @default.
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