Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation

Yakup YILDIRIM, (Yakın Doğu Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Lefkoşa, Kıbrıs)
Emrullah YAŞAR (Uludağ Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Bursa, Türkiye)
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
1 1
Yıl: 2021 Cilt: 70 Sayı: 1 Sayfa Aralığı: 382 - 396 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.645030 İndeks Tarihi: 29-07-2022

Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation

Öz:
In this paper, we study lump-type solutions to a new extended (3+1)-dimensional nonlinear evolution equation which appears in the field of wave propagation in the nonlinear systems. We generate these types of solutions by considering the prime number p = 3 of the generalized Hirota bilinear operators. With the help of Maple symbolic computations, we retrieve twenty-two classes of lump-type solutions which are a special kind of rational function solutions, localized in all directions in the space and describe various dispersive wave phenomena. These lump-type solutions are derived from positive quadratic function solutions by using the generalized Hirota bilinear form of the considered model. The lump solutions are recovered along with the existence conditions: Analyticity, positivity and localization in all directions. The required conditions of the analyticity and positivity of the solutions can be easily achieved by taking special choices of the involved parameters. The main ingredients for this scheme are to recover the Hirota bilinear forms and their generalized equivalences. Lastly, the graphical simulations of the exact solutions are depicted.
Anahtar Kelime: Lump-type solution An new extended (3+1)-dimensional nonlinear evolution equation Generalized bilinear operator Symbolic computation

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Yıldırım Y, yasar e (2021). Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation. , 382 - 396. 10.31801/cfsuasmas.645030
Chicago Yıldırım Yakup,yasar emrullah Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation. (2021): 382 - 396. 10.31801/cfsuasmas.645030
MLA Yıldırım Yakup,yasar emrullah Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation. , 2021, ss.382 - 396. 10.31801/cfsuasmas.645030
AMA Yıldırım Y,yasar e Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation. . 2021; 382 - 396. 10.31801/cfsuasmas.645030
Vancouver Yıldırım Y,yasar e Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation. . 2021; 382 - 396. 10.31801/cfsuasmas.645030
IEEE Yıldırım Y,yasar e "Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation." , ss.382 - 396, 2021. 10.31801/cfsuasmas.645030
ISNAD Yıldırım, Yakup - yasar, emrullah. "Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation". (2021), 382-396. https://doi.org/10.31801/cfsuasmas.645030
APA Yıldırım Y, yasar e (2021). Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 70(1), 382 - 396. 10.31801/cfsuasmas.645030
Chicago Yıldırım Yakup,yasar emrullah Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 70, no.1 (2021): 382 - 396. 10.31801/cfsuasmas.645030
MLA Yıldırım Yakup,yasar emrullah Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.70, no.1, 2021, ss.382 - 396. 10.31801/cfsuasmas.645030
AMA Yıldırım Y,yasar e Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2021; 70(1): 382 - 396. 10.31801/cfsuasmas.645030
Vancouver Yıldırım Y,yasar e Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2021; 70(1): 382 - 396. 10.31801/cfsuasmas.645030
IEEE Yıldırım Y,yasar e "Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 70, ss.382 - 396, 2021. 10.31801/cfsuasmas.645030
ISNAD Yıldırım, Yakup - yasar, emrullah. "Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 70/1 (2021), 382-396. https://doi.org/10.31801/cfsuasmas.645030
Sayfa Oluşturulma Tarihi
23-04-2024 19:11

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