Czasopismo
2022
|
Vol. 55, nr 1
|
490--505
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
In this article, we obtained new infinite sets of exact soliton solutions for the nonlinear evolution system of three-wave resonant interaction equations. The solved system contains the non-zero second-order dispersion coefficients, the non-zero phase velocity mismatch, and the conformable fractional time derivative of order between zero and one. The solution method is a constructed ansatz that consists of linear combinations of the tan and cotan hyperbolic functions with complex coefficients. We stated clear systematic steps toward writing an exact soliton solution for the studied system. To show the efficiency of this method, we introduced some numerical examples on each obtained set of solutions. The computations showed that similar solutions can be obtained if one replaces the tan and cotan hyperbolic functions with the tan and cotan trigonometric functions. The new obtained fractional solutions could be useful in studying the broad applications of triad resonances in plasma physics and in nonlinear optics.
Czasopismo
Rocznik
Tom
Strony
490--505
Opis fizyczny
Bibliogr. 32 poz.
Twórcy
autor
- Department of Mathematics, Faculty of Science, Al-Hussein Bin Talal University, P. O. Box (20), Ma’an, Jordan, Saharmq@ahu.edu.jo
autor
- Department of Mathematics, Faculty of Science, Al-Hussein Bin Talal University, P. O. Box (20), Ma’an, Jordan
Bibliografia
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Uwagi
PL
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-6dac1a6f-9fe3-45c1-a179-dd06af8b7ccb