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International Journal of Computer Mathematics Volume 98, 2021 - Issue 7
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Original Articles

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

Qingchen Lua Electrical and Computer Engineering Management Department, North University of China, Shuozhou, Shanxi province, China
,
Onur Alp Ilhanb Department of Mathematics, Faculty of Education, Erciyes University, Melikgazi-Kayseri, TurkeyORCID Iconhttps://orcid.org/0000-0003-1618-6439
ORCID Icon,
Jalil Manafianc Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, IranCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-7201-6667
ORCID Icon &
Laleh Avazpourd Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI, USAORCID Iconhttps://orcid.org/0000-0002-6251-6710
ORCID Icon
Pages 1457-1473 | Received 07 May 2020, Accepted 31 Aug 2020, Published online: 27 Sep 2020
 
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Abstract

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.

2010 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).

Funding

This work was not supported by any specific funding.

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