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

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 derivati...

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Bibliographic Details
Published in:International journal of computer mathematics 2021-07, Vol.98 (7), p.1457-1473
Main Authors: Lu, Qingchen, Ilhan, Onur Alp, Manafian, Jalil, Avazpour, Laleh
Format: Article
Language:English
Subjects:
Critical point
Hessian matrices
Multiple rogue wave solutions
multiple soliton solutions
Solitary waves
variable-coefficient Kadomtsev-Petviashvili equation
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Summary: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.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2020.1822996