Novel soliton solutions for the fractional three-wave resonant interaction equations

• Autorzy: Alqaraleh Sahar M. , Talafha Adeeb G.

Identyfikatory

DOI

10.1515/dema-2022-0153

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

conformable fractional derivative; ansatz method

PL

zgodna pochodna ułamkowa; równanie interakcji

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 490--505
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Alqaraleh Sahar M.

• Department of Mathematics, Faculty of Science, Al-Hussein Bin Talal University, P. O. Box (20), Ma’an, Jordan

autor

Talafha Adeeb G.

• 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).