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, Turkey

https://orcid.org/0000-0003-1618-6439

Jalil Manafianc Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, IranCorrespondence[email protected]

https://orcid.org/0000-0001-7201-6667

Laleh Avazpourd Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI, USA

https://orcid.org/0000-0002-6251-6710

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.

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This work was not supported by any specific funding.

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

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

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