Multiple rogue wave solutions for a variable-coefficient Kadomtsev-Petviashvili equation

被引：12
|
作者：
Lu, Qingchen [1 ]
Ilhan, Onur Alp [2 ]
Manafian, Jalil [3 ]
Avazpour, Laleh [4 ]
机构：
[1] North Univ China, Elect & Comp Engn Management Dept, Shuozhou, Shanxi, Peoples R China
[2] Erciyes Univ, Fac Educ, Dept Math, Melikgazi Kayseri, Turkey
[3] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran
[4] Univ Wisconsin, Dept Elect & Comp Engn, 1415 Johnson Dr, Madison, WI 53706 USA
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2021年 / 98卷 / 07期
关键词：
Multiple rogue wave solutions; multiple soliton solutions; variable-coefficient Kadomtsev-Petviashvili equation; PARTIAL-DIFFERENTIAL-EQUATIONS; CONSERVATION-LAWS; SOLITONS;
D O I：
10.1080/00207160.2020.1822996
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The multiple rogue wave solutions method is employed for searching the multiple soliton solutions for the new variable-coefficient Kadomtsev-Petviashvili equation, which contains first-order, second-order, third-order, and fourth-order wave solutions. At the critical point, the second-order derivative and Hessian matrix for only one point will be investigated and the lump solution has one maximum value. The physical phenomena of these gained multiple soliton solutions are analysed and indicated in figures by selecting suitable values.
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页码：1457 / 1473
页数：17
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