Abundant wave solutions for generalized Hietarinta equation with Hirota's bilinear operator

被引：21

作者：

Shen, Xindi ^{[1
]}

Manafian, Jalil ^{[2
,3
]}

Jiang, Meng ^{[4
]}

Ilhan, Onur Alp ^{[5
]}

Shafik, Shafik S. ^{[6
]}

Zaidi, Muhaned ^{[7
]}

机构：

[1] Shanghai Univ Med & Hlth Sci, Dept Arts & Sci, Shanghai 201318, Peoples R China

[2] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran

[3] Lankaran State Univ, Nat Sci Fac, 50 H Aslanov St, Lankaran, Azerbaijan

[4] Shanghai Univ Med & Hlth Sci, Coll Med Imaging, Shanghai 201318, Peoples R China

[5] Erciyes Univ, Fac Educ, Dept Math, TR-38039 Kayseri, Turkey

[6] Al Ayen Univ, Sci Res Ctr, Expt Nucl Radiat Grp, Thi Qar 64001, Iraq

[7] Al Manara Coll Med Sci, Al Amarah, Iraq

来源：

MODERN PHYSICS LETTERS B | 2022年 / 36卷 / 10期

关键词：

Hirota bilinear technique; bilinear form; generalized (2+1)-dimensional Hietarinta equation; periodic solitary solutions; periodic soliton wave solutions; SOLITON-SOLUTIONS; DIFFERENTIAL-EQUATIONS; LUMP SOLUTIONS; MULTIPLE-LUMP; TRANSFORMATION; SEARCH; SYSTEM;

D O I：

10.1142/S0217984922500324

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this work, we study the generalized (2+1)-dimensional Hietarinta equation by utilizing Hirota's bilinear method. In addition, the lump solution and breather solution are presented. Using suitable mathematical assumptions, the new types of lump, singular, and breather soliton solutions are derived and established in view of the hyperbolic, trigonometric, and rational functions of the governing equation. Moreover, we give a lot of graphs in some subsections to determine the analysis of behavior solutions for the generalized (2+1)-dimensional Hietarinta equation. The results are useful for obtaining and explaining some new soliton phenomena.

引用

页数：23

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